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

• URL: http://arxiv.org/abs/2202.13292v2
• Date: Wed, 20 Apr 2022 14:26:08 GMT
• Title: Twisted convolution quantum information channels, one-parameter semigroups and their generators
• Authors: K. R. Parthasarathy
• Abstract summary: We use the tool of quantum characteristic functions of n-mode states in the boson Fock space Gamma(C_n) to construct a semigroup of quantum information channels.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Using the tool of quantum characteristic functions of n-mode states in the boson Fock space {\Gamma}(C_n) 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 involve additional features which do not appear in the standard GKSL form. A heuristic discussion of the form of these generators is included. In the wake of this analysis many open problems arise naturally.

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