RT Journal Article
T1 On the relation between completely bounded and (1, cb)- summing maps with applications to quantum xor games
A1 Junge, Marius
A1 Kubicki, Aleksander
A1 Palazuelos Cabezón, Carlos
A1 Villanueva Díez, Ignacio
AB 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.
PB Elsevier
SN 0022-1236
YR 2022
FD 2022-09-13
LK https://hdl.handle.net/20.500.14352/71790
UL https://hdl.handle.net/20.500.14352/71790
LA eng
NO Junge, 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.
NO CRUE-CSIC (Acuerdos Transformativos 2022)
NO Unión Europea
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Comunidad de Madrid
NO National Science Foundation
DS Docta Complutense
RD 11 may 2025