Gaussian Quantum Discord

Paolo Giorda, Matteo G. A. Paris
2010 Physical Review Letters  
We extend the quantum discord to continuous variable systems and evaluate Gaussian quantum discord C(\rho) for bipartite Gaussian states. In particular, for squeezed thermal states (STS), we explicitly maximize the extractable information over Gaussian measurements: C(\rho) is minimized by a generalized measurement rather than a projective one. Almost all STS have nonzero Gaussian discord: they may be either separable or entangled if the discord is below the threshold C(\rho)=1, whereas they
more » ... all entangled above the threshold. We elucidate the general role of state parameters in determining the discord and discuss its evolution in noisy channels.
doi:10.1103/physrevlett.105.020503 pmid:20867693 fatcat:fbm7exkw4bczzpaeep7yhlf4mi