English

Quantumness, Randomness and Computability

Quantum Physics 2015-08-11 v1

Abstract

Randomness plays a central rol in the quantum mechanical description of our interactions. We review the relationship between the violation of Bell inequalities, non signaling and randomness. We discuss the challenge in defining a random string, and show that algorithmic information theory provides a necessary condition for randomness using Borel normality. We close with a view on incomputablity and its implications in physics.

Keywords

Cite

@article{arxiv.1508.02360,
  title  = {Quantumness, Randomness and Computability},
  author = {Aldo Solis and Jorge G. Hirsch},
  journal= {arXiv preprint arXiv:1508.02360},
  year   = {2015}
}

Comments

12 pages, Proc. of International Conference on Quantum Control, Exact or Perturbative, Linear or Nonlinear to celebrate 50 years of the scientific career of Professor Bogdan Mielnik (Mielnik50) 22-24 October 2014, Mexico City, Mexico

R2 v1 2026-06-22T10:30:21.125Z