---
_id: '10920'
abstract:
- lang: eng
  text: The spin-orbit interaction permits to control the state of a spin qubit via
    electric fields. For holes it is particularly strong, allowing for fast all electrical
    qubit manipulation, and yet an in-depth understanding of this interaction in hole
    systems is missing. Here we investigate, experimentally and theoretically, the
    effect of the cubic Rashba spin-orbit interaction on the mixing of the spin states
    by studying singlet-triplet oscillations in a planar Ge hole double quantum dot.
    Landau-Zener sweeps at different magnetic field directions allow us to disentangle
    the effects of the spin-orbit induced spin-flip term from those caused by strongly
    site-dependent and anisotropic quantum dot g tensors. Our work, therefore, provides
    new insights into the hole spin-orbit interaction, necessary for optimizing future
    qubit experiments.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: "This research was supported by the Scientific Service Units of ISTA
  through resources provided by the MIBA Machine Shop and the nanofabrication facility.
  This project has received funding from the European Union’s Horizon 2020 research
  and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 844511,
  No. 75441, and by the FWF-P 30207, I05060, and M3032-N projects. A. B. acknowledges
  support from the EU Horizon-2020 FET project microSPIRE, ID: 766955. P.M. M. and
  G. B. acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG—German Research
  Foundation) under Project No. 450396347. This work was supported by the Royal Society
  (URF\\R1\\191150) and the European Research Council (Grant Agreement No. 948932),
  N. A. acknowledges the use of the University of Oxford Advanced Research Computing
  (ARC) facility."
article_number: '126803'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Daniel
  full_name: Jirovec, Daniel
  id: 4C473F58-F248-11E8-B48F-1D18A9856A87
  last_name: Jirovec
  orcid: 0000-0002-7197-4801
- first_name: Philipp M.
  full_name: Mutter, Philipp M.
  last_name: Mutter
- first_name: Andrea C
  full_name: Hofmann, Andrea C
  id: 340F461A-F248-11E8-B48F-1D18A9856A87
  last_name: Hofmann
- first_name: Alessandro
  full_name: Crippa, Alessandro
  id: 1F2B21A2-F6E7-11E9-9B82-F7DBE5697425
  last_name: Crippa
  orcid: 0000-0002-2968-611X
- first_name: Marek
  full_name: Rychetsky, Marek
  last_name: Rychetsky
- first_name: David L.
  full_name: Craig, David L.
  last_name: Craig
- first_name: Josip
  full_name: Kukucka, Josip
  id: 3F5D8856-F248-11E8-B48F-1D18A9856A87
  last_name: Kukucka
- first_name: Frederico
  full_name: Martins, Frederico
  id: 38F80F9A-1CB8-11EA-BC76-B49B3DDC885E
  last_name: Martins
  orcid: 0000-0003-2668-2401
- first_name: Andrea
  full_name: Ballabio, Andrea
  last_name: Ballabio
- first_name: Natalia
  full_name: Ares, Natalia
  last_name: Ares
- first_name: Daniel
  full_name: Chrastina, Daniel
  last_name: Chrastina
- first_name: Giovanni
  full_name: Isella, Giovanni
  last_name: Isella
- first_name: 'Guido '
  full_name: 'Burkard, Guido '
  last_name: Burkard
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
citation:
  ama: Jirovec D, Mutter PM, Hofmann AC, et al. Dynamics of hole singlet-triplet qubits
    with large g-factor differences. <i>Physical Review Letters</i>. 2022;128(12).
    doi:<a href="https://doi.org/10.1103/PhysRevLett.128.126803">10.1103/PhysRevLett.128.126803</a>
  apa: Jirovec, D., Mutter, P. M., Hofmann, A. C., Crippa, A., Rychetsky, M., Craig,
    D. L., … Katsaros, G. (2022). Dynamics of hole singlet-triplet qubits with large
    g-factor differences. <i>Physical Review Letters</i>. American Physical Society.
