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A new approach to obtaining positive-definite Wigner operator for two entangled particles with different masses
Authors:Fan Hong-Yi  Xu Xue-Xiang  Yuan Hong-Chun  Wang Shuai  Wang Zhen  Xu Peng and Jiang Nian-Quan
Institution:Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China
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.
Keywords:positive-definite Wigner operator  entangled form  marginal distribution
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