https://doi.org/10.1140/epjp/s13360-024-05316-7
Regular Article
Geometric coherence of some mixed states
1
School of Science, Beijing Information Science and Technology University, 102206, Beijing, People’s Republic of China
2
School of Science, Hangzhou Dianzi University, 310018, Hangzhou, People’s Republic of China
3
School of Computer and Computing Science, Hangzhou City University, 310015, Hangzhou, People’s Republic of China
Received:
2
April
2024
Accepted:
27
May
2024
Published online:
14
June
2024
Geometric coherence is a crucial coherence measure both geometrically and operationally. Here we delve into the geometric coherence of mixed states. To be more precise, we compute the geometric coherence and reveal the corresponding nearest incoherent states for a range of mixed states. These include general mixed states in qubit systems, block diagonal states and two other types of mixed states in high-dimensional systems. As practical applications, we explore the ambiguous state discrimination of pure-state ensembles, which are induced by these quantum states.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
