TITLE:
Toric Realisation of Quantum Systems via Clifford Structures
AUTHORS:
Mohammed Bensed, Youssef El Maadi
KEYWORDS:
Qubit Information Systems, Clifford Graph Algebras, Toric Geometry
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.2,
February
25,
2022
ABSTRACT: 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.