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math.FA2012
A vacuum-adapted approach to quantum Feynman-Kac formulae
Alexander C. R. Belton, J. Martin Lindsay, Adam G. Skalski
The vacuum-adapted formulation of quantum stochastic calculus is employed to perturb expectation semigroups via a Feynman-Kac formula. This gives an alternative perspective on the…
math.FA2012★ 3 cited
Quantum Feynman-Kac perturbations
Alexander C. R. Belton, J. Martin Lindsay, Adam G. Skalski
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von…
math.FA2007
Approximation of quantum Levy processes by quantum random walks
Uwe Franz, Adam Skalski
Every quantum Levy process with a bounded stochastic generator is shown to arise as a strong limit of a family of suitably scaled quantum random walks.