Detail publikace

Quantum computing based on quantum bit algebra QGA

HRDINA, J. TICHÝ, R.

Originální název

Quantum computing based on quantum bit algebra QGA

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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.

Klíčová slova

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

Autoři

HRDINA, J.; TICHÝ, R.

Vydáno

21. 10. 2020

Nakladatel

Springer

ISBN

978-3-030-70739-2

Kniha

Modelling and Simulation for Autonomous Systems

Strany od

3

Strany do

14

Strany počet

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"
}