Testing microscopic discretization release_phlhh2wp4bfhtkpzzuzx7q5cce

by Miguel Navascues, David Perez-Garcia, Ignacio Villanueva

Released as a article .

2012  

Abstract

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.
In text/plain format

Archived Files and Locations

application/pdf  463.4 kB
file_hzzhk6ag4vearmaqc6vz7einjq
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2012-01-19
Version   v2
Language   en ?
arXiv  1110.2394v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 11cd5519-7cb6-4901-936c-8127bc77a818
API URL: JSON