Ultrafast Holonomic Quantum Gates

TL;DR

This paper introduces a fast, robust nonadiabatic holonomic quantum gate scheme using detuned interactions in a three-level system, optimized for superconducting circuits to enhance fault-tolerance.

Contribution

It combines time-optimal control with detuning adjustments to significantly shorten gate times and improve robustness in holonomic quantum computation.

Findings

Gate time greatly shortened within hardware limits

Enhanced robustness compared to previous schemes

Feasible implementation on superconducting circuits

Abstract

Quantum computation based on geometric phase is generally believed to be more robust against certain errors or noises than the conventional dynamical strategy. However, the gate error caused by the decoherence effect is inevitable, and thus faster gate operations are highly desired. Here, we propose a nonadiabatic holonomic quantum computation (NHQC) scheme with detuned interactions on $\Delta$-type three-level system, which combines the time-optimal control technique with the time-independent detuning adjustment to further accelerate universal gate operations, {so that the gate-time can be greatly shortened within the hardware limitation}, and thus high-fidelity gates can be obtained. Meanwhile, our numerical simulations show that the gate robustness is also stronger than previous schemes. Finally, we present an implementation of our proposal on superconducting quantum circuits, with a decoherence-free subspace encoding, based on the experimentally demonstrated parametrically tunable coupling technique, which simplifies previous investigations. Therefore, our protocol provides a more promising alternative for future fault-tolerant quantum computation.