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@article{35086,
author = {Ramgoolam, Sanjaye and Sedlák, Michal},
article_location = {New York},
article_number = {1},
doi = {http://dx.doi.org/10.1007/JHEP01(2019)170},
keywords = {1; N Expansion; AdS-CFT Correspondence},
language = {eng},
issn = {1029-8479},
journal = {Journal of High Energy Physics},
title = {Quantum information processing and composite quantum fields},
url = {http://dx.doi.org/10.1007/JHEP01(2019)170},
volume = {neuveden},
year = {2019}
}
TY - JOUR
ID - 35086
AU - Ramgoolam, Sanjaye - Sedlák, Michal
PY - 2019
TI - Quantum information processing and composite quantum fields
JF - Journal of High Energy Physics
VL - neuveden
IS - 1
SP - 170
EP - 170
PB - SPRINGER
SN - 1029-8479
KW - 1
KW - N Expansion
KW - AdS-CFT Correspondence
UR - http://dx.doi.org/10.1007/JHEP01(2019)170
N2 - 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.
ER -
RAMGOOLAM, Sanjaye a Michal SEDLÁK. Quantum information processing and composite quantum fields. \textit{Journal of High Energy Physics}. New York: SPRINGER, 2019, neuveden, č.~1, s.~170-187. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP01(2019)170.
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