{"id":818381,"date":"2026-03-11T07:19:26","date_gmt":"2026-03-11T07:19:26","guid":{"rendered":"https:\/\/www.europesays.com\/uk\/818381\/"},"modified":"2026-03-11T07:19:26","modified_gmt":"2026-03-11T07:19:26","slug":"a-quantum-computer-controlled-by-superconducting-digital-electronics-at-millikelvin-temperature","status":"publish","type":"post","link":"https:\/\/www.europesays.com\/uk\/818381\/","title":{"rendered":"A quantum computer controlled by superconducting digital electronics at millikelvin temperature"},"content":{"rendered":"<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"1.\">\n<p class=\"c-article-references__text\" id=\"ref-CR1\">Arute, F. et al. Quantum supremacy using a programmable superconducting processor. Nature <b>574<\/b>, 505\u2013510 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41586-019-1666-5\" data-track-item_id=\"10.1038\/s41586-019-1666-5\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41586-019-1666-5\" aria-label=\"Article reference 1\" data-doi=\"10.1038\/s41586-019-1666-5\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 1\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20supremacy%20using%20a%20programmable%20superconducting%20processor&amp;journal=Nature&amp;doi=10.1038%2Fs41586-019-1666-5&amp;volume=574&amp;pages=505-510&amp;publication_year=2019&amp;author=Arute%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"2.\">\n<p class=\"c-article-references__text\" id=\"ref-CR2\">Wu, Y. et al. Strong quantum computational advantage using a superconducting quantum processor. Phys. Rev. Lett. <b>127<\/b>, 180501 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.127.180501\" data-track-item_id=\"10.1103\/PhysRevLett.127.180501\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.127.180501\" aria-label=\"Article reference 2\" data-doi=\"10.1103\/PhysRevLett.127.180501\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 2\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Strong%20quantum%20computational%20advantage%20using%20a%20superconducting%20quantum%20processor&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.127.180501&amp;volume=127&amp;publication_year=2021&amp;author=Wu%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"3.\">\n<p class=\"c-article-references__text\" id=\"ref-CR3\">Morvan, A. et al. Phase transitions in random circuit sampling. Nature <b>634<\/b>, 328\u2013333 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41586-024-07998-6\" data-track-item_id=\"10.1038\/s41586-024-07998-6\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41586-024-07998-6\" aria-label=\"Article reference 3\" data-doi=\"10.1038\/s41586-024-07998-6\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 3\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Phase%20transitions%20in%20random%20circuit%20sampling&amp;journal=Nature&amp;doi=10.1038%2Fs41586-024-07998-6&amp;volume=634&amp;pages=328-333&amp;publication_year=2024&amp;author=Morvan%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"4.\">\n<p class=\"c-article-references__text\" id=\"ref-CR4\">Fowler, A. G., Mariantoni, M., Martinis, J. M. &amp; Cleland, A. N. Surface codes: towards practical large-scale quantum computation. Phys. Rev. A <b>86<\/b>, 032324 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevA.86.032324\" data-track-item_id=\"10.1103\/PhysRevA.86.032324\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevA.86.032324\" aria-label=\"Article reference 4\" data-doi=\"10.1103\/PhysRevA.86.032324\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 4\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Surface%20codes%3A%20towards%20practical%20large-scale%20quantum%20computation&amp;journal=Phys.%20Rev.%20A&amp;doi=10.1103%2FPhysRevA.86.032324&amp;volume=86&amp;publication_year=2012&amp;author=Fowler%2CAG&amp;author=Mariantoni%2CM&amp;author=Martinis%2CJM&amp;author=Cleland%2CAN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"5.\">\n<p class=\"c-article-references__text\" id=\"ref-CR5\">Krinner, S. et al. Engineering cryogenic setups for 100-qubit scale superconducting circuit systems. EPJ Quantum Technol. <a href=\"https:\/\/doi.org\/10.1287\/ijoc.1090.0342\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"10.1287\/ijoc.1090.0342\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.1287\/ijoc.1090.0342<\/a> (2018).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"6.\">\n<p class=\"c-article-references__text\" id=\"ref-CR6\">Yoo, J. et al. 34.2 A 28-nm bulk-CMOS IC for full control of a superconducting quantum processor unit-cell. In Proc. 2023 IEEE International Solid- State Circuits Conference (ISSCC) 506\u2013508 (IEEE, 2023).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"7.