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Multi-mode Einstein-Podolsky-Rosen Entangled State Representation and Its Applications
Authors:LI Heng-Mei and YUAN Hong-Chun
Affiliation:1. Institute for Theoretical Physics and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;2. Department of Physics, Huaibei Coal Industry Teachers'College, Huaibei 235000, China
Abstract:Our primary purpose of this work is to explicitly construct the general multipartite Einstein-Podolsky-Rosen (EPR) entangled state in multi-mode Fock space for a system with different masses of particles, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its entanglement can be seen more clearly by analyzing its standard Schmidt decomposition. In addition, some applications ofthe multipartite entanglement are proposed including deriving thegeneralized Wigner operator and squeezing operator.
Keywords:Einstein-Podolsky-Rosen (EPR) entangled state   representation   
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