Super-Robust Nonadiabatic Holonomic Quantum Computation in coherence-protected Superconducting Circuits

TL;DR

This paper introduces a super-robust nonadiabatic holonomic quantum computation scheme in superconducting circuits that significantly enhances error resistance and mitigates decoherence by operating within a decoherence-free subspace.

Contribution

It proposes a novel SR-NHQC scheme in DFS using capacitance-coupled transmon qubits, improving robustness against control errors and decoherence in scalable superconducting quantum systems.

Findings

Demonstrates robustness against global control errors

Shows improved decoherence mitigation over conventional NHQC

Validates practicality through numerical simulations

Abstract

The schmeme of nonadiabatic holonomic quantum computation (NHQC) offers an error-resistant method for implementing quantum gates, capable of mitigating certain errors. However, the conventional NHQC schemes often entail longer operations concerning standard gate operations, making them more vulnerable to the effects of quantum decoherence. In this research, we propose an implementation of the Super-Robust NHQC scheme within the Decoherence-Free Subspace (DFS). SR-NHQC has demonstrated robustness against Global Control Errors (GCEs). By utilizing capacitance-coupled transmon qubits within a DFS, our approach enables universal gate operations on a scalable two-dimensional square lattice of superconducting qubits. Numerical simulations demonstrate the practicality of SR-NHQC in DFS, showcasing its superiority in mitigating GCEs and decoherence effects compared to conventional NHQC schemes. Our work presents a promising strategy for advancing the reliability of quantum computation in real-world applications.