All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

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 computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

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 …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

The question of how many entangled or, respectively, separable states there are in the set of
all quantum states is considered. We propose a natural measure in the space of density …

Quantum discord, a kind of quantum correlation, is defined as the difference between
quantum mutual information and classical correlation in a bipartite system. In general, this …

Entanglement of formation is one of three widely studied measures of entanglement of a
general bipartite system. This paper reviews our current understanding of entanglement of …

One of the greatest challenges in the fields of quantum information processing and quantum
technologies is the detailed coherent control over each and every constituent of quantum …