Control of Inhomogeneous Ensembles on The Bloch Sphere

TL;DR

This paper introduces new analytical pulse elements for controlling inhomogeneous quantum ensembles, achieving superior robustness and faster compensation times compared to existing methods, with applications in spectroscopy and quantum information.

Contribution

The paper presents novel analytical pulse elements that improve robustness and speed in controlling inhomogeneous quantum systems, surpassing Fourier Synthesis Methods.

Findings

Pulse elements enable arbitrarily good robustness.

Time-to-compensation is faster than existing methods.

Applicable to quantum control and spectroscopy.

Abstract

Finding control fields (pulse sequences) that can compensate for the dispersion in the parameters governing the evolution of a quantum system is an important problem in coherent spectroscopy and quantum information processing. The use of composite pulses for compensating for dispersion in system dynamics is widely known and applied. In this paper, we introduce new pulse elements for correcting pulse errors. These design methods are analytical and can be used to prove arbitrarily good robust performance. Furthermore, the time-to-compensation is superior to existing Fourier Synthesis Methods which is critical for minimizing errors due to relaxation effects.