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arXiv · 2308.05185

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

Fabio Bagarello·Yanga Bavuma·Francesco G. Russo
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Abstract

The group of matrices $P_1$ 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 $P_1$ and the Pauli 2-group $P_2$ 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 $P_1$ and $P_2$ in terms of pseudofermionic operators.

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Fabio Bagarello, Yanga Bavuma, Francesco G. Russo. 2023-08-09. On the Pauli group on 2-qubits in dynamical systems with pseudofermions. https://doi.org/10.1515/forum-2022-0370

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