This is a review devoted to the complementarity–contextuality interplay with connection to
the Bell inequalities. Starting the discussion with complementarity, I point to contextuality as …

The Church-Turing thesis (or Turing-Church thesis) is a fundamental claim in the theory of
computability. It was advanced independently by Church and Turing in the mid 1930s. There …

The generation of random numbers via quantum processes is an efficient and reliable
method to obtain true indeterministic random numbers that are of vital importance to …

Computing systems are everywhere today. Even the brain is thought to be a sort of
computing system. But what does it mean to say that a given organ or system computes …

Pseudo-random number generators are widely used in many branches of science, mainly in
applications related to Monte Carlo methods, although they are deterministic in design and …

The quantum random number generation exploits inherent randomness of quantum
mechanical processes and measurements. The real-time generation rate of quantum …

Contextuality and entanglement are valuable resources for quantum computing and
quantum information. Bell inequalities are used to certify entanglement; thus, it is important …

We construct a class of three-dimensional photonic quantum random number generators
(QRNGs) and prove that each of them generates maximally unpredictable digits via …

In this paper we propose a new ternary QRNG based on measuring located value indefinite
observables with probabilities 1/4, 1/2, 1/4 and prove that every sequence generated is …

Quantum random number generator (QRNG) based on the inherent randomness of
fundamental quantum processes can provide provable true random numbers which play an …