On the Pauli group on 2-qubits in dynamical systems with pseudofermions
Mathematical Physics
2023-11-21 v1 Dynamical Systems
Group Theory
math.MP
Operator Algebras
Quantum Algebra
Abstract
The group of matrices 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 and the Pauli 2-group 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 and in terms of pseudofermionic operators.
Keywords
Cite
@article{arxiv.2308.05185,
title = {On the Pauli group on 2-qubits in dynamical systems with pseudofermions},
author = {Fabio Bagarello and Yanga Bavuma and Francesco G. Russo},
journal= {arXiv preprint arXiv:2308.05185},
year = {2023}
}
Comments
Version of December 2022; 12pp; accepted for publication in Forum Math. after changes due to the report