The Quantum Separability Problem for Gaussian States

Authors:
Stefano Mancini;Simone Severini
Affiliations:
Physics Department, University of Camerino, I-62032 Camerino, Italy;Department of Mathematics, University of York, YO10 5DD York, UK
Venue:
Electronic Notes in Theoretical Computer Science (ENTCS)
Year:
2007

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Abstract

Determining whether a quantum state is separable or entangled is a problem of fundamental importance in quantum information science. This is a brief review in which we consider the problem for states in infinite dimensional Hilbert spaces. We show how the problem becomes tractable for a class of Gaussian states.