Quantum stochastic analysis–an introduction

JM Lindsay - Quantum independent increment processes I: From …, 2005 - Springer
By quantum stochastic analysis is meant the analysis arising from the natural operator
filtration of a symmetric Fock space over a Hilbert space of squareintegrable vector-valued …

Homomorphic Feller Cocycles on a C*‐Algebra

JM Lindsay, SJ Wills - Journal of the London Mathematical …, 2003 - Wiley Online Library
When a Fock‐adapted Feller cocycle on a C*‐algebra is regular, completely positive and
contractive, it possesses a stochastic generator that is necessarily completely bounded …

Random‐walk approximation to vacuum cocycles

ACR Belton - Journal of the London Mathematical Society, 2010 - Wiley Online Library
Quantum random walks are constructed on operator spaces with the aid of matrix‐space
lifting, a type of ampliation intermediate between those provided by spatial and ultraweak …

Quantum stochastic cocycles and completely bounded semigroups on operator spaces II

JM Lindsay, SJ Wills - Communications in Mathematical Physics, 2021 - Springer
Quantum stochastic cocycles provide a basic model for time-homogeneous Markovian
evolutions in a quantum setting, and a direct counterpart in continuous time to quantum …