Optimal control of quantum objects
type: Item
instance of: scholarly article
title: Optimal control of quantum objects
zbMATH Open document ID: 0606.49002
published in: Automation and Remote Control
publication date: 1986-01-01T00:00:00Z
review text: The control of quantum objects is considered by examining the system \[ \partial \psi /\partial t-iH\psi +iu(x)\psi =0, \] \[ \psi |_ s=0 \] (s the boundary of the region considered for all time), \[ \psi |_{t=0}=v(x)\;(\| v\| =1), \] and H is a particular form of partial differential equation. The controls considered are using u(x) (i.e. control by the exterior field) or v(x) (i.e. control using the initial conditions). The control problems considered include finding u(x) so that the system should be in a general state with maximal probability or that the probability of being in a region is minimal. Other problems using v(x) to exercise control (where \(u=0)\) include finding the optimal v so that \(\psi\) is close to a particular \(y\in s.\) The theorems that the various functions can be optimized to give the optimal controls are stated in the main part of the paper and proved in the appendices.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81Q99
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3979872
zbMATH Keywords: control of quantum objects
author: Dinh Nho Hào
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3979872