Adiabatic two-qubit gates in capacitively coupled quantum dot hybrid qubits

TL;DR

This paper proposes an adiabatic two-qubit gate for quantum dot hybrid qubits that achieves high fidelity by using a dynamical sweet spot, overcoming the challenge of charge noise without requiring a conventional sweet spot.

Contribution

It introduces the concept of a dynamical sweet spot for adiabatic gates and demonstrates a pulse sequence that improves fidelity by five times, advancing quantum dot qubit control.

Findings

Achieved ~99% fidelity for CZ gates under charge noise.

Developed a pulse sequence that creates an approximate dynamical sweet spot.

Fidelity improvement by a factor of 5 using the proposed method.

Abstract

The ability to tune qubits to flat points in their energy dispersions ("sweet spots") is an important tool for mitigating the effects of charge noise and dephasing in solid-state devices. However, the number of derivatives that must be simultaneously set to zero grows exponentially with the number of coupled qubits, making the task untenable for as few as two qubits. This is a particular problem for adiabatic gates, due to their slower speeds. Here, we propose an adiabatic two-qubit gate for quantum dot hybrid qubits, based on the tunable, electrostatic coupling between distinct charge configurations. We confirm the absence of a conventional sweet spot, but show that controlled-Z (CZ) gates can nonetheless be optimized to have fidelities of $\sim$99% for a typical level of quasistatic charge noise ($\sigma_\varepsilon$$\simeq$1 $\mu$eV). We then develop the concept of a dynamical sweet spot (DSS), for which the time-averaged energy derivatives are set to zero, and identify a simple pulse sequence that achieves an approximate DSS for a CZ gate, with a 5$\times$ improvement in the fidelity. We observe that the results depend on the number of tunable parameters in the pulse sequence, and speculate that a more elaborate sequence could potentially attain a true DSS.