11 citations · 17 across the 6 of their papers we have counts for
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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…
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…
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…
Quantum Stochastic Operator Cocycles via Associated Semigroups
J. Martin Lindsay, Stephen J. Wills
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the c…