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 …

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 …

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 derive an analytical lower bound for the concurrence of a bipartite quantum state in
arbitrary dimension. A functional relation is established relating concurrence, the Peres …

We give an explicit tight lower bound for the entanglement of formation for arbitrary bipartite
mixed states by using the convex hull construction of a certain function. This is achieved by …

A family of separability criteria based on correlation matrix (tensor) is provided. Interestingly,
it unifies several criteria known before like, eg, computable cross-norm or realignment …

We show that any state that violates the computable cross norm (or realignment) criterion for
separability also violates the separability criterion of the local uncertainty relations. The …

Quantum entanglement is the core resource in quantum information processing and
quantum computing. It is a significant challenge to effectively characterize the entanglement …

We present separability criteria for both bipartite and multipartite quantum states. These
criteria include the criteria based on the correlation matrix and its generalized form as …

Boson Sampling is the problem of sampling from the same output probability distribution as
a collection of indistinguishable single photons input into a linear interferometer. It has been …