2026-06-08T01:07:16Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/244832024-07-15T12:04:28Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
González Guillén, C. E.
author
Jiménez, C. H.
author
Palazuelos Cabezón, Carlos
author
Villanueva Díez, Ignacio
2023-06-18T06:52:54Z
2023-06-18T06:52:54Z
2016
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.
0010-3616
10.1007/s00220-016-2625-8
https://hdl.handle.net/20.500.14352/24483
https//doi.org/10.1007/s00220-016-2625-8
http://link.springer.com/article/10.1007%2Fs00220-016-2625-8
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.).
eng
Sampling Quantum Nonlocal Correlations with High Probability
journal article
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https://docta.ucm.es/bitstreams/278dcfaf-9aa3-4afb-a572-0a340f075aad/download
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Palazuelos 3libre.pdf
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Palazuelos3.pdf