The de Finetti theorem for test spaces

被引:18
作者
Barrett, Jonathan [1 ]
Leifer, Matthew [2 ,3 ]
机构
[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England
[2] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
[3] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
基金
英国工程与自然科学研究理事会;
关键词
UNKNOWN QUANTUM STATES; OPERATIONAL STATISTICS; NONLOCALITY; REPRESENTATIONS;
D O I
10.1088/1367-2630/11/3/033024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We 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.
引用
收藏
页数:17
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