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.

English title

Quantum Register Algebra: the mathematical language for quantum computing

Type

journal article in Web of Science

Language

en

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.

English 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 in English

Quantum computing; Geometric Algebra; Quantum Register Algebra

Released

31.08.2023

Publisher

SPRINGER

Location

NEW YORK

ISSN

1573-1332

Volume

22

Number

9

Pages from–to

1–27

Pages count

27

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",
  year="2023",
  volume="22",
  number="9",
  month="August",
  pages="1--27",
  publisher="SPRINGER",
  address="NEW YORK",
  issn="1573-1332"
}