    <a href="https://doi.org/10.1103/PhysRevLett.128.126803">https://doi.org/10.1103/PhysRevLett.128.126803</a>
  chicago: Jirovec, Daniel, Philipp M. Mutter, Andrea C Hofmann, Alessandro Crippa,
    Marek Rychetsky, David L. Craig, Josip Kukucka, et al. “Dynamics of Hole Singlet-Triplet
    Qubits with Large g-Factor Differences.” <i>Physical Review Letters</i>. American
    Physical Society, 2022. <a href="https://doi.org/10.1103/PhysRevLett.128.126803">https://doi.org/10.1103/PhysRevLett.128.126803</a>.
  ieee: D. Jirovec <i>et al.</i>, “Dynamics of hole singlet-triplet qubits with large
    g-factor differences,” <i>Physical Review Letters</i>, vol. 128, no. 12. American
    Physical Society, 2022.
  ista: Jirovec D, Mutter PM, Hofmann AC, Crippa A, Rychetsky M, Craig DL, Kukucka
    J, Martins F, Ballabio A, Ares N, Chrastina D, Isella G, Burkard G, Katsaros G.
    2022. Dynamics of hole singlet-triplet qubits with large g-factor differences.
    Physical Review Letters. 128(12), 126803.
  mla: Jirovec, Daniel, et al. “Dynamics of Hole Singlet-Triplet Qubits with Large
    g-Factor Differences.” <i>Physical Review Letters</i>, vol. 128, no. 12, 126803,
    American Physical Society, 2022, doi:<a href="https://doi.org/10.1103/PhysRevLett.128.126803">10.1103/PhysRevLett.128.126803</a>.
  short: D. Jirovec, P.M. Mutter, A.C. Hofmann, A. Crippa, M. Rychetsky, D.L. Craig,
    J. Kukucka, F. Martins, A. Ballabio, N. Ares, D. Chrastina, G. Isella, G. Burkard,
    G. Katsaros, Physical Review Letters 128 (2022).
date_created: 2022-03-24T15:51:11Z
date_published: 2022-03-24T00:00:00Z
date_updated: 2023-08-03T06:14:58Z
day: '24'
ddc:
- '530'
department:
- _id: GradSch
- _id: GeKa
doi: 10.1103/PhysRevLett.128.126803
ec_funded: 1
external_id:
  arxiv:
  - '2111.05130'
  isi:
  - '000786542500004'
file:
- access_level: open_access
  checksum: 6e66ad548d18db9c131f304acbd5a1f4
  content_type: application/pdf
  creator: dernst
  date_created: 2022-03-28T06:53:39Z
  date_updated: 2022-03-28T06:53:39Z
  file_id: '10928'
  file_name: 2022_PhysRevLetters_Jirovec.pdf
  file_size: 1266515
  relation: main_file
  success: 1
file_date_updated: 2022-03-28T06:53:39Z
has_accepted_license: '1'
intvolume: '       128'
isi: 1
issue: '12'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 26A151DA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '844511'
  name: Majorana bound states in Ge/SiGe heterostructures
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 2641CE5E-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P30207
  name: Hole spin orbit qubits in Ge quantum wells
- _id: c0977eea-5a5b-11eb-8a69-a862db0cf4d1
  grant_number: I05060
  name: High impedance circuit quantum electrodynamics with hole spins
- _id: c08c05c4-5a5b-11eb-8a69-dc6ce49d7973
  grant_number: M03032
  name: Long-range spin exchange for 2D qubits architectures
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Dynamics of hole singlet-triplet qubits with large g-factor differences
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 128
year: '2022'
...
---
_id: '8909'
abstract:
- lang: eng
  text: Spin qubits are considered to be among the most promising candidates for building
    a quantum processor. Group IV hole spin qubits have moved into the focus of interest
    due to the ease of operation and compatibility with Si technology. In addition,
    Ge offers the option for monolithic superconductor-semiconductor integration.
    Here we demonstrate a hole spin qubit operating at fields below 10 mT, the critical
    field of Al, by exploiting the large out-of-plane hole g-factors in planar Ge
    and by encoding the qubit into the singlet-triplet states of a double quantum
    dot. We observe electrically controlled X and Z-rotations with tunable frequencies
    exceeding 100 MHz and dephasing times of 1μs which we extend beyond 15μs with
    echo techniques. These results show that Ge hole singlet triplet qubits outperform
    their electronic Si and GaAs based counterparts in speed and coherence, respectively.
