{"id":2277,"date":"2024-07-01T12:30:03","date_gmt":"2024-07-01T10:30:03","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/?post_type=seminar&#038;p=2277"},"modified":"2024-07-01T12:30:03","modified_gmt":"2024-07-01T10:30:03","slug":"deterministic-and-exact-protocols-for-unitary-inversion-go-and-no-go-results","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/deterministic-and-exact-protocols-for-unitary-inversion-go-and-no-go-results\/","title":{"rendered":"Deterministic and exact protocols for unitary inversion: Go and no-go results"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">I review our previous work on deterministic and exact protocol for qubit-unitary inversion [1], which is extended to a general dimension in [2]. The deterministic and exact unitary inversion protocol requires 4 calls of the input unitary operation for the qubit case and O(d^2) calls for the general qudit case. I also show our recent work on an analytical lower bound of the query complexity for deterministic and exact transformations of unitary operation [3], which shows a lower bound of d^2 for unitary inversion.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">References:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[1] S. Yoshida, A. Soeda and M. Murao, Phys. Rev. Lett. 131, 120602 (2023), arXiv:2209.02907.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[2] Y.-A. Chen, Y. Mo, Y. Liu, L. Zhang and X. Wang, arXiv:2403.04704.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[3] T. Odake, S. Yoshida and M. Murao, arXiv:2405.07625.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I review our previous work on deterministic and exact protocol for qubit-unitary inversion [1], which is extended to a general dimension in [2]. The deterministic and exact unitary inversion protocol requires 4 calls of the input unitary operation for the qubit case and O(d^2) calls for the general qudit case. I also show our recent [&hellip;]<\/p>\n","protected":false},"author":2883,"featured_media":0,"template":"","class_list":["post-2277","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/2277","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/types\/seminar"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/users\/2883"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=2277"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}