{"id":113961,"date":"2020-10-06T15:24:54","date_gmt":"2020-10-06T22:24:54","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2020\/10\/verified-quantum-information-scrambling"},"modified":"2020-10-06T15:24:54","modified_gmt":"2020-10-06T22:24:54","slug":"verified-quantum-information-scrambling","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2020\/10\/verified-quantum-information-scrambling","title":{"rendered":"Verified quantum information scrambling"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/verified-quantum-information-scrambling.jpg\"><\/a><\/p>\n<p>Circa 2019<\/p>\n<hr>\n<p>Quantum scrambling is the dispersal of local information into many-body quantum entanglements and correlations distributed throughout an entire system. This concept accompanies the dynamics of thermalization in closed quantum systems, and has recently emerged as a powerful tool for characterizing chaos in black holes<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Hayden, P. & Preskill, J. Black holes as mirrors: quantum information in random subsystems. J. High Energy Phys. 2007, 120 (2007).\" href=\"https:\/\/www.nature.com\/articles\/s41586-019-0952-6?platform=hootsuite#ref-CR1\" id=\"ref-link-section-d65338e458\">1<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Kitaev, A. A simple model of quantum holography. http:\/\/online.kitp.ucsb.edu\/online\/entangled15\/kitaev\/ (2015).\" href=\"https:\/\/www.nature.com\/articles\/s41586-019-0952-6?platform=hootsuite#ref-CR2\" id=\"ref-link-section-d65338e458_1\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Shenker, S. H. & Stanford, D. Black holes and the butterfly effect. J. High Energy Phys. 2014, 67 (2014).\" href=\"https:\/\/www.nature.com\/articles\/s41586-019-0952-6?platform=hootsuite#ref-CR3\" id=\"ref-link-section-d65338e458_2\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 4\" title=\"Maldacena, J., Shenker, S. H. & Stanford, D. A bound on chaos. J. High Energy Phys. 2016, 106 (2016).\" href=\"https:\/\/www.nature.com\/articles\/s41586-019-0952-6#ref-CR4\" id=\"ref-link-section-d65338e461\">4<\/a><\/sup>. However, the direct experimental measurement of quantum scrambling is difficult, owing to the exponential complexity of ergodic many-body entangled states. One way to characterize quantum scrambling is to measure an out-of-time-ordered correlation function (OTOC); however, because scrambling leads to their decay, OTOCs do not generally discriminate between quantum scrambling and ordinary decoherence. Here we implement a quantum circuit that provides a positive test for the scrambling features of a given unitary process<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Yoshida, B. & Kitaev, A. Efficient decoding for the Hayden-Preskill protocol. Preprint at http:\/\/arxiv.org\/abs\/1710.03363 (2017).\" href=\"https:\/\/www.nature.com\/articles\/s41586-019-0952-6#ref-CR5\" id=\"ref-link-section-d65338e465\">5<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 6\" title=\"Yoshida, B. & Yao, N. Y. Disentangling scrambling and decoherence via quantum teleportation. Phys. Rev. X 9, 011006 (2018).\" href=\"https:\/\/www.nature.com\/articles\/s41586-019-0952-6#ref-CR6\" id=\"ref-link-section-d65338e468\">6<\/a><\/sup>. This approach conditionally teleports a quantum state through the circuit, providing an unambiguous test for whether scrambling has occurred, while simultaneously measuring an OTOC. We engineer quantum scrambling processes through a tunable three-qubit unitary operation as part of a seven-qubit circuit on an ion trap quantum computer. Measured teleportation fidelities are typically about 80 per cent, and enable us to experimentally bound the scrambling-induced decay of the corresponding OTOC measurement.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Circa 2019 Quantum scrambling is the dispersal of local information into many-body quantum entanglements and correlations distributed throughout an entire system. This concept accompanies the dynamics of thermalization in closed quantum systems, and has recently emerged as a powerful tool for characterizing chaos in black holes1,2,3,4. However, the direct experimental measurement of quantum scrambling is [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1523,1617],"tags":[],"class_list":["post-113961","post","type-post","status-publish","format-standard","hentry","category-computing","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/113961","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=113961"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/113961\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=113961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=113961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=113961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}