Action-Noise-Assisted Quantum Control

TL;DR

This paper investigates how action noise impacts quantum control protocols, showing that noise degrades fidelity especially in shorter protocols, and proposes inducing stronger dephasing to improve outcomes.

Contribution

It introduces a framework for understanding action noise effects on quantum control and suggests a method to counteract fidelity loss by manipulating dephasing rates.

Findings

Action noise causes dephasing and reduces fidelity.

Shorter protocols are more affected by noise.

Enhancing dephasing can improve control fidelity.

Abstract

We study the effect of action noise on state-to-state control protocols. Action noise creates dephasing in the instantaneous eigenbasis of the Hamiltonian and hampers the fidelity of the final state with respect to the target state. We find that for shorter protocols the noise more strongly influences the dynamics and degrades fidelity. We suggest improving the fidelity by inducing stronger dephasing rates along the process. The effects of action noise on the dynamics and its manipulation is described for a general Hamiltonian and is then studied by examples.