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Entangled Projector and a New Approach for Obtaining the Entangled Wigner Operator
Authors:Xue-fen Xu  Zhen Wang  Hong-yi Fan
Institution:1. Department of Basic Course, Wuxi Institute of Technology, Wuxi, 214121, China
2. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China
Abstract:Like the coordinate projector |q〉〈q|=δ(q?Q), where Q is coordinate operator, we find that $\pi\delta( \eta_{1}-\frac{Q_{1}-Q_{2}}{\sqrt{2}}) \delta( \eta_{2}-\frac{P_{1}+P_{2}}{\sqrt{2}}) $ is an entangled projector |η〉〈η|, where |η〉 is the bipartite entangled state and η=η 1+ 2. We then derive the entangled Wigner operator in terms of the properties of the entangled projector. This seems a new approach for obtaining the entangled Wigner operator.
Keywords:
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