Projector Space Optimization in Quantum Control

Projector Space Optimization in Quantum Control

We investigate in this work the numerical resolution of a quantum control problem; the specificity of the approach is that, instead of searching directly for the optimal laser intensity that drives the system toward its target, we consider here as main variable the evolution semigroup i.e. the set of propagators indexed with time. The precise form of the generator of the semigroup (e.g. dipolar...

Quantum Projector Method on Curved Manifolds

A generalized stochastic method for projecting out the ground state of the quantum many-body Schrödinger equation on curved manifolds is introduced. This random-walk method is of wide applicability to any second order differential equation (first order in time), in any spatial dimension. The technique reduces to determining the proper ‘‘quantum corrections’’ for the Euclidean short-time propaga...

Ab initio nonequilibrium quantum transport and forces with the real-space projector augmented wave method

Projector Phone Interactions: Design Space and Survey

As projector units become smaller, brighter and more energy conserving, they are bound to become an integral part of many mobile phone models in the future. We lay out and discuss the design space of interactions and applications enabled by such devices. Moreover, we focus on the implications of hardware design, discuss possible interaction concepts, describe the most relevant applications area...

Clustering in Hilbert space of a quantum optimization problem

The solution space of many classical optimization problems breaks up into clusters which are extensively distant from one another in the Hamming metric. Here, we show that an analogous quantum clustering phenomenon takes place in the ground state subspace of a certain quantum optimization problem. This involves extending the notion of clustering to Hilbert space, where the classical Hamming dis...