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

被引：2
|
作者：
Bagarello, Fabio [3 ,4 ]
Bavuma, Yanga [1 ]
Russo, Francesco G. [1 ,2 ]
机构：
[1] Univ Cape Town, Dept Math & Appl Math, Private Bag X1, ZA-7701 Rondebosch, Cape Town, South Africa
[2] Univ Western Cape, Dept Math & Appl Math, New CAMS Bldg, Private Bag X17, ZA-7535 Bellville, South Africa
[3] Univ Palermo, Dipartimento Ingn, Viale Sci, Palermo 90128, Italy
[4] Ist Nazl Fis Nucl, Sez Catania, Rome, Italy
来源：
FORUM MATHEMATICUM | 2024年 / 36卷 / 03期
关键词：
Pauli group; PT symmetries; RLC circuits; fermionic operators; Hilbert spaces;
D O I：
10.1515/forum-2022-0370
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：585 / 597
页数：13
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