2011/07/01 by Antonio Di Lorenzo, Di Lorenzo, Antonio
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1107.0302
openalex publication_date 2011/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Entanglement is one of the most intriguing features of quantum mechanics. It\ngives rise to peculiar correlations which cannot be reproduced by a large class\nof alternative theories, the so-called hidden-variable models, that use\nparameters in addition to the wave-function. This incompatibility was\nquantified through the celebrated Bell inequalities, and more recently through\nnew inequalities due to Leggett. Experiments confirm the predictions of quantum\nmechanics. However, this does not imply that quantum mechanics is the ultimate\ntheory, unsusceptible of improvement, nor that quantum mechanics is essentially\nnon-local. The theories ruled out by Bell and Leggett inequalities are required\nto satisfy some hypotheses, none of which is implied by locality alone. By\ndropping one or more hypotheses, it is possible not only to violate said\ninequalities, but to reproduce the quantum mechanical predictions altogether.\nSo far, the models proposed were only mathematical constructs. In this paper we\nprovide a classical realization of two of these models, using local classical\nresources, without recurring to any type of communication among the involved\nparties. The resources consist in two baseballs, two bats, and a number of\nsynchronized watches. Our results demonstrate the possibility of reproducing\nthe quantum mechanical correlations, and even creating stronger correlations\nwhich provide the maximum violation of the Bell inequality, beyond the\nCirel'son bound for quantum mechanics.\n