2017/04/03 by Alexander C. R. Belton, Belton, Alexander C. R., Michał Gnacik +5
Computer Science · Mathematics · Physics and Astronomy · #46L53 #46N50 #60F17 #81S25 (primary) #82C10 (secondary) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Probability (math.PR) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.1704.00682
openalex publication_date 2017/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.