On the Entangled State Representation with Continuum Variables |
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| Authors: | FAN HongYi |
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| Affiliation: | 1. Department of Applied Physics, Shanghai Jiao Tong University, Shanghai 200030, China;2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | we propose the conception of entangled state representation with continuum variables. We analyze the non-factorizable properties of the |η> state, the common eigenvector of two-particle relative position and total moment um (Fan Hongyi and J.R. Klauder, Phys. Rev. A49 (1994) 704), and recast it into the standard form as the state prepared in a parametric down conversion process which involves the entanglement of idle and signal photons. We name the set of |η> as entangled state representation, as it is orthonormal and complete |
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| Keywords: | entangled state representation non-factorizable property |
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