Quantum Register Algebra: The Basic Concepts
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU151300" target="_blank" >RIV/00216305:26210/24:PU151300 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-031-34031-4_10" target="_blank" >http://dx.doi.org/10.1007/978-3-031-34031-4_10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-34031-4_10" target="_blank" >10.1007/978-3-031-34031-4_10</a>
Alternative languages
Result language
angličtina
Original language name
Quantum Register Algebra: The Basic Concepts
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10200 - Computer and information sciences
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Advanced Computational Applications of Geometric Algebra
ISBN
978-3-031-34030-7
ISSN
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e-ISSN
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Number of pages
11
Pages from-to
112-122
Publisher name
SPRINGER INTERNATIONAL PUBLISHING AG
Place of publication
CHAM
Event location
Denver
Event date
Oct 2, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001207009400010