Toric Realisation of Quantum Systems via Clifford Structures

作     者：Mohammed Bensed Youssef El Maadi Mohammed Bensed;Youssef El Maadi

作者机构：Département de Physique LabSIMO Faculté des Sciences Université Ibn Tofail Kénitra Morocco Département de Physique Equipe des Sciences de la matiére et du rayonnement ESMaR Faculté des Sciences Université Mohammed V de Rabat Rabat Morocco 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2022年第10卷第2期

页      面：527-537页

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：Qubit Information Systems Clifford Graph Algebras Toric Geometry 

摘      要：We present a geometric approach to describe quantum information systems. Precisely, we elaborate a genuine correspondence between toric geometry and qubit systems using the construction of Clifford graph algebras. This mapping may be explored to investigate qubit information applications using toric geometry considered as a potent tool to understand high energy physics including black holes and string theory. Explicitly, we examine in some details the cases of two and three qubits, and we find that they are associated with certain Clifford graph structures. Mixed states are also discussed.