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 …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

Mutually unbiased bases for quantum degrees of freedom are central to all theoretical
investigations and practical exploitations of complementary properties. Much is known about …

This book gives a unified introduction to the rapidly developing area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …

Magic (nonstabilizerness) is a necessary but “expensive” kind of “fuel” to drive universal fault-
tolerant quantum computation. To properly study and characterize the origin of quantum …

Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty
relations in particular have gained significant importance within quantum information …

Characterization of quantum dynamics is a fundamental problem in quantum physics and
quantum-information science. Several methods are known which achieve this goal, namely …

In the quantum-Bayesian interpretation of quantum theory (or QBism), the Born rule cannot
be interpreted as a rule for setting measurement-outcome probabilities from an objective …

The original Wigner function provides a way of representing in phase space the quantum
states of systems with continuous degrees of freedom. Wigner functions have also been …