---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19424'
abstract:
- lang: eng
  text: "Hole spin qubits are rapidly emerging as the workhorse of semiconducting
    quantum processors because of their large spin-orbit interaction, enabling fast
    all-electric operations at low power. However, spin-orbit interaction also causes
    non-uniformities in devices, resulting in locally varying qubit energies and site-dependent
    anisotropies. While these anisotropies can be used to drive single-spins, if not
    properly harnessed, they can hinder the path toward large-scale quantum processors.
    Here, we report on microwave-driven singlet-triplet qubits in planar germanium
    and use them to investigate the anisotropy of two spins in a double quantum dot.
    We show two distinct operating regimes depending on the magnetic field direction.
    For in-plane fields, the two spins are largely anisotropic, and electrically tunable,
    which enables to measure all the available transitions; coherence times exceeding
    3 $\\mu$s are extracted. For out-of-plane fields, they have an isotropic response
    but preserve the substantial energy difference required to address the singlet-triplet
    qubit. Even in this field direction, where the qubit lifetime\r\nis strongly affected
    by nuclear spins, we find 400 ns coherence times. Our work adds a valuable tool
    to investigate and harness the anisotropy of spin qubits and can be implemented
    in any large-scale NxN device, facilitating the path towards scalable quantum
    processors."
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: "We thank A. Crippa for helpful discussions. This research was supported
  by the Scientific Service Units of ISTA through resources provided by the MIBA Machine
  Shop and the Nanofabrication facility. This research and related results were made
  possible with the support of the NOMIS Foundation, the HORIZON-RIA 101069515 project
  and the FWF Projects with DOI:10.55776/F86 and DOI:10.55776/I5060. M.R.-R. acknowledges
  support from the Netherlands Organization of Scientific Research (NWO) under Veni
  grant VI.Veni.212.223. The\r\nResearch of S.B. and M.R.-R. was sponsored in part
  by the Army Research Office and was accomplished under Award Number: W911NF-23-1-0110.
  The views and conclusions contained in this document are those of the authors and
  should not be interpreted as representing the official policies, either expressed
  or implied, of the Army Research Office or the U.S. Government. The U.S. Government
  is authorized to reproduce and distribute reprints for Government purposes notwithstanding
  any copyright notation herein."
article_number: '3862'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Jaime
  full_name: Saez Mollejo, Jaime
  id: e0390f72-f6e0-11ea-865d-862393336714
  last_name: Saez Mollejo
- first_name: Daniel
  full_name: Jirovec, Daniel
  id: 4C473F58-F248-11E8-B48F-1D18A9856A87
  last_name: Jirovec
  orcid: 0000-0002-7197-4801
- first_name: Yona A
  full_name: Schell, Yona A
  id: fe39122d-06bb-11ec-a33b-9e22b40e40a5
  last_name: Schell
- first_name: Josip
  full_name: Kukucka, Josip
  id: 3F5D8856-F248-11E8-B48F-1D18A9856A87
  last_name: Kukucka
- first_name: Stefano
  full_name: Calcaterra, Stefano
  last_name: Calcaterra
- first_name: Daniel
  full_name: Chrastina, Daniel
  last_name: Chrastina
- first_name: Giovanni
  full_name: Isella, Giovanni
  last_name: Isella
- first_name: Maximilian
  full_name: Rimbach-Russ, Maximilian
  last_name: Rimbach-Russ
- first_name: Stefano
  full_name: Bosco, Stefano
  last_name: Bosco
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
  orcid: 0000-0001-8342-202X
citation:
  ama: Saez Mollejo J, Jirovec D, Schell YA, et al. Exchange anisotropies in microwave-driven
    singlet-triplet qubits. <i>Nature Communications</i>. 2025;16. doi:<a href="https://doi.org/10.1038/s41467-025-58969-y">10.1038/s41467-025-58969-y</a>
  apa: Saez Mollejo, J., Jirovec, D., Schell, Y. A., Kukucka, J., Calcaterra, S.,
    Chrastina, D., … Katsaros, G. (2025). Exchange anisotropies in microwave-driven
    singlet-triplet qubits. <i>Nature Communications</i>. Springer Nature. <a href="https://doi.org/10.1038/s41467-025-58969-y">https://doi.org/10.1038/s41467-025-58969-y</a>
  chicago: Saez Mollejo, Jaime, Daniel Jirovec, Yona A Schell, Josip Kukucka, Stefano
    Calcaterra, Daniel Chrastina, Giovanni Isella, Maximilian Rimbach-Russ, Stefano
    Bosco, and Georgios Katsaros. “Exchange Anisotropies in Microwave-Driven Singlet-Triplet
    Qubits.” <i>Nature Communications</i>. Springer Nature, 2025. <a href="https://doi.org/10.1038/s41467-025-58969-y">https://doi.org/10.1038/s41467-025-58969-y</a>.
