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BCS-like Modewise Entanglement of Fermion Gaussian States

2004/04/30 by Alonso Botero, Benni Reznik · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.str-el

paper · pdf · doi:10.1016/j.physleta.2004.08.037

published as Physics Letters A 331 (2004) 39-44 · 10 pages, RevTex4

arxiv created 2004/12/16 · arxiv updated 2009/12/01

Abstract

We show that with respect to any bipartite division of modes, pure fermion gaussian states display the same type of structure in its entanglement of modes as that of the BCS wave function, namely, that of a tensor product of entangled two-mode squeezed fermion states. We show that this structure applies to a wider class of "isotropic" mixed fermion states, for which we derive necessary and sufficient conditions for mode entanglement.

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