期刊
PHYSICAL REVIEW A
卷 93, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.93.012110
关键词
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资金
- John Templeton Foundation
- EU [339106, 641122, 600645]
- Spanish MINECO grant [FIS2013-46768-P]
- Severo Ochoa Programme [SEV-2015-0522]
- Generalitat de Catalunya Grant [SGR 874]
- ICREA Funding Source: Custom
We show that trace distance measure of coherence is a strong monotone for all qubit and, so called, X states. An expression for the trace distance coherence for all pure states and a semidefinite program for arbitrary states is provided. We also explore the relation between l(1)-norm and relative entropy based measures of coherence, and give a sharp inequality connecting the two. In addition, it is shown that both l(p)-norm- and Schatten-p-norm-based measures violate the (strong) monotonicity for all p is an element of (1, infinity).
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