Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Cloning, Broadcasting and the de Finetti theorem in Generalized Probablistic Theories

Matthew Leifer, Howard Barnum, Jonathan Barrett, Alexander Wilce

Published Mar 5, 2007• 0 citations
OpenAlex

Related papers

On Quantum Estimation, Quantum Cloning and Finite Quantum de Finetti Theorems

Giulio Chiribella

arXiv:1010.1875•Lecture notes in computer science•Jan 1, 2011•39 citations

The de Finetti theorem for test spaces

Jonathan Barrett, Matthew Leifer

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.

arXiv:0712.2265•New Journal of Physics•Mar 17, 2009•27 citations

Information transfer in generalized probabilistic theories

Zhaoqi Wu, Chuanxi Zhu, Shunlong Luo +1 more

Physics Letters A•Aug 11, 2015•8 citations

Variations on quantum de Finetti theorems and operator valued Martin boundaries: A Choquet–Deny approach

Benoı̂t Collins, Thierry Giordano, Ryosuke Sato

We revisit the quantum de Finetti theorem. We state and prove a couple of variants thereof. In parallel, we introduce an operator version of the Martin boundary on quantum groups and prove generalizations of Biane’s theorem. Our proof of the de Finetti theorem is new in the sense that it is based on an analogy with the theory of operator-valued Martin boundary that we introduce.

arXiv:2402.09713•Proceedings of the American Mathematical Society•Jan 15, 2026•0 citations

Extensions and Restrictions of Generalized Probabilistic Theories

Jonathan Steinberg

BesMasters•Jan 1, 2022•0 citations

Finite de Finetti theorem for conditional probability distributions describing physical theories

Matthias Christandl, Ben Toner

We work in a general framework where the state of a physical system is defined by its behavior under measurement and the global state is constrained by no-signaling 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.

arXiv:0712.0916•Journal of Mathematical Physics•Apr 1, 2009•24 citations
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.
We work in a general framework where the state of a physical system is defined by its behavior under measurement and the global state is constrained by no-signaling 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.