Quasifree Stochastic Cocycles and Quantum Random Walks

Belton, Alexander Charles Richard and Gnacik, Michal and Lindsay, Jonathan Martin and Zhong, Ping (2019) Quasifree Stochastic Cocycles and Quantum Random Walks. Journal of Statistical Physics, 176 (1). pp. 1-39. ISSN 0022-4715

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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 stochastic dilation. The theory is applied to the identification of a wide class of quantum random walks whose limit processes are driven by quasifree noises.

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Journal Article
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Journal of Statistical Physics
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15 Mar 2019 16:25
Last Modified:
22 Nov 2022 07:12