A general formulation based on algebraic spinors for the quantum computation
Marco A. S. Trindade, Sérgio Floquet, J. David M. Vianna
In this work, we explore the structure of Clifford algebras and the representations of the algebraic spinors in quantum information theory. Initially, we present a general formulation through elements of minimal left ideals in tensor products of Clifford algebras. Posteriorly, we perform some applications in quantum computation: qubits, entangled states, quantum gates, representations of the braid group, quantum teleportation, Majorana operators and supersymmetry. Finally, we discuss advantages compared to standard Hilbert space formulation.
arXiv:2003.05089•International Journal of Geometric Methods in Modern Physics•Sep 25, 2020•2 citations