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On the Pauli group on 2-qubits in dynamical systems with pseudofermions
F. Bagarello, Yanga Bavuma, Francesco G. Russo·August 9, 2023·DOI: 10.1515/forum-2022-0370
PhysicsMathematics
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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.