Arbitrarily Accurate Dynamical Control in Open Quantum Systems

TL;DR

This paper presents a method using open-loop control to achieve arbitrarily high accuracy in quantum operations by compensating for decoherence, without detailed system-environment knowledge.

Contribution

It introduces a fully analytical, concatenated control scheme that enhances quantum gate fidelity in open quantum systems regardless of environment specifics.

Findings

Achieves perturbative decoherence compensation to high accuracy

Applicable without detailed system-environment interaction knowledge

Addresses implications for improving quantum gate fidelities

Abstract

We show that open-loop dynamical control techniques may be used to synthesize unitary transformations in open quantum systems in such a way that decoherence is perturbatively compensated for to a desired (in principle arbitrarily high) level of accuracy, which depends only on the strength of the relevant errors and the achievable rate of control modulation. Our constructive and fully analytical solution employs concatenated dynamically corrected gates, and is applicable independently of detailed knowledge of the system-environment interactions and environment dynamics. Explicit implications for boosting quantum gate fidelities in realistic scenarios are addressed.