Bell's 1964 theorem, which states that the predictions of quantum theory cannot be
accounted for by any local theory, represents one of the most profound developments in the …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Finally, here is a modern, self-contained text on quantum information theory suitable for
graduate-level courses. Develo** the subject'from the ground up'it covers classical results …

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

Randomness is a fundamental feature of nature and a valuable resource for applications
ranging from cryptography and gambling to numerical simulation of physical and biological …

Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

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

E-commerce, a type of trading that occurs at a high frequency on the internet, requires
guaranteeing the integrity, authentication, and nonrepudiation of messages through long …

The Rényi entropies constitute a family of information measures that generalizes the well-
known Shannon entropy, inheriting many of its properties. They appear in the form of …

Quantum cryptography promises levels of security that are impossible to attain in a classical
world. Can this security be guaranteed to classical users of a quantum protocol, who may …