Crosstalk error correction through dynamical decoupling of single-qubit gates in capacitively coupled singlet-triplet semiconductor spin qubits

TL;DR

This paper introduces dynamically-corrected pulse sequences for singlet-triplet spin qubits that effectively mitigate magnetic, charge noise, and crosstalk, enhancing multi-qubit operation fidelity.

Contribution

It develops a comprehensive set of pulse sequences to cancel noise and crosstalk in singlet-triplet qubits, applicable to all single-qubit Clifford gates.

Findings

Corrected gates show reduced error rates compared to uncorrected ones.

Error estimates depend on noise levels and capacitive coupling.

Protocols are crucial for scalable multi-qubit quantum computing.

Abstract

In addition to magnetic field and electric charge noise adversely affecting spin qubit operations, performing single-qubit gates on one of multiple coupled singlet-triplet qubits presents a new challenge---crosstalk, which is inevitable (and must be minimized) in any multiqubit quantum computing architecture. We develop a set of dynamically-corrected pulse sequences that are designed to cancel the effects of both types of noise (i.e., field and charge) as well as crosstalk to leading order, and provide parameters for these corrected sequences for all 24 of the single-qubit Clifford gates. We then provide an estimate of the error as a function of the noise and capacitive coupling to compare the fidelity of our corrected gates to their uncorrected versions. Dynamical error correction protocols presented in the current work are important for the next generation of singlet-triplet qubit devices where coupling among many qubits will become relevant.