中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1941-1946.doi: 10.1088/1009-1963/15/9/007

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Linear optical implementation of optimal unambiguous discrimination among quantum states

卢竞1, 匡乐满1, 周兰2   

  1. (1)Department of Physics, Hunan Normal University, Changsha 410081, China; (2)Department of Physics, Hunan Normal University, Changsha 410081, China;Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080,China
  • 收稿日期:2006-02-03 修回日期:2006-05-10 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the National Fundamental Research Program (Grant No 2001CB309310), the National Natural Science Foundation of China (Grant Nos 90203018 and 10325523), the Scientific Research Fund of Hunan Provincial Education Department of China (Grant No 04C385), the Natural Science Foundation of Hunan Province of China (Grant No 05JJ30012) and the Science Foundation of Hunan Normal University of China.

Linear optical implementation of optimal unambiguous discrimination among quantum states

Lu Jing(卢竞)a), Zhou Lan(周兰)a)b), and Kuang Le-Man(匡乐满)a)†   

  1. a Department of Physics, Hunan Normal University, Changsha 410081, China; b Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080,China
  • Received:2006-02-03 Revised:2006-05-10 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the National Fundamental Research Program (Grant No 2001CB309310), the National Natural Science Foundation of China (Grant Nos 90203018 and 10325523), the Scientific Research Fund of Hunan Provincial Education Department of China (Grant No 04C385), the Natural Science Foundation of Hunan Province of China (Grant No 05JJ30012) and the Science Foundation of Hunan Normal University of China.

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摘要： In this paper, we present a linear optical scheme for optimal unambiguous discrimination among nonorthogonal quantum states in terms of the multiple-rail and polarization representation of a single photon. In our scheme, discriminated quantum states are expressed by using the spatial degree of freedom of a single photon while the polarization degree of freedom of the single photon is used to act as an auxiliary qubit. The optical components used in our scheme are only passive linear optical elements such as polarizing beam splitters, wave plates, polarizers, single photon detectors, and single photon source.

关键词: unambiguous discrimination of quantum states, quantum measurements, linear optical elements, a single photon

Abstract: In this paper, we present a linear optical scheme for optimal unambiguous discrimination among nonorthogonal quantum states in terms of the multiple-rail and polarization representation of a single photon. In our scheme, discriminated quantum states are expressed by using the spatial degree of freedom of a single photon while the polarization degree of freedom of the single photon is used to act as an auxiliary qubit. The optical components used in our scheme are only passive linear optical elements such as polarizing beam splitters, wave plates, polarizers, single photon detectors, and single photon source.

Key words: unambiguous discrimination of quantum states, quantum measurements, linear optical elements, a single photon

中图分类号:  (General theory of classical mechanics of discrete systems)

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