On Comparison of Some Representations for the Evolution of Quantum Operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F20%3APU138630" target="_blank" >RIV/00216305:26230/20:PU138630 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/9308423" target="_blank" >https://ieeexplore.ieee.org/document/9308423</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/SSCI47803.2020.9308423" target="_blank" >10.1109/SSCI47803.2020.9308423</a>
Alternative languages
Result language
angličtina
Original language name
On Comparison of Some Representations for the Evolution of Quantum Operators
Original language description
This paper presents a comparative study regarding the evolutionary design of quantum operators in the form of unitary matrices. Three different techniques allowing the generation of unitary matrices are investigated whose parameters are tuned by means of evolutionary algorithms. Such problem may be considered as a numerical optimisation task because the unitary matrices are represented by complex numbers with real-valued coefficients. Specifically, Genetic Algorithm and Evolution Strategy are applied, each in four different setups, and evaluated on three case studies: the 2-qubit Controlled-NOT gate, 3-qubit entanglement operator and 4-qubit detector of an element with the maximum amplitude. The evolutionary algorithms in combination with the given representation techniques are evaluated in order to determine the abilities of various experimental setups to solve the given tasks. The main contribution is the utilisation of QR decomposition, a technique for generating unitary matrices from theoretically any sequence of complex numbers, that has been applied for the first time in this paper for the evolution of quantum operators. It will be demonstrated that the QR decomposition exhibits a good performance especially in solving more complex quantum operators in comparison with other representations.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2020 IEEE Symposium Series on Computational Intelligence, SSCI 2020
ISBN
978-1-7281-2547-3
ISSN
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e-ISSN
—
Number of pages
8
Pages from-to
2101-2108
Publisher name
Institute of Electrical and Electronics Engineers
Place of publication
Canberra
Event location
Canberra
Event date
Dec 1, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000682772902021