Optimal tracking for pairs of qubit states

dc.creatorMendonca, Paulo E. M. F.
dc.creatorGilchrist, Alexei
dc.creatorDoherty, Andrew C.
dc.date2008-02-27
dc.date2008-06-03
dc.date.accessioned2026-07-07T10:19:18Z
dc.date.available2026-07-07T10:19:18Z
dc.descriptionIn classical control theory, tracking refers to the ability to perform measurements and feedback on a classical system in order to enforce some desired dynamics. In this paper we investigate a simple version of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends on the choice of preparation. We propose a tracking strategy that is proved to be optimal for any input and target states. Applications in the context of state discrimination, state purification, state stabilization and state-dependent quantum cloning are presented, where existing optimality results are recovered and extended.
dc.description15 pages, 8 figures. Extensive revision of text, optimality results extended, other physical applications included
dc.identifierhttps://arxiv.org/abs/0802.3896
dc.identifierhttp://arxiv.org/abs/0802.3896
dc.identifierPhys. Rev. A, 78, 012319 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.012319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174460
dc.subjectQuantum Physics
dc.titleOptimal tracking for pairs of qubit states
dc.typetext

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