\">\n<p class=\"c-article-references__text\" id=\"ref-CR7\">Chakraborty, S. et al. A cryo-CMOS low-power semi-autonomous transmon qubit state controller in 14-nm FinFET technology. IEEE J. Solid-State Circuits <b>57<\/b>, 3258\u20133273 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/JSSC.2022.3201775\" data-track-item_id=\"10.1109\/JSSC.2022.3201775\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2FJSSC.2022.3201775\" aria-label=\"Article reference 7\" data-doi=\"10.1109\/JSSC.2022.3201775\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 7\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20cryo-CMOS%20low-power%20semi-autonomous%20transmon%20qubit%20state%20controller%20in%2014-nm%20FinFET%20technology&amp;journal=IEEE%20J.%20Solid-State%20Circuits&amp;doi=10.1109%2FJSSC.2022.3201775&amp;volume=57&amp;pages=3258-3273&amp;publication_year=2022&amp;author=Chakraborty%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"8.\">\n<p class=\"c-article-references__text\" id=\"ref-CR8\">McDermott, R. et al. Quantum-classical interface based on single flux quantum digital logic. Quantum Sci. Technol. <b>3<\/b>, 024004 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/2058-9565\/aaa3a0\" data-track-item_id=\"10.1088\/2058-9565\/aaa3a0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F2058-9565%2Faaa3a0\" aria-label=\"Article reference 8\" data-doi=\"10.1088\/2058-9565\/aaa3a0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 8\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum-classical%20interface%20based%20on%20single%20flux%20quantum%20digital%20logic&amp;journal=Quantum%20Sci.%20Technol.&amp;doi=10.1088%2F2058-9565%2Faaa3a0&amp;volume=3&amp;publication_year=2018&amp;author=McDermott%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"9.\">\n<p class=\"c-article-references__text\" id=\"ref-CR9\">Polonsky, S. V. et al. New RSFQ circuits (Josephson junction digital devices). IEEE Trans. Appl. Supercond. <b>3<\/b>, 2566\u20132577 (1993).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/77.233530\" data-track-item_id=\"10.1109\/77.233530\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2F77.233530\" aria-label=\"Article reference 9\" data-doi=\"10.1109\/77.233530\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 9\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=New%20RSFQ%20circuits%20%28Josephson%20junction%20digital%20devices%29&amp;journal=IEEE%20Trans.%20Appl.%20Supercond.&amp;doi=10.1109%2F77.233530&amp;volume=3&amp;pages=2566-2577&amp;publication_year=1993&amp;author=Polonsky%2CSV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"10.\">\n<p class=\"c-article-references__text\" id=\"ref-CR10\">Koch, J. et al. Charge-insensitive qubit design derived from the Cooper pair box. Phys. Rev. A <b>76<\/b>, 042319 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevA.76.042319\" data-track-item_id=\"10.1103\/PhysRevA.76.042319\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevA.76.042319\" aria-label=\"Article reference 10\" data-doi=\"10.1103\/PhysRevA.76.042319\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 10\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Charge-insensitive%20qubit%20design%20derived%20from%20the%20Cooper%20pair%20box&amp;journal=Phys.%20Rev.%20A&amp;doi=10.1103%2FPhysRevA.76.042319&amp;volume=76&amp;publication_year=2007&amp;author=Koch%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"11.\">\n<p class=\"c-article-references__text\" id=\"ref-CR11\">McDermott, R. &amp; Vavilov, M. G. Accurate qubit control with single flux quantum pulses. Phys. Rev. Appl. <b>2<\/b>, 014007 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.2.014007\" data-track-item_id=\"10.1103\/PhysRevApplied.2.014007\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.2.014007\" aria-label=\"Article reference 11\" data-doi=\"10.1103\/PhysRevApplied.2.014007\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 11\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Accurate%20qubit%20control%20with%20single%20flux%20quantum%20pulses&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.2.014007&amp;volume=2&amp;publication_year=2014&amp;author=McDermott%2CR&amp;author=Vavilov%2CMG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"12.\">\n<p class=\"c-article-references__text\" id=\"ref-CR12\">McKay, D. C., Wood, C. J., Sheldon, S., Chow, J. M. &amp; Gambetta, J. M. Efficient Z gates for quantum computing. Phys. Rev. A <b>96<\/b>, 022330 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevA.96.022330\" data-track-item_id=\"10.1103\/PhysRevA.96.022330\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevA.96.022330\" aria-label=\"Article reference 12\" data-doi=\"10.1103\/PhysRevA.96.022330\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 12\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Efficient%20Z%20gates%20for%20quantum%20computing&amp;journal=Phys.