On Exchangeable Continuous Variable Systems

Details On Exchangeable Continuous Variable Systems On Exchangeable Continuous Variable Systems

2008-04-18

arxiv.org/abs/0804.3070v1

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

Physics

Quantum Physics

4 pages

Scientific paper

10.1063/1.3043788

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.

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