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Communications in Theoretical Physics

On the Entangled State Representation with Continuum Variables

Fan Hong-Yi

Published Sep 15, 2000• 14 citations
Publisher

Abstract

we propose the conception of entangled state representation with continuum variables. We analyze the non-factorizable properties of the 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 as entangled state representation, as it is orthonormal and complete

DOI
10.1088/0253-6102/34/2/341

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we propose the conception of entangled state representation with continuum variables. We analyze the non-factorizable properties of the 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 as entangled state representation, as it is orthonormal and complete