A Covariant Quantum Stochastic Dilation Theory
Partha Sarathi Chakraborty, Debashish Goswami, Kalyan B. Sinha
A covariant version of the dilation theory for quantum dynamical semigrops is established, including both Bhat-Parthasarathy type and Evans-Hudson type dilation. It is shown in particular that every uniformly continuous quantum dynamical semigroup on a separable C*-algebra or a von Neumann algebra, which is covariant under a suitable group-action, admits a covariant Evans-Hudson dilation in some appropriate Fock space. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Birkhäuser Boston eBooks•Jan 1, 2001•6 citations