Dynamically corrected gates from geometric space curves

TL;DR

This paper reviews a geometric approach to designing control fields for quantum systems that can dynamically correct errors, enabling high-fidelity quantum gate operations despite noise and decoherence.

Contribution

It introduces a general technique linking quantum evolution to geometric space curves for designing error-correcting control fields.

Findings

Provides a global solution space for control fields

Facilitates the design of experimentally feasible quantum gates

Enhances robustness of quantum operations against noise

Abstract

Quantum information technologies demand highly accurate control over quantum systems. Achieving this requires control techniques that perform well despite the presence of decohering noise and other adverse effects. Here, we review a general technique for designing control fields that dynamically correct errors while performing operations using a close relationship between quantum evolution and geometric space curves. This approach provides access to the global solution space of control fields that accomplish a given task, facilitating the design of experimentally feasible gate operations for a wide variety of applications.