    In addition, they are on par with Ge single spin qubits, but can be operated at
    much lower fields underlining their potential for on chip integration with superconducting
    technologies.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: This research was supported by the Scientific Service Units of Institute
  of Science and Technology (IST) Austria through resources provided by the Miba Machine
  Shop and the nanofabrication facility, and was made possible with the support of
  the NOMIS Foundation. This project has received funding from the European Union’s
  Horizon 2020 research and innovation programme under Marie Sklodowska-Curie grant
  agreements no. 844511 and no. 75441, and by the Austrian Science Fund FWF-P 30207
  project. A.B. acknowledges support from the European Union Horizon 2020 FET project
  microSPIRE, no. 766955. M. Botifoll and J.A. acknowledge funding from Generalitat
  de Catalunya 2017 SGR 327. The Catalan Institute of Nanoscience and Nanotechnology
  (ICN2) is supported by the Severo Ochoa programme from the Spanish Ministery of
  Economy (MINECO) (grant no. SEV-2017-0706) and is funded by the Catalonian Research
  Centre (CERCA) Programme, Generalitat de Catalunya. Part of the present work has
  been performed within the framework of the Universitat Autónoma de Barcelona Materials
  Science PhD programme. Part of the HAADF scanning transmission electron microscopy
  was conducted in the Laboratorio de Microscopias Avanzadas at Instituto de Nanociencia
  de Aragon, Universidad de Zaragoza. ICN2 acknowledge support from the Spanish Superior
  Council of Scientific Research (CSIC) Research Platform on Quantum Technologies
  PTI-001. M.B. acknowledges funding from the Catalan Agency for Management of University
  and Research Grants (AGAUR) Generalitat de Catalunya formation of investigators
  (FI) PhD grant.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Daniel
  full_name: Jirovec, Daniel
  id: 4C473F58-F248-11E8-B48F-1D18A9856A87
  last_name: Jirovec
  orcid: 0000-0002-7197-4801
- first_name: Andrea C
  full_name: Hofmann, Andrea C
  id: 340F461A-F248-11E8-B48F-1D18A9856A87
  last_name: Hofmann
- first_name: Andrea
  full_name: Ballabio, Andrea
  last_name: Ballabio
- first_name: Philipp M.
  full_name: Mutter, Philipp M.
  last_name: Mutter
- first_name: Giulio
  full_name: Tavani, Giulio
  last_name: Tavani
- first_name: Marc
  full_name: Botifoll, Marc
  last_name: Botifoll
- first_name: Alessandro
  full_name: Crippa, Alessandro
  id: 1F2B21A2-F6E7-11E9-9B82-F7DBE5697425
  last_name: Crippa
  orcid: 0000-0002-2968-611X
- first_name: Josip
  full_name: Kukucka, Josip
  id: 3F5D8856-F248-11E8-B48F-1D18A9856A87
  last_name: Kukucka
- first_name: Oliver
  full_name: Sagi, Oliver
  id: 71616374-A8E9-11E9-A7CA-09ECE5697425
  last_name: Sagi
- first_name: Frederico
  full_name: Martins, Frederico
  id: 38F80F9A-1CB8-11EA-BC76-B49B3DDC885E
  last_name: Martins
  orcid: 0000-0003-2668-2401
- first_name: Jaime
  full_name: Saez Mollejo, Jaime
  id: e0390f72-f6e0-11ea-865d-862393336714
  last_name: Saez Mollejo
- first_name: Ivan
  full_name: Prieto Gonzalez, Ivan
  id: 2A307FE2-F248-11E8-B48F-1D18A9856A87
  last_name: Prieto Gonzalez
  orcid: 0000-0002-7370-5357
- first_name: Maksim
  full_name: Borovkov, Maksim
  id: 2ac7a0a2-3562-11eb-9256-fbd18ea55087
  last_name: Borovkov
- first_name: Jordi
  full_name: Arbiol, Jordi
  last_name: Arbiol
