Quantum Multiobservable Control

Details Quantum Multiobservable Control Quantum Multiobservable Control

2008-05-12

arxiv.org/abs/0805.1556v1

Physics

Quantum Physics

To appear in Physical Review A

Scientific paper

10.1103/PhysRevA.77.063425

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 that underlie the efficiency of MOTC, including the multiobservable controllability Gramian, 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.

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