Finite de Finetti Theorem for Infinite-Dimensional Systems
Journal Article
·
· Physical Review Letters
- Department of Mathematics, Royal Holloway, University of London (United Kingdom)
We formulate and prove a de Finetti representation theorem for finitely exchangeable states of a quantum system consisting of k infinite-dimensional subsystems. The theorem is valid for states that can be written as the partial trace of a pure state vertical bar {psi}><{psi} vertical bar chosen from a family of subsets (C{sub n}) of the full symmetric subspace for n subsystems. We show that such states become arbitrarily close to mixtures of pure power states as n increases. We give a second equivalent characterization of the family (C{sub n})
- OSTI ID:
- 20951243
- Journal Information:
- Physical Review Letters, Vol. 98, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.98.160406; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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