Publication detail
Quantum computing based on quantum bit algebra QGA
HRDINA, J. TICHÝ, R.
English title
Quantum computing based on quantum bit algebra QGA
Type
conference paper
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
Geometric algebra; Geometric algebra computing; GAALOP; Quantum computing; Hyperbolic quantum mechanics; Quantum bit algebra
Released
21.10.2020
Publisher
Springer
ISBN
978-3-030-70739-2
Book
Modelling and Simulation for Autonomous Systems
Pages from–to
3–14
Pages count
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"
}