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On Exchangeable Continuous Variable Systems

Robert Koenig, Michael M. Wolf

J. Math. Phys. 50, 012102 **, (2009)

DOI: 10.1063/1.3043788 Pfeil
*arXiv.org*: 0804.3070 Pfeil

Abstract: We investigate permutation-invariant continuous variable quantum states and their covariance matrices. We provide a complete characterization of the latter with respect to permutation-invariance, exchangeability and representing convex combinations of tensor power states. On the level of the respective density operators this leads to necessary criteria for all these properties which become necessary and sufficient for Gaussian states. For these we use the derived results to provide de Finetti-type theorems for various distance measures.