- first_name: Daniel
  full_name: Chrastina, Daniel
  last_name: Chrastina
- first_name: Giovanni
  full_name: Isella, Giovanni
  last_name: Isella
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
  orcid: 0000-0001-8342-202X
citation:
  ama: Jirovec D, Hofmann AC, Ballabio A, et al. A singlet triplet hole spin qubit
    in planar Ge. <i>Nature Materials</i>. 2021;20(8):1106–1112. doi:<a href="https://doi.org/10.1038/s41563-021-01022-2">10.1038/s41563-021-01022-2</a>
  apa: Jirovec, D., Hofmann, A. C., Ballabio, A., Mutter, P. M., Tavani, G., Botifoll,
    M., … Katsaros, G. (2021). A singlet triplet hole spin qubit in planar Ge. <i>Nature
    Materials</i>. Springer Nature. <a href="https://doi.org/10.1038/s41563-021-01022-2">https://doi.org/10.1038/s41563-021-01022-2</a>
  chicago: Jirovec, Daniel, Andrea C Hofmann, Andrea Ballabio, Philipp M. Mutter,
    Giulio Tavani, Marc Botifoll, Alessandro Crippa, et al. “A Singlet Triplet Hole
    Spin Qubit in Planar Ge.” <i>Nature Materials</i>. Springer Nature, 2021. <a href="https://doi.org/10.1038/s41563-021-01022-2">https://doi.org/10.1038/s41563-021-01022-2</a>.
  ieee: D. Jirovec <i>et al.</i>, “A singlet triplet hole spin qubit in planar Ge,”
    <i>Nature Materials</i>, vol. 20, no. 8. Springer Nature, pp. 1106–1112, 2021.
  ista: Jirovec D, Hofmann AC, Ballabio A, Mutter PM, Tavani G, Botifoll M, Crippa
    A, Kukucka J, Sagi O, Martins F, Saez Mollejo J, Prieto Gonzalez I, Borovkov M,
    Arbiol J, Chrastina D, Isella G, Katsaros G. 2021. A singlet triplet hole spin
    qubit in planar Ge. Nature Materials. 20(8), 1106–1112.
  mla: Jirovec, Daniel, et al. “A Singlet Triplet Hole Spin Qubit in Planar Ge.” <i>Nature
    Materials</i>, vol. 20, no. 8, Springer Nature, 2021, pp. 1106–1112, doi:<a href="https://doi.org/10.1038/s41563-021-01022-2">10.1038/s41563-021-01022-2</a>.
  short: D. Jirovec, A.C. Hofmann, A. Ballabio, P.M. Mutter, G. Tavani, M. Botifoll,
    A. Crippa, J. Kukucka, O. Sagi, F. Martins, J. Saez Mollejo, I. Prieto Gonzalez,
    M. Borovkov, J. Arbiol, D. Chrastina, G. Isella, G. Katsaros, Nature Materials
    20 (2021) 1106–1112.
date_created: 2020-12-02T10:50:47Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2024-03-25T23:30:14Z
day: '01'
department:
- _id: GeKa
- _id: NanoFab
- _id: GradSch
doi: 10.1038/s41563-021-01022-2
ec_funded: 1
external_id:
  arxiv:
  - '2011.13755'
  isi:
  - '000657596400001'
intvolume: '        20'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2011.13755
month: '08'
oa: 1
oa_version: Preprint
page: 1106–1112
project:
- _id: 26A151DA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '844511'
  name: Majorana bound states in Ge/SiGe heterostructures
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 2641CE5E-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P30207
  name: Hole spin orbit qubits in Ge quantum wells
- _id: 262116AA-B435-11E9-9278-68D0E5697425
  name: Hybrid Semiconductor - Superconductor Quantum Devices
publication: Nature Materials
publication_identifier:
  eissn:
  - 1476-4660
  issn:
  - 1476-1122
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/quantum-computing-with-holes/
  record:
  - id: '9323'
    relation: research_data
    status: public
  - id: '10058'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: A singlet triplet hole spin qubit in planar Ge
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 20
year: '2021'
...