{"id":106954,"date":"2020-05-12T08:42:33","date_gmt":"2020-05-12T15:42:33","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2020\/05\/error-transparent-operations-on-a-logical-qubit-protected-by-quantum-error-correction"},"modified":"2020-05-12T08:42:33","modified_gmt":"2020-05-12T15:42:33","slug":"error-transparent-operations-on-a-logical-qubit-protected-by-quantum-error-correction","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2020\/05\/error-transparent-operations-on-a-logical-qubit-protected-by-quantum-error-correction","title":{"rendered":"Error-transparent operations on a logical qubit protected by quantum error correction"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/error-transparent-operations-on-a-logical-qubit-protected-by-quantum-error-correction.jpg\"><\/a><\/p>\n<p>Universal quantum computation<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 1\" title=\"Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information (Cambridge Univ. Press, 2000)\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR1\" id=\"ref-link-section-d83879e386\">1<\/a><\/sup> is striking for its unprecedented capability in processing information, but its scalability is challenging in practice because of the inevitable environment noise. Although quantum error correction (QEC) techniques<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Chiaverini, J. et al. Realization of quantum error correction. Nature 432, 602&ndash;605 (2004).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR2\" id=\"ref-link-section-d83879e390\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Schindler, P. et al. Experimental repetitive quantum error correction. Science 332, 1059&ndash;1061 (2011).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR3\" id=\"ref-link-section-d83879e390_1\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Reed, M. D. et al. Realization of three-qubit quantum error correction with superconducting circuits. Nature 482, 382&ndash;385 (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR4\" id=\"ref-link-section-d83879e390_2\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Yao, X.-C. et al. Experimental demonstration of topological error correction. Nature 482, 489&ndash;494 (2012).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR5\" id=\"ref-link-section-d83879e390_3\">5<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Waldherr, G. et al. Quantum error correction in a solid-state hybrid spin register. Nature 506, 204&ndash;207 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR6\" id=\"ref-link-section-d83879e390_4\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Nigg, D. et al. Quantum computations on a topologically encoded qubit. Science 345, 302&ndash;305 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR7\" id=\"ref-link-section-d83879e390_5\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 8\" title=\"Kelly, J. et al. State preservation by repetitive error detection in a superconducting quantum circuit. Nature 519, 66&ndash;69 (2015).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR8\" id=\"ref-link-section-d83879e393\">8<\/a><\/sup> have been developed to protect stored quantum information from leading orders of error, the noise-resilient processing of the QEC-protected quantum information is highly demanded but remains elusive<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 9\" title=\"Campbell, E. T., Terhal, B. M. & Vuillot, C. Roads towards fault-tolerant universal quantum computation. Nature 549, 172&ndash;179 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR9\" id=\"ref-link-section-d83879e397\">9<\/a><\/sup>. Here, we demonstrate phase gate operations on a logical qubit encoded in a bosonic oscillator in an error-transparent (ET) manner. Inspired by refs. <sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 10\" title=\"Vy, O., Wang, X. & Jacobs, K. Error-transparent evolution: the ability of multi-body interactions to bypass decoherence. New J. Phys. 15, 053002 (2013).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR10\" id=\"ref-link-section-d83879e401\">10<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 11\" title=\"Kapit, E. Error-transparent quantum gates for small logical qubit architectures. Phys. Rev. Lett. 120, 050503 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41567-020-0893-x#ref-CR11\" id=\"ref-link-section-d83879e404\">11<\/a><\/sup>, the ET gates are extended to the bosonic code and are able to tolerate errors on the logical qubit during gate operations, regardless of the random occurrence time of the error. With precisely designed gate Hamiltonians through photon-number-resolved a.c. Stark shifts, the ET condition is fulfilled experimentally. We verify that the ET gates outperform the non-ET gates with a substantial improvement of gate fidelity after an occurrence of the single-photon-loss error. Our ET gates in superconducting quantum circuits can be readily extended to multiple encoded qubits and a universal gate set is within reach, holding the potential for reliable quantum information processing.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Universal quantum computation1 is striking for its unprecedented capability in processing information, but its scalability is challenging in practice because of the inevitable environment noise. Although quantum error correction (QEC) techniques2,3,4,5,6,7,8 have been developed to protect stored quantum information from leading orders of error, the noise-resilient processing of the QEC-protected quantum information is highly demanded [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1617],"tags":[],"class_list":["post-106954","post","type-post","status-publish","format-standard","hentry","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/106954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=106954"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/106954\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=106954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=106954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=106954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}