{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T16:23:06Z","timestamp":1764433386980,"version":"build-2065373602"},"reference-count":67,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T00:00:00Z","timestamp":1609891200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Universidad Mayor, Chile","award":["PEP I-2019020"],"award-info":[{"award-number":["PEP I-2019020"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We studied the mutual information and quantum discord that Alice and Bob share when Bob implements a discrimination with a fixed rate of inconclusive outcomes (FRIO) onto two pure non-orthogonal quantum states, generated with arbitrary a priori probabilities. FRIO discrimination interpolates between minimum error (ME) and unambiguous state discrimination (UD). ME and UD are well known discrimination protocols with several applications in quantum information theory. FRIO discrimination provides a more general framework where the discrimination process together with its applications can be studied. In this setting, we compared the performance of optimum probability of discrimination, mutual information, and quantum discord. We found that the accessible information is obtained when Bob implements the ME strategy. The most (least) efficient discrimination scheme is ME (UD), from the point of view of correlations that are lost in the initial state and remain in the final state, after Bob\u2019s measurement.<\/jats:p>","DOI":"10.3390\/e23010073","type":"journal-article","created":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T09:15:16Z","timestamp":1609924516000},"page":"73","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes"],"prefix":"10.3390","volume":"23","author":[{"given":"Omar","family":"Jim\u00e9nez","sequence":"first","affiliation":[{"name":"Centro de \u00d3ptica e Informaci\u00f3n Cu\u00e1ntica, Facultad de Ciencias, Universidad Mayor, Camino La Pir\u00e1mide N\u00b05750, Huechuraba 8580745, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2856-441X","authenticated-orcid":false,"given":"Miguel Angel","family":"Sol\u00eds\u2013Prosser","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias F\u00edsicas, Universidad de La Frontera, Temuco 4811230, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9589-1939","authenticated-orcid":false,"given":"Leonardo","family":"Neves","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Federal de Minas Gerais, Belo Horizonte 31270-901, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aldo","family":"Delgado","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidad de Concepci\u00f3n, P.O. BOX 160-C, Concepci\u00f3n 4070043, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"6899","DOI":"10.1088\/0305-4470\/34\/35\/315","article-title":"Classical, quantum and total correlations","volume":"34","author":"Herderson","year":"2001","journal-title":"J. Phys. A Math. Gen."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"017901","DOI":"10.1103\/PhysRevLett.88.017901","article-title":"Quantum Discord: A Measure of the Quantumness of Correlations","volume":"88","author":"Ollivier","year":"2001","journal-title":"Phys. Rev. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1038\/nphys2376","article-title":"Observing the operational significance of discord consumption","volume":"8","author":"Gu","year":"2012","journal-title":"Nat. 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