Data management systems, like database, information extraction, information retrieval or learning systems, store, organize, index, retrieve and rank information units, such as tuples, objects, documents, items to match a pattern (e.g. classes and profiles) or meet a requirement (e.g., relevance, usefulness and utility). To this end, these systems rank information units by probability to decide ...

The importance of feedback control is being increasingly appreciated in quantum physics and applications. This paper describes the use of optimal control methods in the design of quantum feedback control systems, and in particular the paper formulates and solves a risk-sensitive optimal control problem. The resulting risk-sensitive optimal control is given in terms of a new unnormalized conditi...

Relativistic quantum field theories (RQFTs) are invariant under the action of the Poincaré group, the symmetry group of Minkowski spacetime. Non-relativistic quantum field theories (NQFTs) are invariant under the action of the symmetry group of a classical spacetime; i.e., a spacetime that minimally admits absolute spatial and temporal metrics. This essay is concerned with cashing out two impli...

BACKGROUND Nanotechnology is developed to convert research, prevention, and treatment of cancer through the novel diagnostic imaging techniques and therapies. In particular, the imaging nanotechnology has gained substantial momentum in recent years. The main progress in nanotechnology has led to the production of novel fluorescent probes named quantum dots (QDs). Quantum dots develop a revoluti...

We investigate quantum aspects of Gopakumar-Minwalla-Strominger (GMS) solutions of noncommutative field theory (NCFT) at large noncommutativity limit, θ → ∞. Building upon a quantitative map between operator formulation of 2(respectively, (2+1)-) dimensional NCFTs and large N matrix models of c = 0 (respectively, c = 1) noncritical strings, we show that GMS solutions are quantum mechanically se...