On exchangeable continuous variable systems

Journal Article · Thu Jan 15 00:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3043788· OSTI ID:21175882

Koenig, Robert ^[1]; Wolf, Michael M ^[2]

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1. Institute for Quantum Information, Caltech, Pasadena, CA 91125 (United States)
2. Max-Planck-Institut fuer Quantenoptik, D-85748 Garching (Germany)

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 and 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.

• OSTI ID: 21175882
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 1; Other Information: DOI: 10.1063/1.3043788; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
DENSITY
DISTANCE
MATRICES
MEASURE THEORY
TENSORS