  ieee: J. Saez Mollejo <i>et al.</i>, “Exchange anisotropies in microwave-driven
    singlet-triplet qubits,” <i>Nature Communications</i>, vol. 16. Springer Nature,
    2025.
  ista: Saez Mollejo J, Jirovec D, Schell YA, Kukucka J, Calcaterra S, Chrastina D,
    Isella G, Rimbach-Russ M, Bosco S, Katsaros G. 2025. Exchange anisotropies in
    microwave-driven singlet-triplet qubits. Nature Communications. 16, 3862.
  mla: Saez Mollejo, Jaime, et al. “Exchange Anisotropies in Microwave-Driven Singlet-Triplet
    Qubits.” <i>Nature Communications</i>, vol. 16, 3862, Springer Nature, 2025, doi:<a
    href="https://doi.org/10.1038/s41467-025-58969-y">10.1038/s41467-025-58969-y</a>.
  short: J. Saez Mollejo, D. Jirovec, Y.A. Schell, J. Kukucka, S. Calcaterra, D. Chrastina,
    G. Isella, M. Rimbach-Russ, S. Bosco, G. Katsaros, Nature Communications 16 (2025).
corr_author: '1'
date_created: 2025-03-19T13:28:12Z
date_published: 2025-04-24T00:00:00Z
date_updated: 2026-05-02T22:31:13Z
day: '24'
ddc:
- '530'
department:
- _id: GeKa
doi: 10.1038/s41467-025-58969-y
external_id:
  arxiv:
  - '2408.03224'
  isi:
  - '001475587400022'
  pmid:
  - '40274808'
file:
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  file_size: 1548756
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file_date_updated: 2025-05-05T07:08:23Z
has_accepted_license: '1'
intvolume: '        16'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 34c0acea-11ca-11ed-8bc3-8775e10fd452
  grant_number: '101069515'
  name: Integrated Germanium Quantum Technology
- _id: 34a66131-11ca-11ed-8bc3-a31681c6b03e
  grant_number: F8606
  name: 'Center for Correlated Quantum Materials and Solid State Quantum Systems:
    Conventional  and unconventional topological superconductors'
- _id: c0977eea-5a5b-11eb-8a69-a862db0cf4d1
  grant_number: I05060
  name: High impedance circuit quantum electrodynamics with hole spins
- _id: 262116AA-B435-11E9-9278-68D0E5697425
  name: Hybrid Semiconductor - Superconductor Quantum Devices
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - description: News on ISTA website
    relation: research_data
    url: https://ista.ac.at/en/news/the-shadow-of-an-electron/
  record:
  - id: '19409'
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    status: public
  - id: '19836'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Exchange anisotropies in microwave-driven singlet-triplet qubits
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: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 16
year: '2025'
...
---
OA_place: publisher
_id: '19836'
abstract:
- lang: eng
  text: "Over the past century, researchers have been fascinated by the quantum nature
    of the\r\nphysical world, initially striving to understand its fundamental principles
    and consequences, and\r\neventually progressing toward engineering systems that
    can control and manipulate quantum\r\nproperties. Today, we stand at the dawn
    of the quantum technology era. While some quantum\r\ntechnologies follow well-defined
    roadmaps, others are still in the exciting and uncertain early\r\nstages of development.
