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Average versus maximal coherence
Luo, Shunlong1,2; Sun, Yuan1,2
Source PublicationPHYSICS LETTERS A
AbstractCoherence is a fundamental feature of quantum mechanics and plays a crucial role in the quantum realm. The issue of quantification of coherence has received considerable interests in recent years, and a variety of coherence quantifiers have been introduced. With these measures, one can investigate coherence in a more quantitative way. Based on the Wigner-Yanase skew information, we evaluate average coherence of a state with respect to arbitrary mutually unbiased bases as well as with respect to all orthonormal bases, and demonstrate their equivalence. We further evaluate the maximum coherence, and reveal a remarkable fact that in high dimensions, the coherence of a generic state is nearly maximal with respect to almost all reference bases. A similar concentration phenomenon also manifests itself when the coherence is quantified by the relative entropy of coherence. This observation concerning the almost equivalence between the average coherence and the maximal coherence for generic states may have theoretical implications for quantum information and quantum thermodynamics. (C) 2019 Elsevier B.V. All rights reserved.
KeywordWigner-Yanase skew information Average coherence Maximal coherence Relative entropy of coherence
Funding ProjectNational Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152151]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000482521800007
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Document Type期刊论文
Corresponding AuthorLuo, Shunlong
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Luo, Shunlong,Sun, Yuan. Average versus maximal coherence[J]. PHYSICS LETTERS A,2019,383(24):2869-2873.
APA Luo, Shunlong,&Sun, Yuan.(2019).Average versus maximal coherence.PHYSICS LETTERS A,383(24),2869-2873.
MLA Luo, Shunlong,et al."Average versus maximal coherence".PHYSICS LETTERS A 383.24(2019):2869-2873.
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