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

Autor:	Bagarello, Fabio, Bavuma, Yanga, Russo, Francesco G.
Rok vydání:	2023
Předmět:	Mathematical Physics Mathematics - Dynamical Systems Mathematics - Group Theory Mathematics - Operator Algebras Mathematics - Quantum Algebra Primary 81R05 22E10 Secondary 22E70 81R30 81Q12
Druh dokumentu:	Working Paper
DOI:	10.1515/forum-2022-0370
Popis:	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. Comment: Version of December 2022; 12pp; accepted for publication in Forum Math. after changes due to the report
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.05185 Zobrazit plný text záznamu View this record from Arxiv