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

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.

12 pages, 7 figures

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Cited by in corpus (7)

• Recent advances in hole-spin qubits
• Dynamics of hole singlet triplet qubits with large g-factor differences
• Quantum control of hole spin qubits in double quantum dots
• Fingerprints of Qubit Noise in Transient Cavity Transmission
• Theory of multi-dimensional quantum capacitance and its application to spin and charge discrimination in quantum-dot arrays
• Theory of qubit noise characterization using the long-time cavity transmission
• Anomalous zero-field splitting for hole spin qubits in Si and Ge quantum dots