The de Finetti Theorem for Test Spaces

Authors

Jonathan Barrett, University of Bristol
Matthew S. Leifer, Chapman UniversityFollow

Document Type

Article

Publication Date

2009

Abstract

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.

Comments

This article was originally published in New Journal of Physics, volume 11, in 2009. DOI: 10.1088/1367-2630/11/3/033024

Recommended Citation

Jonathan Barrett and Matthew Leifer 2009 New J. Phys. 11 033024. doi:10.1088/1367-2630/11/3/033024

Peer Reviewed

1

Copyright

IOP Publishing

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.