Jonathan Barrett and Matthew Leifer 2009 New J. Phys. 11 033024 doi:10.1088/1367-2630/11/3/033024
The de Finetti theorem for test spaces
Jonathan Barrett1 and Matthew Leifer2,3
Show affiliationsWe prove a de Finetti theorem for exchangeable sequences of states on test spaces, where a test space is a generalization of the sample space of classical probability theory and the Hilbert space of quantum theory. The standard classical and quantum de Finetti theorems are obtained as special cases. By working in a test space framework, the common features that are responsible for the existence of these theorems are elucidated. In addition, the test space framework is general enough to imply a de Finetti theorem for classical processes. We conclude by discussing the ways in which our assumptions may fail, leading to probabilistic models that do not have a de Finetti theorem.
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Issue 3 (March 2009)
Received 7 October 2008
Published 17 March 2009
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The de Finetti theorem for test spaces
Jonathan Barrett and Matthew Leifer 2009 New J. Phys. 11 033024
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