Published January 2009
| Published
Journal Article
Open
On exchangeable continuous variable systems
- Creators
- König, Robert
- Wolf, Michael M.
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.
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.Attached Files
Published - KONjmp09.pdf
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Additional details
- Eprint ID
- 12953
- Resolver ID
- CaltechAUTHORS:KONjmp09
- PHY-0456720
- National Science Foundation
- PHY-0803371
- National Science Foundation
- Danish National Research Foundation Center for Quantum Optics (QUANTOP)
- Danish Natural Science Research Council (FNU)
- Created
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2009-01-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field