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
Full text not available from this repository.Abstract
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.