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Proposed experiment to test fundamentally binary theories

Quantum Physics 2017-09-07 v2

Abstract

Fundamentally binary theories are nonsignaling theories in which measurements of many outcomes are constructed by selecting from binary measurements. They constitute a sensible alternative to quantum theory and have never been directly falsified by any experiment. Here we show that fundamentally binary theories are experimentally testable with current technology. For that, we identify a feasible Bell-type experiment on pairs of entangled qutrits. In addition, we prove that, for any n, quantum n-ary correlations are not fundamentally (n-1)-ary. For that, we introduce a family of inequalities that hold for fundamentally (n-1)-ary theories but are violated by quantum n-ary correlations.

Keywords

Cite

@article{arxiv.1611.05761,
  title  = {Proposed experiment to test fundamentally binary theories},
  author = {Matthias Kleinmann and Tamás Vértesi and Adán Cabello},
  journal= {arXiv preprint arXiv:1611.05761},
  year   = {2017}
}

Comments

5 pages, 3 inequalities, v2: only minor changes

R2 v1 2026-06-22T16:55:58.992Z