11 citations · 11 across the 3 of their papers we have counts for
4 papers
Quantum stochastic cocycles and completely bounded semigroups on operator spaces II
J. Martin Lindsay, Stephen J. Wills
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 random walk…
Quantum stochastic cocycles and completely bounded semigroups on operator spaces
J. Martin Lindsay, Stephen J. Wills
An operator space analysis of quantum stochastic cocycles is undertaken. These are cocycles with respect to an ampliated CCR flow, adapted to the associated filtration of subspaces…
On quantum stochastic differential equations
J. Martin Lindsay, Adam G. Skalski
Existence and uniqueness theorems for quantum stochastic differential equations with nontrivial initial conditions are proved for coefficients with completely bounded columns. Appl…
Quantum stochastic convolution cocycles II
J. Martin Lindsay, Adam Skalski
Schuermann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum g…