An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

被引：7

作者：

Alves, R. ^{[1
]}

Hildenbrand, D. ^{[2
]}

Hrdina, J. ^{[3
]}

Lavor, C. ^{[4
]}

机构：

[1] Fed Univ ABC CMCC UFABC, BR-09606070 Sao Bernardo, SP, Brazil

[2] Univ Technol Darmstadt, D-64277 Darmstadt, Germany

[3] Brno Univ Technol, Brno 61669, Czech Republic

[4] Univ Campinas IMECC Unicamp, BR-13081970 Campinas, Brazil

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2022年 / 32卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

GAALOPWeb; Qubits; Quantum computing; Geometric algebra;

D O I：

10.1007/s00006-021-01185-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：20

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