Fast control of semiconductor qubits beyond the rotating-wave approximation

TL;DR

This paper demonstrates how to perform much faster single-qubit gates in semiconductor qubits by going beyond the rotating wave approximation, using only two simple sinusoidal pulses without complex control sequences.

Contribution

It introduces a new method for fast qubit control beyond RWA, enabling significant speedups with minimal pulse complexity in semiconductor qubits.

Findings

Gate speeds increased by 100-1000 times beyond RWA

Standard RWA pulses incur significant errors in current experiments

Proposed method achieves high-fidelity gates with strong coupling regimes

Abstract

We present a theoretical study of single-qubit operations by oscillatory fields on various semiconductor platforms. We explicitly show how to perform faster gate operations by going beyond the universally-used rotating wave approximation (RWA) regime, while using only two sinusoidal pulses. No complicated pulse shaping or optimal control sequences are required. We first show for specific published experiments how much error is currently incurred by implementing pulses designed using standard RWA. We then show that an even modest increase in gate speed would cause problems in using RWA for gate design in the singlet-triplet (ST) and resonant-exchange (RX) qubits. We discuss the extent to which analytically keeping higher orders in the perturbation theory would address the problem. More strikingly, we give a new prescription for gating with strong coupling far beyond the RWA regime. We perform numerical calculations for the phases and the durations of two consecutive pulses to realize the key Hadamard and $\frac{\pi}{8}$ gates with coupling strengths up to several times the qubit splitting. Working in this manifestly non-RWA regime, the gate operation speeds up by two to three orders of magnitude.