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 …

We provide necessary and sufficient conditions for separability of mixed states of n-particle
systems. The conditions are formulated in terms of maps which are positive on product …

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 propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …

Advances in isolating, controlling and entangling quantum systems are transforming what
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …

Multiphoton interference reveals strictly nonclassical phenomena. Its applications range
from fundamental tests of quantum mechanics to photonic quantum information processing …

The generation, manipulation and fundamental understanding of entanglement lies at the
very heart of quantum mechanics. Entangled particles are non-interacting but are described …

Entanglement is an important resource for quantum technologies. There are many ways
quantum systems can be entangled, ranging from the two-qubit case to entanglement in …

The uncertainty principle, originally formulated by Heisenberg, clearly illustrates the
difference between classical and quantum mechanics. The principle bounds the …