%20Rev.%20A&amp;doi=10.1103%2FPhysRevA.96.022330&amp;volume=96&amp;publication_year=2017&amp;author=McKay%2CDC&amp;author=Wood%2CCJ&amp;author=Sheldon%2CS&amp;author=Chow%2CJM&amp;author=Gambetta%2CJM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"13.\">\n<p class=\"c-article-references__text\" id=\"ref-CR13\">Leonard, E. et al. Digital coherent control of a superconducting qubit. Phys. Rev. Appl. <b>11<\/b>, 014009 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.11.014009\" data-track-item_id=\"10.1103\/PhysRevApplied.11.014009\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.11.014009\" aria-label=\"Article reference 13\" data-doi=\"10.1103\/PhysRevApplied.11.014009\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 13\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Digital%20coherent%20control%20of%20a%20superconducting%20qubit&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.11.014009&amp;volume=11&amp;publication_year=2019&amp;author=Leonard%2CE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"14.\">\n<p class=\"c-article-references__text\" id=\"ref-CR14\">Liu, C. H. et al. Single flux quantum-based digital control of superconducting qubits in a multichip module. PRX Quantum <b>4<\/b>, 030310 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PRXQuantum.4.030310\" data-track-item_id=\"10.1103\/PRXQuantum.4.030310\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPRXQuantum.4.030310\" aria-label=\"Article reference 14\" data-doi=\"10.1103\/PRXQuantum.4.030310\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 14\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Single%20flux%20quantum-based%20digital%20control%20of%20superconducting%20qubits%20in%20a%20multichip%20module&amp;journal=PRX%20Quantum&amp;doi=10.1103%2FPRXQuantum.4.030310&amp;volume=4&amp;publication_year=2023&amp;author=Liu%2CCH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"15.\">\n<p class=\"c-article-references__text\" id=\"ref-CR15\">Somoroff, A. et al. Fluxonium qubits in a flip-chip package. Phys. Rev. Appl. <b>21<\/b>, 024015 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.21.024015\" data-track-item_id=\"10.1103\/PhysRevApplied.21.024015\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.21.024015\" aria-label=\"Article reference 15\" data-doi=\"10.1103\/PhysRevApplied.21.024015\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 15\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fluxonium%20qubits%20in%20a%20flip-chip%20package&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.21.024015&amp;volume=21&amp;publication_year=2024&amp;author=Somoroff%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"16.\">\n<p class=\"c-article-references__text\" id=\"ref-CR16\">Castellanos-Beltran, M. A. et al. Coherence-limited digital control of a superconducting qubit using a Josephson pulse generator at 3\u2009K. Appl. Phys. Lett. <b>122<\/b>, 192602 (2023).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"17.\">\n<p class=\"c-article-references__text\" id=\"ref-CR17\">Magesan, E. et al. Efficient measurement of quantum gate error by interleaved randomized benchmarking. Phys. Rev. Lett. <b>109<\/b>, 080505 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.109.080505\" data-track-item_id=\"10.1103\/PhysRevLett.109.080505\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.109.080505\" aria-label=\"Article reference 17\" data-doi=\"10.1103\/PhysRevLett.109.080505\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 17\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Efficient%20measurement%20of%20quantum%20gate%20error%20by%20interleaved%20randomized%20benchmarking&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.109.080505&amp;volume=109&amp;publication_year=2012&amp;author=Magesan%2CE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"18.\">\n<p class=\"c-article-references__text\" id=\"ref-CR18\">Liebermann, P. J. &amp; Wilhelm, F. K. Optimal qubit control using single-flux quantum pulses. Phys. Rev. Appl. <b>6<\/b>, 024022 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.6.024022\" data-track-item_id=\"10.1103\/PhysRevApplied.6.024022\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.6.024022\" aria-label=\"Article reference 18\" data-doi=\"10.1103\/PhysRevApplied.6.024022\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 18\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Optimal%20qubit%20control%20using%20single-flux%20quantum%20pulses&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.6.024022&amp;volume=6&amp;publication_year=2016&amp;author=Liebermann%2CPJ&amp;author=Wilhelm%2CFK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"19.