Junge, MariusKubicki, AleksanderPalazuelos Cabezón, CarlosVillanueva Díez, Ignacio2023-06-222023-06-222022-09-13Junge, 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.2022.109708.0022-123610.1016/j.jfa.2022.109708https://hdl.handle.net/20.500.14352/71790CRUE-CSIC (Acuerdos Transformativos 2022)In 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.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.1016/j.jfa.2022.109708open access517.986.3Operator spacesCompletely bounded mapsCb-summing mapsQuantum XOR gamesTeoría de los quantaAnálisis funcional y teoría de operadores2210.23 Teoría Cuántica