中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70301-070301.doi: 10.1088/1674-1056/20/7/070301

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A new approach to obtaining positive-definite Wigner operator for two entangled particles with different masses

袁洪春1, 许朋2, 姜年权2, 范洪义3, 徐学翔3, 王帅3, 王震3   

  1. (1)College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (2)College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China; (3)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2010-09-11 修回日期:2010-12-24 出版日期:2011-07-15 发布日期:2011-07-15

A new approach to obtaining positive-definite Wigner operator for two entangled particles with different masses

Fan Hong-Yi(范洪义)a), Xu Xue-Xiang(徐学翔)a)b), Yuan Hong-Chun(袁洪春)b), Wang Shuai(王帅)a), Wang Zhen(王震)a), Xu Peng(许朋)c), and Jiang Nian-Quan(姜年权)c)†   

  1. a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; b College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; c College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China
  • Received:2010-09-11 Revised:2010-12-24 Online:2011-07-15 Published:2011-07-15

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摘要： Based on our previously proposed Wigner operator in entangled form, we introduce the generalized Wigner operator for two entangled particles with different masses, which is expected to be positive-definite. This approach is able to convert the generalized Wigner operator into a pure state so that the positivity can be ensured. The technique of integration within an ordered product of operators is used in the discussion.

关键词: positive-definite Wigner operator, entangled form, marginal distribution

Abstract: Based on our previously proposed Wigner operator in entangled form, we introduce the generalized Wigner operator for two entangled particles with different masses, which is expected to be positive-definite. This approach is able to convert the generalized Wigner operator into a pure state so that the positivity can be ensured. The technique of integration within an ordered product of operators is used in the discussion.

Key words: positive-definite Wigner operator, entangled form, marginal distribution

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.Dv (Quantum state engineering and measurements)