Decay of N-qubit GHZ states in Pauli channels

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

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

Decay of N-qubit GHZ states in Pauli channels

陈小余, 王婷婷

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)

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/Abstract

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)

陈小余, 王婷婷. Decay of N-qubit GHZ states in Pauli channels[J]. 中国物理B, 2015, 24(8): 80303-080303.

Chen Xiao-Yu (陈小余), Wang Ting-Ting (王婷婷). Decay of N-qubit GHZ states in Pauli channels[J]. Chin. Phys. B, 2015, 24(8): 80303-080303.

参考文献 17

[1]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[2]	Gühne O and Tóth G 2009 Phys. Rep. 474 1
[3]	Monz T, Schindler P, Barreiro J T, et al. 2011 Phys. Rev. Lett. 106 130506
[4]	Yao X C, Wang T X, Xu P, et al. 2012 Nat. Photon. 6 225
[5]	Neeley M, Bialczak R C, Lenander M, et al. 2010 Nature 467 570
[6]	Neumann P, Mizuochi N, Rempp F, et al. 2008 Science 320 1326
[7]	Cavalcanti D, Chaves R, Aolita L, Davidovich L and Acín A 2009 Phys. Rev. Lett. 103 030502
[8]	Aolita L, Cavalcanti D, Chaves R, Dhara C, Davidovich L and Acín A 2010 Phys. Rev. A 82 032317
[9]	Gühne O and Seevinck M 2010 New J. Phys. 12 053002
[10]	Jungnitsch B, Moroder T and Gühne O 2011 Phys. Rev. Lett. 106 190502
[11]	Kay A 2011 Phys. Rev. A 83 020303
[12]	Gühne O 2011 Phys. Lett. A 375 406
[13]	Guo Q Q, Chen X Y and Wang Y Y 2014 Chin. Phys. B 23 050309
[14]	Chen X Y, Jiang L Z, Yu P and Tian M 2012 arXiv: 1204.5511
[15]	Fan Z L, Tian J and Zeng H S 2014 Chin. Phys. B 23 060303
[16]	Ma Y, Dong K and Tian G H 2014 Chin. Phys. B 23 094204
[17]	Hein M, Dür W, Eisert J, Rossendorf R, Van den Nest M and Briegel H J 2006 axXiv: quant-ph/0602096

Decay of N-qubit GHZ states in Pauli channels

Decay of N-qubit GHZ states in Pauli channels

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