Random numbers are a fundamental resource in science and engineering with important
applications in simulation and cryptography. The inherent randomness at the core of …

Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

The generation of random numbers is a task of paramount importance in modern science. A
central problem for both classical and quantum randomness generation is to estimate the …

Quantum entanglement is a fundamental resource in quantum information processing and
its distribution between distant parties is a key challenge in quantum communications …

Random numbers are commonly used in many different fields, ranging from simulations in
fundamental science to security applications. In some critical cases, as Bell's tests and …

Quantum random number generators can provide genuine randomness by appealing to the
fundamental principles of quantum mechanics. In general, a physical generator contains two …

Bell's inequalities are described by the sums of correlations including non-commuting
observables in each of two systems. Bell's inequalities violation is possible since the …

The uncertainty principle is a striking and fundamental feature in quantum mechanics,
distinguishing it from classical mechanics. It offers an important lower bound to predict …

The uncertainty principle, which demonstrates the intrinsic uncertainty of nature from an
information-theory perspective, is at the heart of quantum information theory. In the realm of …

Random numbers are central to cryptography and various other tasks. The intrinsic
probabilistic nature of quantum mechanics has allowed us to construct a large number of …