{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:39:52Z","timestamp":1760236792981,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2021,12,23]],"date-time":"2021-12-23T00:00:00Z","timestamp":1640217600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We investigate the discrimination of pure-mixed (quantum filtering) and mixed-mixed states and compare their optimal success probability with the one for discriminating other pairs of pure states superposed by the vectors included in the mixed states. We prove that under the equal-fidelity condition, the pure-pure state discrimination scheme is superior to the pure-mixed (mixed-mixed) one. With respect to quantum filtering, the coherence exists only in one pure state and is detrimental to the state discrimination for lower dimensional systems; while it is the opposite for the mixed-mixed case with symmetrically distributed coherence. Making an extension to infinite-dimensional systems, we find that the coherence which is detrimental to state discrimination may become helpful and vice versa.<\/jats:p>","DOI":"10.3390\/e24010018","type":"journal-article","created":{"date-parts":[[2021,12,23]],"date-time":"2021-12-23T10:16:18Z","timestamp":1640254578000},"page":"18","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Unambiguous State Discrimination with Intrinsic Coherence"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1968-900X","authenticated-orcid":false,"given":"Jin-Hua","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Physics, Xinzhou Teacher\u2019s University, Xinzhou 034000, China"}]},{"given":"Fu-Lin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Physics, School of Science, Tianjin University, Tianjin 300072, China"}]},{"given":"Zhi-Xi","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"}]},{"given":"Hui","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Physics, Xinzhou Teacher\u2019s University, Xinzhou 034000, China"}]},{"given":"Shao-Ming","family":"Fei","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"},{"name":"Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"042313","DOI":"10.1103\/PhysRevA.66.042313","article-title":"Unambiguous state discrimination of coherent states with linear optics: Application to quantum cryptography","volume":"66","year":"2002","journal-title":"Phys. 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