All-electrical control of hole singlet-triplet spin qubits at low leakage points

TL;DR

This paper explores how spin-orbit interactions and anisotropic g tensors influence hole spin qubits in double quantum dots, enabling electrical control and leakage error reduction through magnetic field tuning.

Contribution

It demonstrates the possibility of canceling coupling effects at specific conditions to avoid leakage and achieve precise electrical control of hole spin qubits.

Findings

Coupling can be canceled at specific detunings and magnetic field angles.

Magnetic field tuning can confine the qubit state within the logical subspace.

Electrical control of spin-orbit effects enables leakage error mitigation.

Abstract

We study the effect of the spin-orbit interaction on heavy holes confined in a double quantum dot in the presence of a magnetic field of arbitrary direction. Rich physics arise as the two hole states of different spin are not only coupled by the spin-orbit interaction but additionally by the effect of site-dependent anisotropic $g$ tensors. It is demonstrated that these effects may counteract in such a way as to cancel the coupling at certain detunings and tilting angles of the magnetic field. This feature may be used in singlet-triplet qubits to avoid leakage errors and implement an electrical spin-orbit switch, suggesting the possibility of task-tailored two-axes control. Additionally, we investigate systems with a strong spin-orbit interaction at weak magnetic fields. By exact diagonalization of the dominant Hamiltonian we find that the magnetic field may be chosen such that the qubit ground state is mixed only within the logical subspace for realistic system parameters, hence reducing leakage errors and providing reliable control over the qubit.