Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise

doi:10.1088/1674-1056/23/2/020312

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20312-020312.doi: 10.1088/1674-1056/23/2/020312

Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise

陈忠芳, 刘金明, 马雷

State Key Laboratory of Precision Spectroscopy (SKLPS), Department of Physics, East China Normal University (ECNU), Shanghai 200062, China

收稿日期:2013-05-09 修回日期:2013-07-08 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174081, 11034002, 11104075, and 11134003), the National Basic Research Program of China (Grant Nos. 2011CB921602 and 2012CB821302), and the Open Fund from the SKLPS of ECNU.

Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise

Chen Zhong-Fang (陈忠芳), Liu Jin-Ming (刘金明), Ma Lei (马雷)

State Key Laboratory of Precision Spectroscopy (SKLPS), Department of Physics, East China Normal University (ECNU), Shanghai 200062, China

Received:2013-05-09 Revised:2013-07-08 Online:2013-12-12 Published:2013-12-12
Contact: Liu Jin-Ming E-mail:jmliu@phy.ecnu.edu.cn
About author:03.67.Hk; 03.65.Ud
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174081, 11034002, 11104075, and 11134003), the National Basic Research Program of China (Grant Nos. 2011CB921602 and 2012CB821302), and the Open Fund from the SKLPS of ECNU.

摘要/Abstract

摘要： Using two tripartite Greenberger–Horne–Zeilinger (GHZ) states as the shared channels, we investigate the noise effects on the deterministic joint remote preparation of an arbitrary two-qubit state. By unitary matrix decomposition procedure, we first construct the quantum logic circuit of the deterministic joint remote state preparation protocol. Then, we analytically derive the fidelity and the average fidelity for the deterministic joint remote preparation of an arbitrary two-qubit state and of four types of special two-qubit states under the influence of the Pauli noises. It is found that the fidelity depends on the noise types, the qubit-environment coupling strength, and the state to be remotely prepared. Moreover, even if the two GHZ channels are subject to the same environmental noises, the average fidelities for remotely preparing different two-qubit states display different time evolution behaviors. The remote preparation of the identical two-qubit states also shows that the average fidelities affected by different noisy environments exhibit different evolution actions.

关键词: joint remote state preparation, GHZ states, noisy environments

Abstract: Using two tripartite Greenberger–Horne–Zeilinger (GHZ) states as the shared channels, we investigate the noise effects on the deterministic joint remote preparation of an arbitrary two-qubit state. By unitary matrix decomposition procedure, we first construct the quantum logic circuit of the deterministic joint remote state preparation protocol. Then, we analytically derive the fidelity and the average fidelity for the deterministic joint remote preparation of an arbitrary two-qubit state and of four types of special two-qubit states under the influence of the Pauli noises. It is found that the fidelity depends on the noise types, the qubit-environment coupling strength, and the state to be remotely prepared. Moreover, even if the two GHZ channels are subject to the same environmental noises, the average fidelities for remotely preparing different two-qubit states display different time evolution behaviors. The remote preparation of the identical two-qubit states also shows that the average fidelities affected by different noisy environments exhibit different evolution actions.

Key words: joint remote state preparation, GHZ states, noisy environments

中图分类号: (Quantum communication)

03.67.Hk

03.65.Ud (Entanglement and quantum nonlocality)

陈忠芳, 刘金明, 马雷. Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise[J]. 中国物理B, 2014, 23(2): 20312-020312.

Chen Zhong-Fang (陈忠芳), Liu Jin-Ming (刘金明), Ma Lei (马雷). Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise[J]. Chin. Phys. B, 2014, 23(2): 20312-020312.

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Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise

Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise

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