SINGLETON CONDITIONS AND QUANTUM DE FINETTI'S THEOREM

Author:

ACCARDI LUIGI1,GHORBAL ANIS BEN2,CRISMALE VITONOFRIO3,LU YUN GANG3

Affiliation:

1. CIVV Rome 2, Via Columbia, 2, 00133 Rome, Italy

2. Al Imam Muhammad Ibn Saud Islamic University, Riyadh, Kingdom of Saudi Arabia

3. Dipartimento di Matematica, Università di Bari, Via Orabona 4, I-70125 Bari, Italy

Abstract

We investigate the validity of quantum De Finetti's Theorem for algebraic random processes satisfying the singleton condition. We first prove a conditional version of the theorem, then we give some natural conditions which guarantee the full validity of De Finetti's Theorem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Reference25 articles.

1. Notions of Independence Related to the Free Group

2. Quantum stochastic processes

3. A Continuous Version of De Finetti's Theorem

4. L. Accardi and G. Pistone, Exchangeability in Probability and Statistics, eds. G. Koch (North Holland, 1982) pp. 125–156.

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