\">\n<p class=\"c-article-references__text\" id=\"ref-CR19\">Li, K., McDermott, R. &amp; Vavilov, M. G. Hardware-efficient qubit control with single-flux-quantum pulse sequences. Phys. Rev. Appl. <b>12<\/b>, 014044 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevApplied.12.014044\" data-track-item_id=\"10.1103\/PhysRevApplied.12.014044\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevApplied.12.014044\" aria-label=\"Article reference 19\" data-doi=\"10.1103\/PhysRevApplied.12.014044\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 19\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Hardware-efficient%20qubit%20control%20with%20single-flux-quantum%20pulse%20sequences&amp;journal=Phys.%20Rev.%20Appl.&amp;doi=10.1103%2FPhysRevApplied.12.014044&amp;volume=12&amp;publication_year=2019&amp;author=Li%2CK&amp;author=McDermott%2CR&amp;author=Vavilov%2CMG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"20.\">\n<p class=\"c-article-references__text\" id=\"ref-CR20\">Liu, K. et al. Single-flux-quantum-based qubit control with tunable driving strength. Chin. Phys. B <b>32<\/b>, 128501 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/1674-1056\/acf5d0\" data-track-item_id=\"10.1088\/1674-1056\/acf5d0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F1674-1056%2Facf5d0\" aria-label=\"Article reference 20\" data-doi=\"10.1088\/1674-1056\/acf5d0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 20\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Single-flux-quantum-based%20qubit%20control%20with%20tunable%20driving%20strength&amp;journal=Chin.%20Phys.%20B&amp;doi=10.1088%2F1674-1056%2Facf5d0&amp;volume=32&amp;publication_year=2023&amp;author=Liu%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"21.\">\n<p class=\"c-article-references__text\" id=\"ref-CR21\">Shillito, R., Hopfmueller, F., Kulchytskyy, B. &amp; Ronagh, P. Compact pulse schedules for high-fidelity single-flux quantum qubit control. Phys. Rev. Applied <b>24<\/b>, 014038 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/dtdk-kc2b\" data-track-item_id=\"10.1103\/dtdk-kc2b\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2Fdtdk-kc2b\" aria-label=\"Article reference 21\" data-doi=\"10.1103\/dtdk-kc2b\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 21\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Compact%20pulse%20schedules%20for%20high-fidelity%20single-flux%20quantum%20qubit%20control&amp;journal=Phys.%20Rev.%20Applied&amp;doi=10.1103%2Fdtdk-kc2b&amp;volume=24&amp;publication_year=2025&amp;author=Shillito%2CR&amp;author=Hopfmueller%2CF&amp;author=Kulchytskyy%2CB&amp;author=Ronagh%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"22.\">\n<p class=\"c-article-references__text\" id=\"ref-CR22\">Vozhakov, V., Bastrakova, M., Klenov, N., Satanin, A. &amp; Soloviev, I. Speeding up qubit control with bipolar single-flux-quantum pulse sequences. Quantum Sci. Technol. <b>8<\/b>, 035024 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/2058-9565\/acd9e6\" data-track-item_id=\"10.1088\/2058-9565\/acd9e6\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F2058-9565%2Facd9e6\" aria-label=\"Article reference 22\" data-doi=\"10.1088\/2058-9565\/acd9e6\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 22\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Speeding%20up%20qubit%20control%20with%20bipolar%20single-flux-quantum%20pulse%20sequences&amp;journal=Quantum%20Sci.%20Technol.&amp;doi=10.1088%2F2058-9565%2Facd9e6&amp;volume=8&amp;publication_year=2023&amp;author=Vozhakov%2CV&amp;author=Bastrakova%2CM&amp;author=Klenov%2CN&amp;author=Satanin%2CA&amp;author=Soloviev%2CI\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"23.\">\n<p class=\"c-article-references__text\" id=\"ref-CR23\">Catelani, G., Schoelkopf, R. J., Devoret, M. H. &amp; Glazman, L. I. Relaxation and frequency shifts induced by quasiparticles in superconducting qubits. Phys. Rev. B <b>84<\/b>, 064517 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.84.064517\" data-track-item_id=\"10.1103\/PhysRevB.84.064517\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.84.064517\" aria-label=\"Article reference 23\" data-doi=\"10.1103\/PhysRevB.84.064517\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 23\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Relaxation%20and%20frequency%20shifts%20induced%20by%20quasiparticles%20in%20superconducting%20qubits&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.84.064517&amp;volume=84&amp;publication_year=2011&amp;author=Catelani%2CG&amp;author=Schoelkopf%2CRJ&amp;author=Devoret%2CMH&amp;author=Glazman%2CLI\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"24.