Quantum multiobservable control

Raj Chakrabarti, Rebing Wu, Herschel Rabitz

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

We present deterministic algorithms for the simultaneous control of an arbitrary number of quantum observables. Unlike optimal control approaches based on cost function optimization, quantum multiobservable tracking control (MOTC) is capable of tracking predetermined homotopic trajectories to target expectation values in the space of multiobservables. The convergence of these algorithms is facilitated by the favorable critical topology of quantum control landscapes. Fundamental properties of quantum multiobservable control landscapes, including the MOTC Gramian matrix, are introduced. The effects of multiple control objectives on the structure and complexity of optimal fields are examined. With minor modifications, the techniques described herein can be applied to general quantum multiobjective control problems.

Original languageEnglish (US)
Article number063425
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number6
DOIs
StatePublished - Jun 30 2008

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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