Related papers: Pauli component erasing quantum channels

Pauli component erasing quantum channels

URL: http://arxiv.org/abs/2205.05808v2
Date: Fri, 14 Oct 2022 23:32:34 GMT
Title: Pauli component erasing quantum channels
Authors: Jose Alfredo de Leon, Alejandro Fonseca, Francois Leyvraz, David Davalos and Carlos Pineda
Abstract summary: We propose a family of quantum maps that preserve or completely erase the components of a multi-qubit system. For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace. We show that the obtained family of channels forms a semigroup and derive its generators.
Score: 58.720142291102135
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Decoherence of quantum systems is described by quantum channels. However, a complete understanding of such channels, especially in the multi-particle setting, is still an ongoing difficult task. We propose the family of quantum maps that preserve or completely erase the components of a multi-qubit system in the basis of Pauli strings, which we call Pauli component erasing maps. For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace, from which we derive several properties and complete the characterization. Moreover, we show that the obtained family of channels forms a semigroup and derive its generators. We use this simple structure to determine physical implementations and connect the obtained family of channels with Markovian processes.

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