\">\n<p class=\"c-article-references__text\" id=\"ref-CR24\">Liu, K. et al. Quasiparticle dynamics in superconducting quantum-classical hybrid circuits. Phys. Rev. B <b>108<\/b>, 064512 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.108.064512\" data-track-item_id=\"10.1103\/PhysRevB.108.064512\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.108.064512\" aria-label=\"Article reference 24\" data-doi=\"10.1103\/PhysRevB.108.064512\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 24\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quasiparticle%20dynamics%20in%20superconducting%20quantum-classical%20hybrid%20circuits&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.108.064512&amp;volume=108&amp;publication_year=2023&amp;author=Liu%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"25.\">\n<p class=\"c-article-references__text\" id=\"ref-CR25\">Gustavsson, S. et al. Suppressing relaxation in superconducting qubits by quasiparticle pumping. Science <b>354<\/b>, 1573\u20131577 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.aah5844\" data-track-item_id=\"10.1126\/science.aah5844\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.aah5844\" aria-label=\"Article reference 25\" data-doi=\"10.1126\/science.aah5844\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 25\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Suppressing%20relaxation%20in%20superconducting%20qubits%20by%20quasiparticle%20pumping&amp;journal=Science&amp;doi=10.1126%2Fscience.aah5844&amp;volume=354&amp;pages=1573-1577&amp;publication_year=2016&amp;author=Gustavsson%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"26.\">\n<p class=\"c-article-references__text\" id=\"ref-CR26\">Iaia, V. et al. Phonon downconversion to suppress correlated errors in superconducting qubits. Nat. Commun. <b>13<\/b>, 6425 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-022-33997-0\" data-track-item_id=\"10.1038\/s41467-022-33997-0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-022-33997-0\" aria-label=\"Article reference 26\" data-doi=\"10.1038\/s41467-022-33997-0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 26\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Phonon%20downconversion%20to%20suppress%20correlated%20errors%20in%20superconducting%20qubits&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-022-33997-0&amp;volume=13&amp;publication_year=2022&amp;author=Iaia%2CV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"27.\">\n<p class=\"c-article-references__text\" id=\"ref-CR27\">McEwen, M. et al. Resisting high-energy impact events through gap engineering in superconducting qubit arrays. Phys. Rev. Lett. <b>133<\/b>, 240601 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.133.240601\" data-track-item_id=\"10.1103\/PhysRevLett.133.240601\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.133.240601\" aria-label=\"Article reference 27\" data-doi=\"10.1103\/PhysRevLett.133.240601\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 27\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Resisting%20high-energy%20impact%20events%20through%20gap%20engineering%20in%20superconducting%20qubit%20arrays&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.133.240601&amp;volume=133&amp;publication_year=2024&amp;author=McEwen%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"28.\">\n<p class=\"c-article-references__text\" id=\"ref-CR28\">Liu, C. H. et al. Quasiparticle poisoning of superconducting qubits from resonant absorption of pair-breaking photons. Phys. Rev. Lett. <b>132<\/b>, 017001 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.132.017001\" data-track-item_id=\"10.1103\/PhysRevLett.132.017001\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.132.017001\" aria-label=\"Article reference 28\" data-doi=\"10.1103\/PhysRevLett.132.017001\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 28\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quasiparticle%20poisoning%20of%20superconducting%20qubits%20from%20resonant%20absorption%20of%20pair-breaking%20photons&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.132.017001&amp;volume=132&amp;publication_year=2024&amp;author=Liu%2CCH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"29.\">\n<p class=\"c-article-references__text\" id=\"ref-CR29\">Kosen, S. et al. Signal crosstalk in a flip-chip quantum processor. PRX Quantum <b>5<\/b>, 030350 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PRXQuantum.5.030350\" data-track-item_id=\"10.1103\/PRXQuantum.5.030350\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPRXQuantum.5.030350\" aria-label=\"Article reference 29\" data-doi=\"10.1103\/PRXQuantum.5.030350\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 29\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Signal%20crosstalk%20in%20a%20flip-chip%20quantum%20processor&amp;journal=PRX%20Quantum&amp;doi=10.1103%2FPRXQuantum.5.030350&amp;volume=5&amp;publication_year=2024&amp;author=Kosen%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"30.