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Title: Finite de Finetti Theorem for Infinite-Dimensional Systems

Abstract

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})

Authors:
; ;  [1]
  1. Department of Mathematics, Royal Holloway, University of London (United Kingdom)
Publication Date:
OSTI Identifier:
20951243
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 16; Other Information: DOI: 10.1103/PhysRevLett.98.160406; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENERGY LEVELS; MANY-DIMENSIONAL CALCULATIONS; QUANTUM FIELD THEORY; QUANTUM MECHANICS; SET THEORY

Citation Formats

D'Cruz, Christian, Osborne, Tobias J., and Schack, Ruediger. Finite de Finetti Theorem for Infinite-Dimensional Systems. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.160406.
D'Cruz, Christian, Osborne, Tobias J., & Schack, Ruediger. Finite de Finetti Theorem for Infinite-Dimensional Systems. United States. doi:10.1103/PHYSREVLETT.98.160406.
D'Cruz, Christian, Osborne, Tobias J., and Schack, Ruediger. Fri . "Finite de Finetti Theorem for Infinite-Dimensional Systems". United States. doi:10.1103/PHYSREVLETT.98.160406.
@article{osti_20951243,
title = {Finite de Finetti Theorem for Infinite-Dimensional Systems},
author = {D'Cruz, Christian and Osborne, Tobias J. and Schack, Ruediger},
abstractNote = {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})},
doi = {10.1103/PHYSREVLETT.98.160406},
journal = {Physical Review Letters},
number = 16,
volume = 98,
place = {United States},
year = {Fri Apr 20 00:00:00 EDT 2007},
month = {Fri Apr 20 00:00:00 EDT 2007}
}