Quantum cryptography is arguably the fastest growing area in quantum information science.
Novel theoretical protocols are designed on a regular basis, security proofs are constantly …

How can one prove that a given quantum state is entangled? In this paper we review
different methods that have been proposed for entanglement detection. We first explain the …

Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

We formally link the concept of steering (a concept created by Schrödinger but only recently
formalized by Wiseman, Jones, and Doherty [Phys. Rev. Lett. 98, 140402 (2007)]) and the …

A bstract Relative entropy between two states in the same Hilbert space is a fundamental
statistical measure of the distance between these states. Relative entropy is always positive …

From the physical point of view entanglement witnesses (EWs) define a universal tool for
analysis and classification of quantum entangled states. From the mathematical perspective …

This introductory textbook is written primarily for undergraduate students of physics,
mathematics, computer science and other related disciplines. It is also expected to be …

We present an exact relationship between the entropy production and the distinguishability
of a process from its time-reverse, quantified by the relative entropy between forward and …

We examine the system-reservoir dynamics of classical and quantum correlations in the
decoherence phenomenon within a two-qubit composite system interacting with two …

This book provides a comprehensive introduction to quantum image processing, which
focuses on extending conventional image processing tasks to the quantum computing …