Dilation of arbitrary symmetric quantum dynamical semigroups on $B(\clh)$

TL;DR

This paper proves the existence of a Hudson-Parthasarathy dilation for symmetric quantum dynamical semigroups on B(H), expanding the mathematical framework for quantum stochastic processes.

Contribution

It establishes the dilation for symmetric quantum dynamical semigroups on B(H), a significant extension of existing dilation theory.

Findings

Existence of Hudson-Parthasarathy dilation for symmetric semigroups.

Extension of dilation theory to symmetric quantum dynamical semigroups.

Mathematical framework for quantum stochastic processes.

Abstract

We prove the existence of Hudson Parthasarathy dilation of a quantum dynamical semigroup on $B(\clh),$ which is symmetric with respect to the canonical normal trace on it.