Entangling and disentangling in Grover's search algorithm
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F19%3A00113867" target="_blank" >RIV/00216224:14330/19:00113867 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.tcs.2018.10.001" target="_blank" >http://dx.doi.org/10.1016/j.tcs.2018.10.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.tcs.2018.10.001" target="_blank" >10.1016/j.tcs.2018.10.001</a>
Alternative languages
Result language
angličtina
Original language name
Entangling and disentangling in Grover's search algorithm
Original language description
Entanglement is believed to be crucial in making quantum algorithms more powerful than their classical counterparts for certain computational tasks. In Grover's search algorithm, the Grover's operator iteration G can be decomposed into two basic operators, i.e., G = RO, where O is so called the Oracle operator and R is the Reflection operator. To probe the production/depletion of entanglement from basic operator level, we investigate the roles the Oracle and the Reflection operators play in the entanglement dynamics during Grover's search algorithm application. Using geometric measure of entanglement (GME), we show that the Oracle operator is an entangling operator which almost always produces (increases) entanglement while the Reflection operator is a disentangling operator which mainly depletes (decreases) entanglement. We explicitly demonstrate that there exists a turning point during the Grover's iteration application with the following properties. Before that turning point, the entanglement is almost always increased when the Oracle operator is applied, and the effect of the Reflection operator on the level of entanglement can be almost ignored. However, after the turning point, both the Oracle and the Reflection operators play important roles to the entanglement, more exactly, the Reflection operator significantly decreases entanglement while the Oracle operator increases entanglement. All these results are carefully demonstrated.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theoretical Computer Science
ISSN
0304-3975
e-ISSN
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Volume of the periodical
773
Issue of the periodical within the volume
14 June 2019
Country of publishing house
DE - GERMANY
Number of pages
15
Pages from-to
138-152
UT code for WoS article
000469907500009
EID of the result in the Scopus database
2-s2.0-85055153956