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Quasifree Stochastic Cocycles and Quantum Random Walks

Quasifree Stochastic Cocycles and Quantum Random Walks

The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson–Parthasarathy quantum stochastic calculus. The question of uniqueness for the covariance amplitude with respect to which a given unitary quantum stochastic cocycle is quasifree is addressed, and related to the minimality of the corresponding …