Bound entangled Gaussian states

Preprint

28 September 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0009118

Abstract

We discuss the entanglement properties of bipartite states with Gaussian Wigner functions. Separability and the positivity of the partial transpose are characterized in terms of the covariance matrix of the state, and it is shown that for systems composed of a single oscillator for Alice and an arbitrary number for Bob, positivity of the partial transpose implies separability. However, this implications fails with two oscillators on each side, as we show by a five parameter family of explicit counterexamples.

Keywords

BIPARTITE STATES
BOUND ENTANGLED
ENTANGLED GAUSSIAN
ENTANGLEMENT PROPERTIES
GAUSSIAN WIGNER
OSCILLATORS
PARTIAL TRANSPOSE
STATES WITH GAUSSIAN
TRANSPOSE
WIGNER FUNCTIONS

All Related Versions

Version 1, 2000-09-28, ArXiv
Published version: Physical Review Letters, 86 (16), 3658.

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