Academic Journal
On the relation between completely bounded and (1, cb)- summing maps with applications to quantum xor games
| العنوان: | On the relation between completely bounded and (1, cb)- summing maps with applications to quantum xor games |
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| المؤلفون: | Junge, Marius, Kubicki, Aleksander, Palazuelos Cabezón, Carlos, Villanueva Díez, Ignacio |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2022 |
| المجموعة: | Universidad Complutense de Madrid (UCM): E-Prints Complutense |
| مصطلحات موضوعية: | 517.986.3, Operator spaces, Completely bounded maps, Cb-summing maps, Quantum XOR games, Teoría de los quanta, Análisis funcional y teoría de operadores, 2210.23 Teoría Cuántica |
| الوصف: | CRUE-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. ; Unión Europea ; Ministerio de Ciencia, Innovación y Universidades (España) ; Comunidad de Madrid ; National Science Foundation ; Depto. de Análisis Matemático y Matemática Aplicada ; Instituto de Ciencias Matemáticas (ICMAT) ; Fac. de Ciencias Matemáticas ; TRUE ; pub |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0022-1236 |
| Relation: | GAPS (648913); MTM2014- 57838-C2-2-P. C.P; PID2020-113523GB-I00; PID2020-116398GB-I00. C.P.; CEX2019-000904-S; QUITEMAD+- CM (P2018/TCS4342); CEX2019- 000904-S; DMS 1800872; Raise-TAG183917; info:eu-repo/grantAgreement/EC/H2020/Number of agreement; 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.; https://hdl.handle.net/20.500.14352/71790 |
| DOI: | 10.1016/j.jfa.2022.109708 |
| الاتاحة: | https://hdl.handle.net/20.500.14352/71790 https://doi.org/10.1016/j.jfa.2022.109708 |
| Rights: | Atribución 3.0 España ; https://creativecommons.org/licenses/by/3.0/es/ ; open access |
| رقم الانضمام: | edsbas.5DE7961A |
| قاعدة البيانات: | BASE |
| تدمد: | 00221236 |
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| DOI: | 10.1016/j.jfa.2022.109708 |