Clifford algebras, algebraic spinors, quantum information and applications

• URL: http://arxiv.org/abs/2005.04231v1
• Date: Fri, 8 May 2020 16:27:16 GMT
• Title: Clifford algebras, algebraic spinors, quantum information and applications
• Authors: Marco A. S. Trindade, Sergio Floquet, J. David M. Vianna
• Abstract summary: We use extensively the algebras $Cl_3,0$ and $Cl_1,3$ as well as tensor products of Clifford algebras for quantum information.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conjugation, parity and time reversal are introduced and explored in connection with states of qubits. Supersymmetry and M-superalgebra are also analysed with our formalism. Specifically we use extensively the algebras $Cl_{3,0}$ and $Cl_{1,3}$ as well as tensor products of Clifford algebras.

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