Work

A general formulation based on algebraic spinors for the quantum computation

Year: 2020

Type: article

Abstract: 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.

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s0219887820502060

Authors: Marco A. S. Trindade, Sergio Floquet, J. David M. Vianna

Institutions: Universidade do Estado da Bahia, Universidade Federal do Vale do São Francisco, Universidade Federal da Bahia, Universidade de Brasília

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3011457714

FWCI: 0.586

Cites: 22

Cited by: 2

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