Decay of N-qubit GHZ states in Pauli channels

doi:10.1088/1674-1056/24/8/080303

Abstract An N-qubit Greenberger–Horne–Zeilinger (GHZ) state has many applications in various quantum information tasks and can be realized in different experimental schemes. A GHZ diagonal state evolves to another GHZ diagonal state in independent parallel Pauli channels. We give the explicit expression of the resultant GHZ diagonal state in terms of the initial state and channel parameters. If the initial state is a pure N qubit GHZ state or a three-qubit GHZ diagonal state admits a condition, the full separability criterion of the Pauli noisy state is equivalent to positive partial transpose (PPT) criterion. Thus the fully separable condition follows.

Keywords: full separability GHZ state Pauli noise

Received: 22 September 2014
Revised: 19 March 2015
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11375152).

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

Cite this article:

Chen Xiao-Yu (陈小余), Wang Ting-Ting (王婷婷) Decay of N-qubit GHZ states in Pauli channels 2015 Chin. Phys. B 24 080303

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