Detail publikace
Quantum computing based on quantum bit algebra QGA
HRDINA, J. TICHÝ, R.
Anglický název
Quantum computing based on quantum bit algebra QGA
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
en
Originální abstrakt
We describe quantum bit algebra (QBA) as an algebra for quantum formalism. We represent the qubits as vectors in QBA and the gates as conjugations. We describe the algebra of their infinitesimal isomorphisms and discuss their relations to orthogonal Lie algebra so(n). We show that QBA can be seen as a model of a hyperbolic quantum computing instead of the classical one.
Anglický abstrakt
We describe quantum bit algebra (QBA) as an algebra for quantum formalism. We represent the qubits as vectors in QBA and the gates as conjugations. We describe the algebra of their infinitesimal isomorphisms and discuss their relations to orthogonal Lie algebra so(n). We show that QBA can be seen as a model of a hyperbolic quantum computing instead of the classical one.
Klíčová slova anglicky
Geometric algebra; Geometric algebra computing; GAALOP; Quantum computing; Hyperbolic quantum mechanics; Quantum bit algebra
Vydáno
21.10.2020
Nakladatel
Springer
ISBN
978-3-030-70739-2
Kniha
Modelling and Simulation for Autonomous Systems
Strany od–do
3–14
Počet stran
12
BIBTEX
@inproceedings{BUT170533,
author="Jaroslav {Hrdina} and Radek {Tichý},
title="Quantum computing based on quantum bit algebra QGA",
booktitle="Modelling and Simulation for Autonomous Systems",
year="2020",
month="October",
pages="3--14",
publisher="Springer",
isbn="978-3-030-70739-2"
}