2026-06-08T09:51:59Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/244832024-07-15T12:04:28Zcom_20.500.14352_14col_20.500.14352_15

Sampling Quantum Nonlocal Correlations with High Probability González Guillén, C. E. Jiménez, C. H. Palazuelos Cabezón, Carlos Villanueva Díez, Ignacio 517 Análisis matemático 1202 Análisis y Análisis Funcional It is well known that quantum correlations for bipartite dichotomic measurements are those of the form (Formula presented.), where the vectors ui and vj are in the unit ball of a real Hilbert space. In this work we study the probability of the nonlocal nature of these correlations as a function of (Formula presented.), where the previous vectors are sampled according to the Haar measure in the unit sphere of (Formula presented.). In particular, we prove the existence of an (Formula presented.) such that if (Formula presented.), (Formula presented.) is nonlocal with probability tending to 1 as (Formula presented.), while for (Formula presented.), (Formula presented.) is local with probability tending to 1 as (Formula presented.). Ministerio de Economía, Comercio y Empresa (España) Comunidad de Madrid Ramón y Cajal” program and ICMAT Severo Ochoa Consejo Nacional de Ciencia y Tecnologίa (México) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T06:52:54Z 2023-06-18T06:52:54Z 2016 journal article https://hdl.handle.net/20.500.14352/24483 0010-3616 10.1007/s00220-016-2625-8 eng MTM2011-26912, MTM2012- 30748, MTM2014-54240-P QUITEMAD+-CM (S2013/ICE-2801) SEV-2015-0554 Grant 180486. González Guillén, C. E., Jiménez, C. H., Palazuelos Cabezón, C. et al. «Sampling Quantum Nonlocal Correlations with High Probability». Communications in Mathematical Physics, vol. 344, n.o 1, mayo de 2016, pp. 141-54. DOI.org (Crossref), https://doi.org/10.1007/s00220-016-2625-8. restricted access application/pdf application/pdf Springer