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

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Physical Review B. American Physical Society (APS). 2021, 104(19), 195421. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.104.195421

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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.

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ISO 690MUTTER, Philipp M., Guido BURKARD, 2021. All-electrical control of hole singlet-triplet spin qubits at low-leakage points. In: Physical Review B. American Physical Society (APS). 2021, 104(19), 195421. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.104.195421
BibTex
@article{Mutter2021Allel-55767,
  year={2021},
  doi={10.1103/PhysRevB.104.195421},
  title={All-electrical control of hole singlet-triplet spin qubits at low-leakage points},
  number={19},
  volume={104},
  issn={2469-9950},
  journal={Physical Review B},
  author={Mutter, Philipp M. and Burkard, Guido},
  note={Article Number: 195421}
}
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    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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