Finite de Finetti theorem for conditional probability distributions describing physical theories

DOI10.1063/1.3114986zbMath1214.81027arXiv0712.0916OpenAlexW3104776161MaRDI QIDQ3650490

Matthias Christandl, Ben Toner

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0916

zbMATH Keywords

Hilbert spacesrandom processesstatistical distributions

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) Foundations of probability theory (60A99)

Related Items (8)

Quantum de Finetti theorems under local measurements with applications ⋮ Semidefinite programming hierarchies for constrained bilinear optimization ⋮ De Finetti theorems for quantum conditional probability distributions with symmetry ⋮ A fermionic de Finetti theorem ⋮ De Finetti theorem on the CAR algebra ⋮ Three-dimensionality of space and the quantum bit: an information-theoretic approach ⋮ De Finetti theorems for braided parafermions ⋮ de Finetti reductions for correlations

Cites Work

• Finite exchangeable sequences
• One-and-a-half quantum de Finetti theorems
• A de Finetti representation for finite symmetric quantum states
• Monogamy of non-local quantum correlations
• Locally normal symmetric states and an analogue of de Finetti's theorem
• Quantum cryptography based on Bell’s theorem
• Unknown quantum states: The quantum de Finetti representation

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