中国物理B ›› 2015, Vol. 24 ›› Issue (8): 80303-080303.doi: 10.1088/1674-1056/24/8/080303

• GENERAL • 上一篇    下一篇

Decay of N-qubit GHZ states in Pauli channels

陈小余, 王婷婷   

  1. College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China
  • 收稿日期:2014-09-22 修回日期:2015-03-19 出版日期:2015-08-05 发布日期:2015-08-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11375152).

Decay of N-qubit GHZ states in Pauli channels

Chen Xiao-Yu (陈小余), Wang Ting-Ting (王婷婷)   

  1. College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China
  • Received:2014-09-22 Revised:2015-03-19 Online:2015-08-05 Published:2015-08-05
  • Contact: Chen Xiao-Yu E-mail:xychen@mail.zjgsu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11375152).

摘要: 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.

关键词: full separability, GHZ state, Pauli noise

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.

Key words: full separability, GHZ state, Pauli noise

中图分类号:  (Entanglement and quantum nonlocality)

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