中国物理B ›› 2008, Vol. 17 ›› Issue (3): 778-784.doi: 10.1088/1674-1056/17/3/007

• GENERAL • 上一篇    下一篇

Remote interactions on two distributed quantum systems: nonlocal unambiguous quantum-state discrimination

陈立冰, 金锐博, 路洪   

  1. Department of Photoelectron and Physics, Foshan University, Foshan 528000, China
  • 收稿日期:2006-12-31 修回日期:2007-09-17 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    Project supported by the Natural Science Foundation of Guangdong Province, China (Grant Nos 06029431 and 020127), and the Natural Science Foundation of the Education Bureau of Guangdong Province, China (Grant No Z02069).

Remote interactions on two distributed quantum systems: nonlocal unambiguous quantum-state discrimination

Chen Li-Bing(陈立冰)†, Jin Rui-Bo(金锐博), and Lu Hong(路洪)   

  1. Department of Photoelectron and Physics, Foshan University, Foshan 528000, China
  • Received:2006-12-31 Revised:2007-09-17 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    Project supported by the Natural Science Foundation of Guangdong Province, China (Grant Nos 06029431 and 020127), and the Natural Science Foundation of the Education Bureau of Guangdong Province, China (Grant No Z02069).

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摘要： Remote quantum-state discrimination is a critical step for the implementation of quantum communication network and distributed quantum computation. We present a protocol for remotely implementing the unambiguous discrimination between nonorthogonal states using quantum entanglements, local operations, and classical communications. This protocol consists of a remote generalized measurement described by a positive operator valued measurement (POVM). We explicitly construct the required remote POVM. The remote POVM can be realized by performing a nonlocal controlled-rotation operation on two spatially separated qubits, one is an ancillary qubit and the other is the qubit which is encoded by two nonorthogonal states to be distinguished, and a conventional local Von Neumann orthogonal measurement on the ancilla. The particular pair of states that can be remotely and unambiguously distinguished is specified by the state of the ancilla. The probability of successful discrimination is not optimal for all admissible pairs. However, for some subset it can be very close to an optimal value in an ordinary local POVM.

Abstract: Remote quantum-state discrimination is a critical step for the implementation of quantum communication network and distributed quantum computation. We present a protocol for remotely implementing the unambiguous discrimination between nonorthogonal states using quantum entanglements, local operations, and classical communications. This protocol consists of a remote generalized measurement described by a positive operator valued measurement (POVM). We explicitly construct the required remote POVM. The remote POVM can be realized by performing a nonlocal controlled-rotation operation on two spatially separated qubits, one is an ancillary qubit and the other is the qubit which is encoded by two nonorthogonal states to be distinguished, and a conventional local Von Neumann orthogonal measurement on the ancilla. The particular pair of states that can be remotely and unambiguously distinguished is specified by the state of the ancilla. The probability of successful discrimination is not optimal for all admissible pairs. However, for some subset it can be very close to an optimal value in an ordinary local POVM.

Key words: remote quantum-state discrimination, positive operator valued measure, nonlocal controlled-rotation, entanglement

中图分类号:  (Quantum communication)

  • 03.67.Hk
03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.65.Ud (Entanglement and quantum nonlocality) 03.67.Lx (Quantum computation architectures and implementations) 03.67.Mn (Entanglement measures, witnesses, and other characterizations) 84.40.Ua (Telecommunications: signal transmission and processing; communication satellites)