Entanglement properties of GHZ and W superposition state and its decayed states

doi:10.1088/1674-1056/abd74e

Abstract We use the generalized Wootters formula, the positive partial transpose (PPT) criterion and the matched entanglement witness, to detect entanglement of three-qubit GHZ and W superposition state and its decayed states. It shows that the results of the generalized Wootters formula in the part near the W state are tight. In the other parts, the PPT criterion is superior to the generalized Wootters formula. Furthermore, we investigate the relationship between entanglement and coherence.

Keywords: quantum entanglement Wootters formula matched entanglement witness coherence

Received: 26 September 2020
Revised: 23 November 2020
Accepted manuscript online: 30 December 2020

PACS:	03.65.Aa	(Quantum systems with finite Hilbert space)
	03.67.-a	(Quantum information)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61871347).

Corresponding Authors: Xiao-Yu Chen
E-mail: xychen@zjgsu.edu.cn

Cite this article:

Xin-Feng Jin(金鑫锋), Li-Zhen Jiang(蒋丽珍), and Xiao-Yu Chen(陈小余) Entanglement properties of GHZ and W superposition state and its decayed states 2021 Chin. Phys. B 30 060301

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Entanglement properties of GHZ and W superposition state and its decayed states

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