Publication detail

Quantum Register Algebra: the mathematical language for quantum computing

HRDINA, J. VAŠÍK, P. NÁVRAT, A. ERYGANOV, I. HILDENBRAND, D. ALVES, R. LAVOR, C. STEINMETZ, C.

Original Title

Quantum Register Algebra: the mathematical language for quantum computing

Type

journal article in Web of Science

Language

English

Original Abstract

We present Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present Geometric Algebra Algorithms Optimizer (GAALOP) implementation of our approach. We demonstrate the ability to fully describe and compute with QRA in GAALOP using the geometric product.

Keywords

Quantum computing; Geometric Algebra; Quantum Register Algebra

Authors

HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; ERYGANOV, I.; HILDENBRAND, D.; ALVES, R.; LAVOR, C.; STEINMETZ, C.

Released

31. 8. 2023

Publisher

SPRINGER

Location

NEW YORK

ISBN

1573-1332

Periodical

Quantum Information Processing

Year of study

22

Number

9

State

United States of America

Pages from

1

Pages to

27

Pages count

27

URL

https://link.springer.com//article/10.1007/s11128-023-04086-y

BibTex

@article{BUT184576,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Aleš {Návrat} and Ivan {Eryganov} and Dietmar {Hildenbrand} and Rafael {Alves} and Carlile C. {Lavor} and Christian {Steinmetz}",
  title="Quantum Register Algebra: the mathematical language for quantum computing",
  journal="Quantum Information Processing",
  year="2023",
  volume="22",
  number="9",
  pages="1--27",
  doi="10.1007/s11128-023-04086-y",
  issn="1573-1332",
  url="https://link.springer.com//article/10.1007/s11128-023-04086-y"
}