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Abstract: We present an elementary proof of the quantum de Finetti representation theorem, a quantum analogue of de Finetti's classical theorem on exchangeable probability assignments. This contrasts with the original proof of Hudson and Moody [Z. Wahrschein. verw. Geb. 33, 343 (1976)], which relies on advanced mathematics and does not share the same potential for generalization. (Update)
Context of citations to this paper: More
...is found through a quantum mechanical version of de Finetti s classic theorem on unknown probabilities. This reports work from Refs. [17] and [18] Maybe one of the most interesting things about the theorem is that it fails for Hilbert spaces over the field of real numbers,...
...is found through a quantum mechanical version of de Finetti s classic theorem on unknown probabilities. This reports work from Refs. [32] and [33] Maybe one of the most interesting things about the theorem is that it fails for Hilbert spaces over the field of real numbers,...
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BibTeX entry: (Update)
C. M. Caves, C. A. Fuchs and R. Schack, "Unknown Quantum States: The Quantum de Finetti Representation," quant-ph/0104088. http://citeseer.ist.psu.edu/caves02unknown.html More
@misc{ caves-unknown,
author = "C. Caves and C. Fuchs and R. Schack",
title = "Unknown Quantum States: The Quantum de Finetti Representation",
text = "C. M. Caves, C. A. Fuchs and R. Schack, Unknown Quantum States: The Quantum
de Finetti Representation, quant-ph/0104088.",
url = "citeseer.ist.psu.edu/caves02unknown.html" }
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