6533b86cfe1ef96bd12c838c

RESEARCH PRODUCT

Time-optimal control of SU(2) quantum operations

Steffen J. GlaserA. GaronDominique Sugny

subject

PhysicsQuantum PhysicsClassical mechanicsOptimal trajectoryFOS: Physical sciencesState (functional analysis)Control (linguistics)Time optimalQuantum Physics (quant-ph)QuantumAtomic and Molecular Physics and OpticsSpecial unitary groupPontryagin's minimum principle

description

We propose an analysis of the time-optimal control of SU(2) quantum operations. By using the Pontryagin Maximum Principle, we show how to determine the optimal trajectory reaching a given target state. Explicit analytical solutions are given for two specific examples. We discuss the role of the detuning in the construction of the optimal synthesis.

https://dx.doi.org/10.48550/arxiv.1310.5226