Publication detail

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

HRDINA, J. ALVES, R. HILDENBRAND, D. LAVOR, C.

English title

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

Type

journal article in Web of Science

Language

en

Original abstract

In this paper, we present Geometric Algebra as a powerful language to describe quantum operations using its geometric intuitiveness. Using the web-based GAALOPWeb, an online geometric algebra algorithm optimizer for computing with qubits, we describe new formulations for the NOT operation, as well as a strategy to describe the Z gate and especially the Hadamard operation both for one and multiple qubits.

English abstract

In this paper, we present Geometric Algebra as a powerful language to describe quantum operations using its geometric intuitiveness. Using the web-based GAALOPWeb, an online geometric algebra algorithm optimizer for computing with qubits, we describe new formulations for the NOT operation, as well as a strategy to describe the Z gate and especially the Hadamard operation both for one and multiple qubits.

Keywords in English

GAALOPWeb; Qubits; Quantum computing; Geometric algebra

Released

11.01.2022

Publisher

SPRINGER BASEL AG

Location

BASEL

ISSN

0188-7009

Volume

32

Number

1

Pages from–to

1–20

Pages count

20

BIBTEX


@article{BUT175755,
  author="Jaroslav {Hrdina} and Rafael {Alves} and Dietmar {Hildenbrand} and Carlile C. {Lavor},
  title="An Online Calculator for Quantum Computing Operations Based on Geometric Algebra",
  year="2022",
  volume="32",
  number="1",
  month="January",
  pages="1--20",
  publisher="SPRINGER BASEL AG",
  address="BASEL",
  issn="0188-7009"
}