A Symplectic Interpretation of the Separability of Gaussian Mixed States

2018/09/01 by Maurice A. de Gosson, de Gosson, Maurice A.
Physics and Astronomy · #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.1809.00184

Abstract

We prove, using symplectic methods and The Wigner formalism, a refinement of a criterion due to Werner and Wolf for the separability of bipartite Gaussian mixed states in an arbitrary number of dimensions. We use our result to show that one can characterize separability by comparing these states with separable pure Gaussian states.

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