Dynamical-decoupling-protected nonadiabatic holonomic quantum computation

TL;DR

This paper proposes a protocol combining nonadiabatic holonomic quantum computation with dynamical decoupling to enhance robustness against control errors and environmental decoherence, advancing high-fidelity quantum gate implementation.

Contribution

It introduces a novel protocol that integrates dynamical decoupling with nonadiabatic holonomic quantum computation for improved quantum gate robustness.

Findings

Protocol effectively protects against control errors.

Protocol shields quantum gates from decoherence.

Enhanced fidelity in quantum gate operations.

Abstract

The main obstacles to the realization of high-fidelity quantum gates are the control errors arising from inaccurate manipulation of a quantum system and the decoherence caused by the interaction between the quantum system and its environment. Nonadiabatic holonomic quantum computation allows for high-speed implementation of whole-geometric quantum gates, making quantum computation robust against control errors. Dynamical decoupling provides an effective method to protect quantum gates against environment-induced decoherence, regardless of collective decoherence or independent decoherence. In this paper, we put forward a protocol of nonadiabatic holonomic quantum computation protected by dynamical decoupling . Due to the combination of nonadiabatic holonomic quantum computation and dynamical decoupling, our protocol not only possesses the intrinsic robustness against control errors but also protects quantum gates against environment-induced decoherence.