Efficient Implementation of a Single-Qutrit Gate Set via Coherent Control

TL;DR

This paper presents a new coherent control framework for efficiently implementing high-fidelity single-qutrit gates, demonstrated on superconducting transmons, advancing scalable qutrit quantum computing.

Contribution

The authors develop a platform-agnostic coherent control method for fast, high-fidelity single-qutrit gates using SU(3) dynamics, overcoming platform-specific constraints.

Findings

Achieved 35 ns Hadamard and X gates with 99.5% fidelity

Demonstrated quantum circuits for phase estimation and parity check

Proposed scalable protocols for qutrit-based quantum algorithms

Abstract

Qutrit offers the potential for enhanced quantum computation by exploiting an enlarged Hilbert space. However, the synthesis of high-fidelity and fast qutrit gates, particularly for single qutrit, remains an ongoing challenge, as it involves overcoming intrinsic constraints in quantum platforms. Here, we develop a novel framework for the efficient implementation of a single-qutrit gate set via coherent control, leveraging SU(3) dynamics while obviating platform-specific constraints such as arising from the selection rule. As a proof-of-principle demonstration, we realize 35 ns qutrit Hadamard and X gates using a superconducting transmon, achieving an average fidelity of 99.5\%, as verified by randomized benchmarking. We further demonstrate two paradigmatic quantum circuits, which can be naturally extended to scalable qudit algorithms for phase estimation and parity check. By addressing the challenge of efficiently implementing single-qutrit gates, our protocol paves the pathway for realizing high-performance qutrit processors in diverse quantum platforms.