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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)† |
| 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 |
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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.
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Received: 11 September 2010
Revised: 24 December 2010
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.Dv
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(Quantum state engineering and measurements)
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Cite this article:
Fan Hong-Yi(范洪义), Xu Xue-Xiang(徐学翔), Yuan Hong-Chun(袁洪春), Wang Shuai(王帅), Wang Zhen(王震), Xu Peng(许朋), and Jiang Nian-Quan(姜年权) A new approach to obtaining positive-definite Wigner operator for two entangled particles with different masses 2011 Chin. Phys. B 20 070301
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