Analysis and mitigation of residual exchange coupling in linear spin qubit arrays

TL;DR

This paper investigates how residual exchange coupling affects gate fidelity in linear spin qubit arrays, proposing mitigation strategies and analyzing their effectiveness in larger quantum systems.

Contribution

It provides a comprehensive analysis of residual exchange effects and evaluates mitigation methods, extending insights to larger qubit arrays for improved quantum gate fidelity.

Findings

Residual exchange significantly impacts single-qubit and two-qubit gate fidelities.

Mitigation strategies like timing adjustments can reduce infidelity.

Tradeoffs exist between charge noise effects and residual exchange mitigation.

Abstract

In recent advancements of quantum computing utilizing spin qubits, it has been demonstrated that this platform possesses the potential for implementing two-qubit gates with fidelities exceeding 99.5%. However, as with other qubit platforms, it is not feasible to completely turn qubit couplings off. This study aims to investigate the impact of coherent error matrices in gate set tomography by employing a double quantum dot. We evaluate the infidelity caused by residual exchange between spins and compare various mitigation approaches, including the use of adjusted timing through simple drives, considering different parameter settings in the presence of charge noise. Furthermore, we extend our analysis to larger arrays of exchange-coupled spin qubits to provide an estimation of the expected fidelity. In particular, we demonstrate the influence of residual exchange on a single-qubit $Y$ gate and the native two-qubit SWAP gate in a linear chain. Our findings emphasize the significance of accounting for residual exchange when scaling up spin qubit devices and highlight the tradeoff between the effects of charge noise and residual exchange in mitigation techniques.