A de Finetti-type theorem with m-dependent states

DOI10.1007/BF01377629zbMath0669.46034MaRDI QIDQ1118788

Dénes Petz

Publication date: 1990

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

de Finetti's theorem on exchangeable sequencesstationary m-dependent statestranslation invariant states on the infinite tensorproduct \(C^*\)- algebra

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30)

Related Items (7)

Semidefinite programming hierarchies for constrained bilinear optimization ⋮ One-and-a-half quantum de Finetti theorems ⋮ Cumulants in noncommutative probability theory. IV: Noncrossing cumulants: de Finetti's theorem and \(L^{p}\)-inequalities ⋮ HOW LONG CAN IT TAKE FOR A QUANTUM CHANNEL TO FORGET EVERYTHING? ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations ⋮ Finite de Finetti Theorem for Infinite-Dimensional Systems ⋮ A de Finetti representation for finite symmetric quantum states

Cites Work

• De Finetti-type theorems: An analytical approach
• Non-translation invariant product states of classical lattice systems
• Symmetric states of composite systems
• Uses of exchangeability
• Asymptotic of Varadhan-type and the Gibbs variational principle
• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• Symmetric Measures on Cartesian Products
• Locally normal symmetric states and an analogue of de Finetti's theorem
• Theory of operator algebras I.
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