On the Pauli group on 2-qubits in dynamical systems with pseudofermions-Reference-Cited by-同舟云学术

On the Pauli group on 2-qubits in dynamical systems with pseudofermions

Published:2023-08-31 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Bagarello Fabio¹^ORCID,Bavuma Yanga²^ORCID,Russo Francesco G.³^ORCID

Affiliation:

1. Dipartimento di Ingegneria , Universitá di Palermo , Viale delle Scienze, 90128 , Palermo ; and Istituto Nazionale di Fisica Nucleare, Sezione di Catania , Italy

2. Department of Mathematics and Applied Mathematics , University of Cape Town , Private Bag X1, 7701, Rondebosch , Cape Town , South Africa

3. Department of Mathematics and Applied Mathematics , University of Cape Town , Private Bag X1, 7701, Rondebosch , Cape Town ; and Department of Mathematics and Applied Mathematics, University of the Western Cape, New CAMS Building, Private Bag X17, 7535, Bellville , South Africa

Abstract

Abstract The group of matrices P 1

{P_{1}}

of Pauli is a finite 2-group of order 16 and plays a fundamental role in quantum information theory, since it is related to the quantum information on the 1-qubit. Here we show that both P 1

{P_{1}}

and the Pauli 2-group P 2

{P_{2}}

of order 64 on 2-qubits, other than in quantum computing, can also appear in dynamical systems which are described by non-self-adjoint Hamiltonians. This will allow us to represent P 1

{P_{1}}

and P 2

{P_{2}}

in terms of pseudofermionic operators.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2022-0370/pdf

Reference27 articles.

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4. F. Bagarello, Y. Bavuma and F. G. Russo, Topological decompositions of the Pauli group and their influence on dynamical systems, Math. Phys. Anal. Geom. 24 (2021), no. 2, Paper No. 16.

5. F. Bagarello, A. Inoue and C. Trapani, Non-self-adjoint Hamiltonians defined by Riesz bases, J. Math. Phys. 55 (2014), no. 3, Article ID 033501.

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