中国物理B ›› 2005, Vol. 14 ›› Issue (8): 1507-1511.doi: 10.1088/1009-1963/14/8/005

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Effect of noise on trace distance of remote state preparation

陈爱喜1, 李家华2   

  1. (1)Center for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071, China;Graduate School, Chinese Academy of Sciences, Wuhan 430071, China; (2)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2005-01-06 修回日期:2005-03-14 出版日期:2005-07-13 发布日期:2005-07-13
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90103026 and 60478029).

Effect of noise on trace distance of remote state preparation

Chen Ai-Xi (陈爱喜)ab, Li Jia-Hua (李家华)c   

  1. a Center for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071, Chinab Graduate School, Chinese Academy of Sciences, Wuhan 430071, China; c Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2005-01-06 Revised:2005-03-14 Online:2005-07-13 Published:2005-07-13
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90103026 and 60478029).

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摘要： The influence of noise on the remote preparation of a qubit by an entangled pair is investigated. In Bloch sphere representation, we use the trace distance to describe how close the final state is to the original state to be prepared. Our studies include two cases. Firstly, we consider the sender and the receiver sharing a mixture of two Bell states as quantum channel in remote state preparation (RSP), and calculate the trace distance as a function of mixture ratio and angle of a state to be prepared. Secondly, the system--environment interaction is taken into account by including stochastic fluctuating terms in the system Hamiltonian. Solving the Bloch equations, we obtain the evolution density matrix of the system. We then apply this stochastic model to study the effect of noise on the trace distance of RSP.

关键词: remote state preparation, trace distance, density matrix

Abstract: The influence of noise on the remote preparation of a qubit by an entangled pair is investigated. In Bloch sphere representation, we use the trace distance to describe how close the final state is to the original state to be prepared. Our studies include two cases. Firstly, we consider the sender and the receiver sharing a mixture of two Bell states as quantum channel in remote state preparation (RSP), and calculate the trace distance as a function of mixture ratio and angle of a state to be prepared. Secondly, the system--environment interaction is taken into account by including stochastic fluctuating terms in the system Hamiltonian. Solving the Bloch equations, we obtain the evolution density matrix of the system. We then apply this stochastic model to study the effect of noise on the trace distance of RSP.

Key words: remote state preparation, trace distance, density matrix

中图分类号:  (Noise)

  • 05.40.Ca
03.65.Ud (Entanglement and quantum nonlocality) 03.67.Lx (Quantum computation architectures and implementations) 02.50.Ey (Stochastic processes)