Markov quantum semigroups admit covariant MarkovC*-dilations
Copyright policy )Markov quantum semigroups admit covariant MarkovC*-dilations
Through a Daniell-Kolmogorov type construction, to any Markov quantum semigroup on a \(C^*\)-algebra there is associated a quantum stochastic process which is a dilation of the semigroup, and satisfies a covariance rule which implies the weak Markov property.
- Sorbonne Paris Cité France
- Sorbonne University France
46L55, Markov processes, quantum semigroup, weak Markov property, 46L50, 82A05, Stochastic mechanics (including stochastic electrodynamics), 82A15, dilation of the semigroup, Daniell-Kolmogorov type construction, Markov semigroups and applications to diffusion processes
46L55, Markov processes, quantum semigroup, weak Markov property, 46L50, 82A05, Stochastic mechanics (including stochastic electrodynamics), 82A15, dilation of the semigroup, Daniell-Kolmogorov type construction, Markov semigroups and applications to diffusion processes
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