Time-minimal control of dissipative two-level quantum systems: The Integrable case

The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus our analysis on the case where the extremal Hamiltonian is integrable.Comment: 24 pages, 6 figure

Time-Minimal Control of Dissipative Two-level Quantum Systems: the Generic Case

The objective of this article is to complete preliminary results concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by Lindblad equations. The extremal system is described by a 3D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.Comment: 24 pages, 16 figures. submitted to IEEE transactions on automatic contro

Time minimal control of batch reactors

Abstract In this article we consider a control system modelling a batch reactor in which three species X

Energy minimization problem in two-level dissipative quantum control: meridian case

International audienceWe analyze the energy-minimizing problem for a two-level dissipative quantum system described by the Kossakowsky-Lindblad equation. According to the Pontryagin Maximum Principle (PMP), minimizers can be selected among normal and abnormal extremals whose dynamics are classified according to the values of the dissipation parameters. Our aim is to improve our previous analysis concerning 2D solutions in the case where the Hamiltonian dynamics are integrable

Quantum Multiobservable Control

We present deterministic algorithms for the simultaneous control of an arbitrary number of quantum observables. Unlike optimal control approaches based on cost function optimization, quantum multiobservable tracking control (MOTC) is capable of tracking predetermined homotopic trajectories to target expectation values in the space of multiobservables. The convergence of these algorithms is facilitated by the favorable critical topology of quantum control landscapes. Fundamental properties of quantum multiobservable control landscapes that underlie the efficiency of MOTC, including the multiobservable controllability Gramian, are introduced. The effects of multiple control objectives on the structure and complexity of optimal fields are examined. With minor modifications, the techniques described herein can be applied to general quantum multiobjective control problems.Comment: To appear in Physical Review

Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance

The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal solutions of the Pontryagin Maximum Principle applied to this Mayer type optimal problem. Such trajectories are associated to the question of extremizing the transfer time. Hence the optimal problem is reduced to the analysis of the Hamiltonian dynamics related to singular extremals and their optimality status. This is illustrated by using the examples of cerebrospinal fluid / water and grey / white matter of cerebrum.Comment: 30 pages, 13 figur

Care of newly purchased feeder cattle (1993)

The way cattle are handled shortly before loading, during hauling, and the first two weeks in the feedlot has a great influence on the overall performance of feedlot cattle. There is no one program that will give best results for all feeder cattle, nor will the same results occur each year. "Cattle sense" is developed by close observation and experience

Care of newly purchased feeder cattle

"The way cattle are handled shortly before loading, during hauling and the first two weeks in the feedlot has a great influence on the overall performance of feedlot cattle. There is no one program that will give best results for all feeder cattle, nor will the same results occur each year. "Cattle sense" is developed by close observation and experience. Keep records on each bunch of cattle. These records will be useful in helping you provide the most practical and economical program for the next group of incoming cattle. Develop a program which fits your operation and area. Post mortem examinations are worthwhile in ascertaining problems and the results should be considered for future health and management programs. The following are general guidelines which should be helpful to you in deciding how to handle newly purchased feeder cattle."--First page.Bonnard L. Moseley, DVM, (School of Veterinary Medicine) and Homer B. Sewell (Department of Animal Science College of Agriculture)Revised 5/90/5