The principle of minimal change requires that an update incorporate new data while remaining as close as possible to the prior. In the classical setting, this requirement uniquely determines Bayes\u2019 rule. In this talk, I present a quantum formulation of the same principle and derive its unique closed\u2011form solution, which can be regarded as a quantum version of Bayes\u2019 rule. I discuss its connection with Petz\u2019s transpose map and show how it can be applied to the retrodiction of quantum measurements. This retrodictive approach leads to new entropic uncertainty relations that are often stronger than existing ones and that also come with an intriguing operational interpretation. This work is based on:<\/p>\n\n\n\n
The principle of minimal change requires that an update incorporate new data while remaining as close as possible to the prior. In the classical setting, this requirement uniquely determines Bayes\u2019 rule. In this talk, I present a quantum formulation of the same principle and derive its unique closed\u2011form solution, which can be regarded as a […]<\/p>\n","protected":false},"author":3246,"featured_media":0,"template":"","class_list":["post-2537","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/2537","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\/3246"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=2537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
1. G. Bai, F. Buscemi, and V. Scarani; PRL 135, 090203 (2025). https:\/\/arxiv.org\/abs\/2410.00319<\/a>
2. T. Nagasawa, E. Wakakuwa, K. Kato, and F. Buscemi; ROPP 88, 117601 (2025). https:\/\/arxiv.org\/abs\/2504.12738<\/a>
3. J. Kuang, K. Torii, and Francesco Buscemi: Quantum measurement retrodiction and entropic uncertainty relations. https:\/\/arxiv.org\/abs\/2511.20281<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"