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On the relation between completely bounded and (1, cb)- summing maps with applications to quantum xor games

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dc.contributor.authorJunge, Marius
dc.contributor.authorKubicki, Aleksander
dc.contributor.authorPalazuelos Cabezón, Carlos
dc.contributor.authorVillanueva Díez, Ignacio
dc.date.accessioned2023-06-22T10:51:24Z
dc.date.available2023-06-22T10:51:24Z
dc.date.issued2022-09-13
dc.descriptionCRUE-CSIC (Acuerdos Transformativos 2022)
dc.description.abstractIn this work we show that, given a linear map from a general operator space into the dual of a C∗ -algebra, its completely bounded norm is upper bounded by a universal constant times its (1, cb)-summing norm. This problem is motivated by the study of quantum XOR games in the field of quantum information theory. In particular, our results imply that for such games entangled strategies cannot be arbitrarily better than those strategies using one-way classical communication.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyInstituto de Ciencias Matemáticas (ICMAT)
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipNational Science Foundation
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/73513
dc.identifier.citationJunge, M., Kubicki, A. M., Palazuelos Cabezón, C. et al. «On the Relation between Completely Bounded and (1,Cb)-Summing Maps with Applications to Quantum XOR Games». Journal of Functional Analysis, vol. 283, n.o 12, diciembre de 2022, p. 109708. DOI.org (Crossref), https://doi.org/10.1016/j.jfa.2022.109708.
dc.identifier.doi10.1016/j.jfa.2022.109708
dc.identifier.issn0022-1236
dc.identifier.officialurlhttps://doi.org/10.1016/j.jfa.2022.109708
dc.identifier.urihttps://hdl.handle.net/20.500.14352/71790
dc.issue.number12
dc.journal.titleJournal of Functional Analysis
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDGAPS (648913)
dc.relation.projectIDMTM2014- 57838-C2-2-P. C.P; PID2020-113523GB-I00; PID2020-116398GB-I00. C.P. ; CEX2019-000904-S
dc.relation.projectIDQUITEMAD+- CM (P2018/TCS4342)
dc.relation.projectIDCEX2019- 000904-S
dc.relation.projectIDDMS 1800872 ; Raise-TAG183917
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/Number of agreement
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu517.986.3
dc.subject.keywordOperator spaces
dc.subject.keywordCompletely bounded maps
dc.subject.keywordCb-summing maps
dc.subject.keywordQuantum XOR games
dc.subject.ucmTeoría de los quanta
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco2210.23 Teoría Cuántica
dc.titleOn the relation between completely bounded and (1, cb)- summing maps with applications to quantum xor gamesen
dc.typejournal article
dc.volume.number283
dspace.entity.typePublication
relation.isAuthorOfPublication820209c2-2a19-48fd-8acc-feda4b421441
relation.isAuthorOfPublication09970d9e-6722-4f02-aac0-023cf9867638
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublication.latestForDiscovery09970d9e-6722-4f02-aac0-023cf9867638

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