Limits of control for quantum systems: kinematical bounds on the optimization of observables and the question of dynamical realizability

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dc.creatorSchirmer, S. G.
dc.creatorLeahy, J. V.
dc.date2000-10-07
dc.date.accessioned2026-07-07T12:37:46Z
dc.date.available2026-07-07T12:37:46Z
dc.descriptionIn this paper we investigate the limits of control for mixed-state quantum systems. The constraint of unitary evolution for non-dissipative quantum systems imposes kinematical bounds on the optimization of arbitrary observables. We summarize our previous results on kinematical bounds and show that these bounds are dynamically realizable for completely controllable systems. Moreover, we establish improved bounds for certain partially controllable systems. Finally, the question of dynamical realizability of the bounds for arbitary partially controllable systems is shown to depend on the accessible sets of the associated control system on the unitary group U(N) and the results of a few control computations are discussed briefly.
dc.description5 pages, orginal June 30, 2000, revised September 28, 2000
dc.identifierhttps://arxiv.org/abs/quant-ph/0010032
dc.identifierhttp://arxiv.org/abs/quant-ph/0010032
dc.identifierPhys.Rev.A63:025403,2001
dc.identifierdoi:10.1103/PhysRevA.63.025403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218555
dc.subjectQuantum Physics
dc.titleLimits of control for quantum systems: kinematical bounds on the optimization of observables and the question of dynamical realizability
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