\">\n<p class=\"c-article-references__text\" id=\"ref-CR30\">Levine, H. et al. Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons. Phys. Rev. X <b>14<\/b>, 011051 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 30\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Demonstrating%20a%20long-coherence%20dual-rail%20erasure%20qubit%20using%20tunable%20transmons&amp;journal=Phys.%20Rev.%20X&amp;volume=14&amp;publication_year=2024&amp;author=Levine%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"31.\">\n<p class=\"c-article-references__text\" id=\"ref-CR31\">Feng, G. et al. Estimating the coherence of noise in quantum control of a solid-state qubit. Phys. Rev. Lett. <b>117<\/b>, 260501 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.117.260501\" data-track-item_id=\"10.1103\/PhysRevLett.117.260501\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.117.260501\" aria-label=\"Article reference 31\" data-doi=\"10.1103\/PhysRevLett.117.260501\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 31\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Estimating%20the%20coherence%20of%20noise%20in%20quantum%20control%20of%20a%20solid-state%20qubit&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.117.260501&amp;volume=117&amp;publication_year=2016&amp;author=Feng%2CG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"32.\">\n<p class=\"c-article-references__text\" id=\"ref-CR32\">Kirichenko, A. F. et al. System and method of flux bias for superconducting quantum circuits. US patent 12,087,503 \u04122 (2024).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"33.\">\n<p class=\"c-article-references__text\" id=\"ref-CR33\">Acharya, R. et al. Multiplexed superconducting qubit control at millikelvin temperatures with a low-power cryo-CMOS multiplexer. Nat. Electron. <b>6<\/b>, 900\u2013909 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41928-023-01033-8\" data-track-item_id=\"10.1038\/s41928-023-01033-8\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41928-023-01033-8\" aria-label=\"Article reference 33\" data-doi=\"10.1038\/s41928-023-01033-8\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 33\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Multiplexed%20superconducting%20qubit%20control%20at%20millikelvin%20temperatures%20with%20a%20low-power%20cryo-CMOS%20multiplexer&amp;journal=Nat.%20Electron.&amp;doi=10.1038%2Fs41928-023-01033-8&amp;volume=6&amp;pages=900-909&amp;publication_year=2023&amp;author=Acharya%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"34.\">\n<p class=\"c-article-references__text\" id=\"ref-CR34\">Likharev, K. K. &amp; Semenov, V. K. RSFQ logic\/memory family: a new Josephson-junction technology for sub-terahertz-clock-frequency digital systems. IEEE Trans. Appl. Supercond. <b>1<\/b>, 3\u201328 (1991).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/77.80745\" data-track-item_id=\"10.1109\/77.80745\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2F77.80745\" aria-label=\"Article reference 34\" data-doi=\"10.1109\/77.80745\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 34\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=RSFQ%20logic%2Fmemory%20family%3A%20a%20new%20Josephson-junction%20technology%20for%20sub-terahertz-clock-frequency%20digital%20systems&amp;journal=IEEE%20Trans.%20Appl.%20Supercond.&amp;doi=10.1109%2F77.80745&amp;volume=1&amp;pages=3-28&amp;publication_year=1991&amp;author=Likharev%2CKK&amp;author=Semenov%2CVK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"35.\">\n<p class=\"c-article-references__text\" id=\"ref-CR35\">Kirichenko, D. E., Sarwana, S. &amp; Kirichenko, A. F. Zero static power dissipation biasing of RSFQ circuits. IEEE Trans. Appl. Supercond. <b>21<\/b>, 776\u2013779 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/TASC.2010.2098432\" data-track-item_id=\"10.1109\/TASC.2010.2098432\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2FTASC.2010.2098432\" aria-label=\"Article reference 35\" data-doi=\"10.1109\/TASC.2010.2098432\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 35\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Zero%20static%20power%20dissipation%20biasing%20of%20RSFQ%20circuits&amp;journal=IEEE%20Trans.%20Appl.%20Supercond.&amp;doi=10.1109%2FTASC.2010.2098432&amp;volume=21&amp;pages=776-779&amp;publication_year=2011&amp;author=Kirichenko%2CDE&amp;author=Sarwana%2CS&amp;author=Kirichenko%2CAF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"36.\">\n<p class=\"c-article-references__text\" id=\"ref-CR36\">Kaplan, S. B. &amp; Mukhanov, O. A. Operation of a superconductive demultiplexer using rapid single flux quantum (RSFQ) technology. IEEE Trans. Appl. Supercond. <b>5<\/b>, 2853\u20132856 (1995).