Publication detail

Quantum computing based on quantum bit algebra QGA

HRDINA, J. TICHÝ, R.

Original Title

Quantum computing based on quantum bit algebra QGA

Type

conference paper

Language

English

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.

Keywords

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

Authors

HRDINA, J.; TICHÝ, R.

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

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"
}