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Martingales and Cocycles in Quantum Probability

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A formulation of the “martingale problem” in Quantum Probability is proposed and it is shown that the property of being a quantum stochastic cocycle with respect to the Brownian shift… Click to show full abstract

A formulation of the “martingale problem” in Quantum Probability is proposed and it is shown that the property of being a quantum stochastic cocycle with respect to the Brownian shift in the Fock space is equivalent to an “additive cocycle property” of the martingale-candidate which in its turn implies the martingale property.

Keywords: property; cocycles quantum; martingales cocycles; probability; quantum probability

Journal Title: Journal of the Optical Society of America
Year Published: 2020

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