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Skew information-based coherence generating power of quantum channels

  • 01-07-2022
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Abstract

The article delves into the quantification of quantum coherence, a fundamental aspect of quantum systems. It discusses the historical context of coherence measures and the recent advancements in quantifying coherence using various distance measures. The focus is on the coherence generating power (CGP) of quantum channels, which is defined as the average coherence generated by a channel acting on a uniform ensemble of incoherent states. The paper introduces the skew information-based coherence measure and derives explicit analytical formulae for the CGP of unitary channels. It also explores the mean value and typicality of the CGP for random unitary channels and presents an upper bound for mixed unitary channels. The results are supported by detailed examples and comparisons with previous studies, offering a comprehensive understanding of coherence generating power in quantum channels.

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Title
Skew information-based coherence generating power of quantum channels
Authors
Zhaoqi Wu
Lin Zhang
Shao-Ming Fei
Jianhui Wang
Publication date
01-07-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03580-z
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