Fast and Robust Non-Adiabatic Holonomic Gates for Qutrit Systems

• URL: http://arxiv.org/abs/2510.05905v1
• Date: Tue, 07 Oct 2025 13:17:21 GMT
• Title: Fast and Robust Non-Adiabatic Holonomic Gates for Qutrit Systems
• Authors: Jie Lu, Jie-Dong Huang, Yang Qian, Ying Yan,
• Abstract summary: We implement non-adiabatic holonomic quantum computing (NHQC) in qutrit systems under realistic error sources.<n>We derive analytical conditions that suppress second-order Rabi errors through tailored pulse parameters.<n>Our analysis reveals the cancellation from the compensation pulse, which ensures robust gate operations.
• Score: 12.663551903289543
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Motivated by shortcuts to adiabaticity, we develop a framework that combines inverse engineering with time-dependent perturbation theory to implement non-adiabatic holonomic quantum computing (NHQC) in qutrit systems under realistic error sources. We derive analytical conditions that suppress second-order Rabi errors through tailored pulse parameters and eliminate detuning errors via a compensation pulse. Our analysis reveals the cancellation from the compensation pulse, which ensures robust gate operations. The proposed approach, broadly applicable to superconducting qubits, trapped ions, and atom-based platforms, provides a pathway to fast and error-resilient holonomic gates, potentially for scalable quantum computing.

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