Abstract
Randomness plays a central role 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.
Highlights
The empirical success of quantum mechanics in the description of microscopic phenomena is impressive
Quantum physics has put at the reach of our hands the limitations of our imagination, of our capacity to describe employing words this microscopic world
If we insist in having well defined objects in the quantum domain, they must have very strange properties: a measurement of an observable property in one part of a quantum system is correlated with the outcome of a different measurement realized in other part of the system in a way which can be described as non-local, contextual and at random
Summary
The empirical success of quantum mechanics in the description of microscopic phenomena is impressive. Within this theoretical framework we can, instead of just talking about random and non-random strings, ask: what is the smallest number of symbols necessary to print a given sequence? The least number of symbols is called the algorithmic information content of the sequence.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
