Quantum Physics
[Submitted on 6 Dec 2007 (v1), last revised 16 Apr 2009 (this version, v2)]
Title:Finite de Finetti theorem for conditional probability distributions describing physical theories
View PDFAbstract: We work in a general framework where the state of a physical system is defined by its behaviour under measurement and the global state is constrained by no-signalling conditions. We show that the marginals of symmetric states in such theories can be approximated by convex combinations of independent and identical conditional probability distributions, generalizing the classical finite de Finetti theorem of Diaconis and Freedman. Our results apply to correlations obtained from quantum states even when there is no bound on the local dimension, so that known quantum de Finetti theorems cannot be used.
Submission history
From: Matthias Christandl [view email][v1] Thu, 6 Dec 2007 11:22:18 UTC (193 KB)
[v2] Thu, 16 Apr 2009 05:00:17 UTC (222 KB)
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