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On the covariance matrix for Gaussian states

Published 24 Mar 2020 in quant-ph | (2003.11063v2)

Abstract: We show the explicit expression for the covariance matrix of general Gaussian states in terms of the symplectic group matrices. We discuss how the criteria to characterize squeezing and entanglement using the covariance matrix give rise to new criteria in the symplectic matrix elements used to construct the general Gaussian states.

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