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

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

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.

Keywords: joint remote state preparation GHZ states noisy environments

Received: 09 May 2013
Revised: 08 July 2013
Accepted manuscript online:

PACS:	03.67.Hk	(Quantum communication)
	03.65.Ud	(Entanglement and quantum nonlocality)

Fund: 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.

Corresponding Authors: Liu Jin-Ming
E-mail: jmliu@phy.ecnu.edu.cn

About author: 03.67.Hk; 03.65.Ud

Cite this article:

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 2014 Chin. Phys. B 23 020312

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