Detail publikace
Quantum Register Algebra: The Basic Concepts
HRDINA, J. VAŠÍK, P. NÁVRAT, A. ERYGANOV, I. ALVES, R. HILDENBRAND, D. STEINMETZ, C. LAVOR, C.
Anglický název
Quantum Register Algebra: The Basic Concepts
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
en
Originální abstrakt
We introduce Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present GAALOP (Geometric Algebra Algorithms Optimizer) implementation of our approach. Using the QRA basis vectors definitions given in Sect. 4 and the framework based on the de Witt basis presented in Sect. 5, we are able to fully describe and compute with QRA in GAALOP using the geometric product. We illustrate the intuitiveness of this computation by presenting the QRA form for the well known SWAP operation on a two qubit register.
Anglický abstrakt
We introduce Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present GAALOP (Geometric Algebra Algorithms Optimizer) implementation of our approach. Using the QRA basis vectors definitions given in Sect. 4 and the framework based on the de Witt basis presented in Sect. 5, we are able to fully describe and compute with QRA in GAALOP using the geometric product. We illustrate the intuitiveness of this computation by presenting the QRA form for the well known SWAP operation on a two qubit register.
Klíčová slova anglicky
quantum computing; geometric algebra; quantum register algebra
Vydáno
08.05.2024
Nakladatel
SPRINGER INTERNATIONAL PUBLISHING AG
Místo
CHAM
ISBN
978-3-031-34030-7
Kniha
Advanced Computational Applications of Geometric Algebra
Ročník
13771
Strany od–do
112–122
Počet stran
11
BIBTEX
@inproceedings{BUT188578,
author="Jaroslav {Hrdina} and Petr {Vašík} and Aleš {Návrat} and Ivan {Eryganov} and Rafael {Alves} and Dietmar {Hildenbrand} and Christian {Steinmetz} and Carlile C. {Lavor},
title="Quantum Register Algebra: The Basic Concepts",
booktitle="Advanced Computational Applications of Geometric Algebra",
year="2024",
volume="13771",
month="May",
pages="112--122",
publisher="SPRINGER INTERNATIONAL PUBLISHING AG",
address="CHAM",
isbn="978-3-031-34030-7"
}