Twisted convolution quantum information channels, one-parameter semigroups and their generators

Article Type

Research Article

Publication Title

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Abstract

Using the tool of quantum characteristic functions of n-mode states in the boson Fock space Λ(Cn) we construct a semigroup of quantum information channels. This leads to a special class of one-parameter semigroups of such channels. These semigroups are concrete but their generators have unbounded operator coefficients. These one-parameter semigroups are also quantum dynamical semigroups and the form of the generators involves additional features which do not appear in the standard Gorini-Kossakawski-Sudarshan-Lindbald (GKSL) form. A heuristic discussion of the form of these generators is included. In the wake of this analysis many open problems arise naturally.

DOI

10.1142/S0219025722400069

Publication Date

12-1-2022

Comments

Open Access, Green

This document is currently not available here.

Share

COinS