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 …

This paper studies the class of stochastic maps, or channels, for which (I⊗ Φ)(Γ) is always
separable (even for entangled Γ). Such maps are called entanglement breaking, and can …

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 report new results and generalizations of our work on unextendible product bases
(UPB), uncompletable product bases and bound entanglement. We present a new …

We give an explicit expression for the entanglement of formation for isotropic density
matrices in arbitrary dimensions in terms of the convex hull of a simple function. For two …

We exhibit a two-parameter family of bipartite mixed states ρ bc, in ad⊗ d Hilbert space,
which are negative under partial transposition (NPT), but for which we conjecture that no …

We investigate questions related to the set SEP d consisting of the linear maps ρ acting on C
d⊗ C d that can be written as a convex combination of rank one matrices of the form xx⁎⊗ …

We show that the length of a qubit-qutrit separable state is equal to max (r, s), where r is the
rank of the state and s the rank of its partial transpose. We refer to the ordered pair (r, s) as …

One of the most important problems in quantum information is the separability problem,
which asks whether a given quantum state is separable. We investigate multipartite states of …

Quantum discord is usually referred to as a measure for quantum correlations. In the search
of the fundamental resource to gain a quantum advantage in quantum information …