Quantum information processing and composite quantum fields
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F19%3A00107411" target="_blank" >RIV/00216224:14330/19:00107411 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/JHEP01(2019)170" target="_blank" >http://dx.doi.org/10.1007/JHEP01(2019)170</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP01(2019)170" target="_blank" >10.1007/JHEP01(2019)170</a>
Alternative languages
Result language
angličtina
Original language name
Quantum information processing and composite quantum fields
Original language description
Some beautiful identities involving hook contents of Young diagrams have been found in the field of quantum information processing, along with a combinatorial proof. We here give a representation theoretic proof of these identities and a number of generalizations. Our proof is based on trace identities for elements belonging to a class of permutation centralizer algebras. These algebras have been found to underlie the combinatorics of composite gauge invariant operators in quantum field theory, with applications in the AdS/CFT correspondence. Based on these algebras, we discuss some analogies between quantum information processing tasks and the combinatorics of composite quantum fields and argue that this can be fruitful interface between quantum information and quantum field theory, with implications for AdS/CFT.
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
<a href="/en/project/GA16-22211S" target="_blank" >GA16-22211S: Rényi entropies in quantum information processing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
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Volume of the periodical
neuveden
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
18
Pages from-to
170
UT code for WoS article
000456586600001
EID of the result in the Scopus database
2-s2.0-85060500419