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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 and Michal SEDLÁK. Quantum information processing and composite quantum fields. \textit{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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