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1109\/77.403186\" data-track-item_id=\"10.1109\/77.403186\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1109%2F77.403186\" aria-label=\"Article reference 36\" data-doi=\"10.1109\/77.403186\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 36\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Operation%20of%20a%20superconductive%20demultiplexer%20using%20rapid%20single%20flux%20quantum%20%28RSFQ%29%20technology&amp;journal=IEEE%20Trans.%20Appl.%20Supercond.&amp;doi=10.1109%2F77.403186&amp;volume=5&amp;pages=2853-2856&amp;publication_year=1995&amp;author=Kaplan%2CSB&amp;author=Mukhanov%2COA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"37.\">\n<p class=\"c-article-references__text\" id=\"ref-CR37\">Chip Foundry. SEEQC <a href=\"https:\/\/seeqc.com\/foundry-services\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"https:\/\/seeqc.com\/foundry-services\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/seeqc.com\/foundry-services<\/a> (2026).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"38.\">\n<p class=\"c-article-references__text\" id=\"ref-CR38\">Johansson, J. R., Nation, P. D. &amp; Nori, F. QuTiP 2: a Python framework for the dynamics of open quantum systems. Comput. Phys. Commun. <b>184<\/b>, 1234\u20131240 (2013).<\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"39.\">\n<p class=\"c-article-references__text\" id=\"ref-CR39\">Pedersen, L. H., M\u00f8ller, N. M. &amp; M\u00f8lmer, K. Fidelity of quantum operations. Phys. Lett. A <b>367<\/b>, 47\u201351 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.physleta.2007.02.069\" data-track-item_id=\"10.1016\/j.physleta.2007.02.069\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.physleta.2007.02.069\" aria-label=\"Article reference 39\" data-doi=\"10.1016\/j.physleta.2007.02.069\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2320870\" aria-label=\"MathSciNet reference 39\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 39\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fidelity%20of%20quantum%20operations&amp;journal=Phys.%20Lett.%20A&amp;doi=10.1016%2Fj.physleta.2007.02.069&amp;volume=367&amp;pages=47-51&amp;publication_year=2007&amp;author=Pedersen%2CLH&amp;author=M%C3%B8ller%2CNM&amp;author=M%C3%B8lmer%2CK\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n<li class=\"c-article-references__item js-c-reading-companion-references-item\" data-counter=\"40.\">\n<p class=\"c-article-references__text\" id=\"ref-CR40\">Wood, C. J. &amp; Gambetta, J. M. Quantification and characterization of leakage errors. Phys. Rev. A <b>97<\/b>, 032306 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevA.97.032306\" data-track-item_id=\"10.1103\/PhysRevA.97.032306\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevA.97.032306\" aria-label=\"Article reference 40\" data-doi=\"10.1103\/PhysRevA.97.032306\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 40\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantification%20and%20characterization%20of%20leakage%20errors&amp;journal=Phys.%20Rev.%20A&amp;doi=10.1103%2FPhysRevA.97.032306&amp;volume=97&amp;publication_year=2018&amp;author=Wood%2CCJ&amp;author=Gambetta%2CJM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<\/li>\n","protected":false},"excerpt":{"rendered":"Arute, F. et al. Quantum supremacy using a programmable superconducting processor. Nature 574, 505\u2013510 (2019). Article\u00a0 Google Scholar\u00a0&hellip;\n","protected":false},"author":2,"featured_media":818382,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_share_on_mastodon":"0"},"categories":[3845],"tags":[12788,12789,74,7030,70,16,15],"class_list":["post-818381","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-electrical-and-electronic-engineering","tag-electrical-engineering","tag-physics","tag-quantum-information","tag-science","tag-uk","tag-united-kingdom"],"share_on_mastodon":{"url":"https:\/\/pubeurope.com\/@uk\/116209330797756563","error":""},"_links":{"self":[{"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/posts\/818381","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/comments?post=818381"}],"version-history":[{"count":0,"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/posts\/818381\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/media\/818382"}],"wp:attachment":[{"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/media?parent=818381"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/categories?post=818381"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.europesays.com\/uk\/wp-json\/wp\/v2\/tags?post=818381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}