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 …

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 present several entanglement criteria in terms of the quantum Fisher information that
help to relate various forms of multipartite entanglement to the sensitivity of phase …

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 …

This Colloquium examines the field of the Einstein, Podolsky, and Rosen (EPR) gedanken
experiment, from the original paper of Einstein, Podolsky, and Rosen, through to modern …

The Heisenberg-Robertson uncertainty relation expresses a limitation in the possible
preparations of the system by giving a lower bound to the product of the variances of two …

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

We provide a class of inequalities whose violation shows the presence of entanglement in
two-mode systems. We initially consider observables that are quadratic in the mode creation …