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

2022/02/27 by K. R. Parthasarathy, Parthasarathy, K. R.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2202.13292

openalex publication_date 2022/02/27 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

Using the tool of quantum characteristic functions of n-mode states in the boson Fock space Γ(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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