Quasifree stochastic cocycles and quantum random walks

Autor:	Belton, Alexander C. R., Gnacik, Michal, Lindsay, J. Martin, Zhong, Ping
Rok vydání:	2017
Předmět:	Mathematical Physics Mathematics - Functional Analysis Mathematics - Operator Algebras Mathematics - Probability 81S25 (primary) 46L53 46N50 60F17 82C10 (secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: Supported by the Leverhulme Trust Research Project Grant RPG-2014-196 Quantum Random Walks and Quasi-free Quantum Stochastic Calculus. 36 pages. Minor corrections have been made in version 2 which also contains references to several further articles. Further minor corrections, and bibliographical updates, made in version 3. To appear in the Journal of Statistical Physics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.00682 Zobrazit plný text záznamu View this record from Arxiv