Noise-resilient nonadiabatic geometric quantum computation for bosonic binomial codes

TL;DR

This paper presents a noise-resilient protocol for nonadiabatic geometric quantum computation using bosonic binomial codes in superconducting systems, combining geometric phases with optimal control to enhance error tolerance and robustness.

Contribution

It introduces a novel control protocol that integrates geometric phases, reverse engineering, and optimal control to improve noise resilience in quantum gates with binomial codes.

Findings

High average fidelity of geometric quantum gates achieved in simulations.

Protocol maintains robustness despite parameter fluctuations and decoherence.

Applicable to current superconducting quantum technologies.

Abstract

The binomial code is renowned for its parity-mediated loss immunity and loss-error recoverability, while geometric phases are widely recognized for their intrinsic resilience against noise. Capitalizing on their complementary merits, we propose a noise-resilient protocol to realize Nonadiabatic geometric quantum computation with binomial codes in a superconducting system composed of a microwave cavity %off-resonantly dispersively coupled to a %three-level qutrit. The control field %geometric quantum computation is designed by %combining geometric phases, integrating reverse engineering and optimal control. This design provides a customized control protocol featuring strong error-tolerance and inherent noise-resilience. Using experimentally accessible parameters in superconducting systems, numerical simulations show that the protocol yields relatively high average fidelity for geometric quantum gates based on binomial code, even in the presence of parameter fluctuations and decoherence. Thus, this protocol may provide a practical approach for realizing reliable Nonadiabatic geometric quantum computation with binomial codes in current technology.