Control of Quantum Systems

dc.creatorClark, John W.
dc.creatorLucarelli, Dennis G.
dc.creatorTarn, Tzyh-Jong
dc.date2002-05-01
dc.date.accessioned2026-07-07T10:50:50Z
dc.date.available2026-07-07T10:50:50Z
dc.descriptionA quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed against the background of recent ideas and advances in two seemingly disparate endeavors: (i) laser control of chemical reactions and (ii) quantum computation. Using Lie-algebraic methods, sufficient conditions have been derived for global controllability on a finite-dimensional manifold of an infinite-dimensional Hilbert space, in the case that the Hamiltonian and control operators, possibly unbounded, possess a common dense domain of analytic vectors. Some simple examples are presented. A synergism between quantum control and quantum computation is creating a host of exciting new opportunities for both activities. The impact of these developments on computational many-body theory could be profound.
dc.identifierhttps://arxiv.org/abs/nucl-th/0205005
dc.identifierhttp://arxiv.org/abs/nucl-th/0205005
dc.identifierInt.J.Mod.Phys.B17:5397-5412,2003
dc.identifierdoi:10.1142/S021797920302051X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184662
dc.subjectNuclear Theory
dc.titleControl of Quantum Systems
dc.typetext

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