Quantifying quantum coherence based on the Tsallis relative operator entropy

• URL: http://arxiv.org/abs/2010.11707v1
• Date: Thu, 22 Oct 2020 13:30:53 GMT
• Title: Quantifying quantum coherence based on the Tsallis relative operator entropy
• Authors: Meng-Li Guo, Zhi-Xiang Jin, Bo Li, Bin Hu and Shao-Ming Fei
• Abstract summary: We present a family of coherence quantifiers based on the Tsallis relative operator entropy. These quantifiers are shown to satisfy all the standard criteria for a well-defined measure of coherence.
• Score: 7.582845136495998
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Coherence is a fundamental ingredient in quantum physics and a key resource in quantum information processing. The quantification of quantum coherence is of great importance. We present a family of coherence quantifiers based on the Tsallis relative operator entropy. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Appl. 381 (2004) 219] are extended in terms of the parameter of the Tsallis relative operator entropy. These quantifiers are shown to satisfy all the standard criteria for a well-defined measure of coherence and include some existing coherence measures as special cases. Detailed examples are given to show the relations among the measures of quantum coherence.

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