Entangled Projector and a New Approach for Obtaining the Entangled Wigner Operator |
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Authors: | Xue-fen Xu Zhen Wang Hong-yi Fan |
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Institution: | 1. Department of Basic Course, Wuxi Institute of Technology, Wuxi, 214121, China 2. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China
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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+iη 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. |
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