Controllability of open quantum systems with Kraus-map dynamics

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dc.creatorWu, Rong
dc.creatorPechen, Alexander
dc.creatorBrif, Constantin
dc.creatorRabitz, Herschel
dc.date2006-11-21
dc.date2007-05-27
dc.date.accessioned2026-07-07T08:55:43Z
dc.date.available2026-07-07T08:55:43Z
dc.descriptionThis paper presents a constructive proof of complete kinematic state controllability of finite-dimensional open quantum systems whose dynamics are represented by Kraus maps. For any pair of states (pure or mixed) on the Hilbert space of the system, we explicitly show how to construct a Kraus map that transforms one state into another. Moreover, we prove by construction the existence of a Kraus map that transforms all initial states into a predefined target state (such a process may be used, for example, in quantum information dilution). Thus, in sharp contrast to unitary control, Kraus-map dynamics allows for the design of controls which are robust to variations in the initial state of the system. The general formalism is illustrated with examples of state-to-state Kraus transformations in a two-level system. In particular, we construct a family of non-unitary Kraus maps, which transform one pure state into another. The problem of dynamic state controllability of open quantum systems (i.e., controllability of state-to-state transformations, given a set of available dynamical resources such as coherent controls, incoherent interactions with the environment, and measurements) is also discussed.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0611215
dc.identifierhttp://arxiv.org/abs/quant-ph/0611215
dc.identifierJ. Phys. A: Math. Theor. 40, 5681 (2007)
dc.identifierdoi:10.1088/1751-8113/40/21/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146362
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleControllability of open quantum systems with Kraus-map dynamics
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