Detail publikačního výsledku

Quantum computing based on quantum bit algebra QGA

HRDINA, J.; TICHÝ, R.

Original Title

Quantum computing based on quantum bit algebra QGA

English Title

Quantum computing based on quantum bit algebra QGA

Type

Paper in proceedings (conference paper)

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

Geometric algebra; Geometric algebra computing; GAALOP; Quantum computing; Hyperbolic quantum mechanics; Quantum bit algebra

Key words in English

Geometric algebra; Geometric algebra computing; GAALOP; Quantum computing; Hyperbolic quantum mechanics; Quantum bit algebra

Authors

HRDINA, J.; TICHÝ, R.

RIV year

2021

Released

21.10.2020

Publisher

Springer

ISBN

978-3-030-70739-2

Book

Modelling and Simulation for Autonomous Systems

Pages from

3

Pages to

14

Pages count

12

Full text in the Digital Library

http://hdl.handle.net/

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",
  pages="3--14",
  publisher="Springer",
  doi="10.1007/978-3-030-70740-8\{_}1",
  isbn="978-3-030-70739-2"
}