An operational definition is provided, from which it is proved that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality.Expand

It is shown that finding optimal quantum circuits is essentially equivalent to finding the shortest path between two points in a certain curved geometry, recasting the problem of finding quantum circuits as a geometric problem.Expand

The purview of cavity QED will continue to grow as researchers build on a rich infrastructure to attack some of the most pressing open questions in micro- and mesoscopic physics.Expand

We introduce a family of separability criteria that are based on the existence of extensions of a bipartite quantum state rho to a larger number of parties satisfying certain symmetry properties. It… Expand

A synthesis theory for linear dynamical quantum stochastic systems that are encountered in linear quantum optics and in phenomenological models of linear quantum circuits will enable the systematic realization of coherent/fully quantum linear Stochastic controllers for quantum control, amongst other potential applications.Expand

We present a formulation of feedback in quantum systems in which the best estimates of the dynamical variables are obtained continuously from the measurement record, and fed back to control the… Expand

This work shows how to design families of operational criteria that distinguish entangled from separable quantum states, and provides an explicit construction of the corresponding entanglement witnesses.Expand

A de Finetti theorem is proved for a special class of real symmetric matrices to establish the existence of approximate representing measures for moment matrix relaxations of semi-definite programming relaxations for the problem of polynomial optimization on the hypersphere.Expand

We describe a protocol for continuously protecting unknown quantum states from decoherence that incorporates design principles from both quantum error correction and quantum feedback control. Our… Expand

Over the past decade we have seen an explosion of demonstrations of quantum coherence in atomic, optical and condensed matter systems. These developments have placed a new emphasis on the production… Expand