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On exchangeable continuous variable systems

König, Robert and Wolf, Michael M. (2009) On exchangeable continuous variable systems. Journal of Mathematical Physics, 50 (1). Art. No. 012102. ISSN 0022-2488. doi:10.1063/1.3043788. https://resolver.caltech.edu/CaltechAUTHORS:KONjmp09

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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 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.3043788DOIUNSPECIFIED
http://link.aip.org/link/?JMAPAQ/50/012102/1PublisherUNSPECIFIED
Additional Information:© 2009 American Institute of Physics. Received 17 September 2008; accepted 18 November 2008; published 8 January 2009. R.K. would like to thank the Max Planck Institute for its hospitality and Ignacio Cirac and Geza Giedke for helpful discussions. He acknowledges support by NSF under Contract No. PHY-0456720 and PHY-0803371. M.M.W. acknowledges financial support by QUANTOP and the Danish Natural Science Research Council (FNU). Both authors thank the editors and reviewers for their comments.
Funders:
Funding AgencyGrant Number
National Science FoundationPHY-0456720
National Science FoundationPHY-0803371
Danish National Research Foundation Center for Quantum Optics (QUANTOP)UNSPECIFIED
Danish Natural Science Research Council (FNU)UNSPECIFIED
Issue or Number:1
DOI:10.1063/1.3043788
Record Number:CaltechAUTHORS:KONjmp09
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:KONjmp09
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12953
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:10 Jan 2009 08:47
Last Modified:08 Nov 2021 22:34

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