RAMGOOLAM, Sanjaye and Michal SEDLÁK. Quantum information processing and composite quantum fields. Journal of High Energy Physics. New York: SPRINGER, 2019, neuveden, No 1, p. 170-187. ISSN 1029-8479. Available from: https://dx.doi.org/10.1007/JHEP01(2019)170.
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Original name Quantum information processing and composite quantum fields
Authors RAMGOOLAM, Sanjaye (826 United Kingdom of Great Britain and Northern Ireland, guarantor) and Michal SEDLÁK (703 Slovakia, belonging to the institution).
Edition Journal of High Energy Physics, New York, SPRINGER, 2019, 1029-8479.
Other information
Original language English
Type of outcome Article in a journal
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14330/19:00107411
Organization Fakulta informatiky – Repository – Repository
Doi http://dx.doi.org/10.1007/JHEP01(2019)170
UT WoS 000456586600001
Keywords in English 1; N Expansion; AdS-CFT Correspondence
Links GA16-22211S, research and development project. MUNI/G/1211/2017, interní kód Repo.
Changed by Changed by: RNDr. Daniel Jakubík, učo 139797. Changed: 12/6/2022 02:56.
Abstract
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.
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