Coherence measures based on sandwiched Rényi relative entropy

doi:10.1088/1674-1056/ab5930

Abstract Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory. Baumgratz, Cramer and Plenio established a rigorous framework (BCP framework) for quantifying coherence[Baumgratz T, Cramer M and Plenio M B Phys. Rev. Lett. 113 140401 (2014)]. In the present paper, under the BCP framework we provide two classes of coherence measures based on the sandwiched Rényi relative entropy. We also prove that we cannot get a new coherence measure f(C(·)) by a function f acting on a given coherence measure C.

Keywords: quantum coherence coherence measure sandwiched Rényi relative entropy

Received: 19 July 2019
Revised: 20 November 2019
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	03.65.Aa	(Quantum systems with finite Hilbert space)

Fund: Project supported by the China Scholarship Council (Grant No. 201806305050).

Corresponding Authors: Jianwei Xu
E-mail: xxujianwei@nwafu.edu.cn

Cite this article:

Jianwei Xu(胥建卫) Coherence measures based on sandwiched Rényi relative entropy 2020 Chin. Phys. B 29 010301

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