Quantifying entanglement in terms of an operational way

doi:10.1088/1674-1056/abc157

Abstract We establish entanglement monotones in terms of an operational approach, which is closely connected with the state conversion from pure states to the objective state by the local operations and classical communications. It is shown that any good entanglement quantifier defined on pure states can induce an entanglement monotone for all density matrices. Particularly, we show that our entanglement monotone is the maximal one among all those having the same form for pure states. In some special cases, our proposed entanglement monotones turn to be equivalent to the convex roof construction, which hence gain an operational meaning. Some examples are given to demonstrate different cases.

Keywords: quantum entanglement entanglement measure quantum resource theory

Received: 15 August 2020
Revised: 14 September 2020
Accepted manuscript online: 15 October 2020

PACS:	03.67.-a	(Quantum information)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	03.67.Hk	(Quantum communication)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11775040, 12011530014 and 11375036) and the Fundamental Research Funds for the Central Universities.China (Grant No. DUT20LAB203).

Corresponding Authors: ^†Corresponding author. E-mail: ycs@dlut.edu.cn

Cite this article:

Deng-Hui Yu(于登辉) and Chang-Shui Yu(于长水) Quantifying entanglement in terms of an operational way 2021 Chin. Phys. B 30 020302

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