11 citations · 17 across the 6 of their papers we have counts for
8 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…
Markovianity and the Thompson Monoid
Claus Köstler, Arundhathi Krishnan, Stephen J. Wills
We introduce a new distributional invariance principle, called `partial spreadability', which emerges from the representation theory of the Thompson monoid in noncommutative…
An algebraic construction of quantum flows with unbounded generators
Alexander C. R. Belton, Stephen J. Wills
It is shown how to construct *-homomorphic quantum stochastic Feller cocycles for certain unbounded generators, and so obtain dilations of strongly continuous quantum dynamical sem…
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…
E-semigroups Subordinate to CCR Flows
Stephen J. Wills
The subordinate E-semigroups of a fixed E-semigroup are in one-to-one correspondence with local projection-valued cocycles of that semigroup. For the CCR flow we characterise these…
Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method
J. Martin Lindsay, Stephen J. Wills
A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and…