RT Journal Article
T1 Testing microscopic discretization
A1 Navascués Cobo, Miguel
A1 Pérez García, David
A1 Villanueva Díez, Ignacio
AB What can we say about the spectra of a collection of microscopic variables when only their coarse-grained sums are experimentally accessible? In this paper, using the tools and methodology from the study of quantum nonlocality, we develop a mathematical theory of the macroscopic fluctuations generated by ensembles of independent microscopic discrete systems. We provide algorithms to decide which multivariate Gaussian distributions can be approximated by sums of finitely valued random vectors. We study non-trivial cases where the microscopic variables have an unbounded range, as well as asymptotic scenarios with infinitely many macroscopic variables. From a foundational point of view, our results imply that bipartite Gaussian states of light cannot be understood as beams of independent d-dimensional particle pairs. It is also shown that the classical description of certain macroscopic optical experiments, as opposed to the quantum one, requires variables with infinite cardinality spectra.
PB IOP Publishing Ltd
SN 1751-8113
YR 2013
FD 2013-03
LK https://hdl.handle.net/20.500.14352/33268
UL https://hdl.handle.net/20.500.14352/33268
LA eng
NO Navascués Cobo, M., Pérez García, D. & Villanueva Díez, I. «Testing microscopic discretization». Journal of Physics A: Mathematical and Theoretical, vol. 46, n.o 8, marzo de 2013, p. 085304. DOI.org (Crossref), https://doi.org/10.1088/1751-8113/46/8/085304.
NO Unión Europea
NO Comunidad de Madrid
NO Templeton Foundation
DS Docta Complutense
RD 7 abr 2025