Publication result detail

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

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

Original Title

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

English Title

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

Type

WoS Article

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

GAALOPWeb; Qubits; Quantum computing; Geometric algebra

Key words in English

GAALOPWeb; Qubits; Quantum computing; Geometric algebra

Authors

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

RIV year

2022

Released

11.01.2022

Publisher

SPRINGER BASEL AG

Location

BASEL

ISBN

0188-7009

Periodical

Advances in Applied Clifford Algebras

Volume

32

Number

1

State

Swiss Confederation

Pages from

1

Pages to

20

Pages count

20

URL

http://10.1007/s00006-021-01185-w

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",
  journal="Advances in Applied Clifford Algebras",
  year="2022",
  volume="32",
  number="1",
  pages="1--20",
  doi="10.1007/s00006-021-01185-w",
  issn="0188-7009",
  url="http://10.1007/s00006-021-01185-w"
}