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Conditions for the local manipulation of Gaussian states

J. Eisert, M. B. Plenio

quant-pharXiv:quant-ph/0109126

Abstract

We present a general necessary and sufficient criterion for the possibility of a state transformation from one mixed Gaussian state to another of a bi-partite continuous-variable system with two modes. The class of operations that will be considered is the set of local Gaussian completely positive trace-preserving maps.

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