    In the fields of quantum computing and quantum simulation, research\r\nis being
    conducted across a wide variety of platforms. Each of these demonstrates control
    over\r\nquantum properties but also faces challenges in scaling up to the level
    of a mature technology.\r\nThis thesis explores some of the fundamental properties
    of hole spin qubits in planar germanium.\r\nSemiconductor spin qubits are considered
    strong candidates for the realization of quantum\r\nprocessors, owing to their
    long relaxation and coherence times, as well as their compatibility\r\nwith existing
    semiconductor industry infrastructure. Among these, hole spin qubits in planar\r\ngermanium
    are particularly promising. Their advantages include a large effective mass, which\r\neases
    fabrication constraints; inherent protection from hyperfine noise; and strong
    spin-orbit\r\ninteraction, which enables fast and purely electrical control. However,
    spin-orbit coupling also\r\nintroduces site-dependent variability across qubits,
    particularly in the g-tensors and spin-flip\r\ntunneling, which might cause that
    the quantization axes are not aligned. In this thesis, we\r\ninvestigate the tilt
    between the quantization axes of two hole spins hosted in a double quantum\r\ndot
    as a function of both the magnetic field direction and various electrostatic configurations,\r\ndemonstrating
    that both parameters influence this tilt. We conclude by introducing a machine-learning-assisted
    routine to automatically tune baseband spin qubits. This approach may prove\r\nto
    be a powerful tool for characterizing spin-orbit effects and gaining deeper insight
    into the\r\nphysics governing spin qubit behavior.\r\n"
acknowledged_ssus:
- _id: NanoFab
- _id: M-Shop
acknowledgement: "This research was supported by the Scientific Service Units of ISTA
  through resources provided\r\nby the MIBA Machine Shop and the Nanofabrication facility.
  We acknowledge the support from\r\nthe European Commission with the project Integrated
  Germanium Quantum Technology (with\r\nDOI:10.3030/101069515), the NOMIS Foundation,
  the HORIZON-RIA 101069515 project and\r\nthe FWF Projects Center for Correlated
  Quantum Materials and Solid State Quantum Systems:\r\nConventional and unconventional
  topological superconductors (with DOI:10.55776/F86) and\r\nHigh impedance circuit
  quantum electrodynamics with hole spins (with DOI:10.55776/I5060).\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Jaime
  full_name: Saez Mollejo, Jaime
  id: e0390f72-f6e0-11ea-865d-862393336714
  last_name: Saez Mollejo
citation:
  ama: 'Saez Mollejo J. Singlet-triplet qubits in planar Germanium : From exchange
    anisotropies to autonomous tuning . 2025. doi:<a href="https://doi.org/10.15479/AT-ISTA-19836">10.15479/AT-ISTA-19836</a>'
  apa: 'Saez Mollejo, J. (2025). <i>Singlet-triplet qubits in planar Germanium : From
    exchange anisotropies to autonomous tuning </i>. Institute of Science and Technology
    Austria. <a href="https://doi.org/10.15479/AT-ISTA-19836">https://doi.org/10.15479/AT-ISTA-19836</a>'
  chicago: 'Saez Mollejo, Jaime. “Singlet-Triplet Qubits in Planar Germanium : From
    Exchange Anisotropies to Autonomous Tuning .” Institute of Science and Technology
    Austria, 2025. <a href="https://doi.org/10.15479/AT-ISTA-19836">https://doi.org/10.15479/AT-ISTA-19836</a>.'
  ieee: 'J. Saez Mollejo, “Singlet-triplet qubits in planar Germanium : From exchange
    anisotropies to autonomous tuning ,” Institute of Science and Technology Austria,
    2025.'
  ista: 'Saez Mollejo J. 2025. Singlet-triplet qubits in planar Germanium : From exchange
    anisotropies to autonomous tuning . Institute of Science and Technology Austria.'
  mla: 'Saez Mollejo, Jaime. <i>Singlet-Triplet Qubits in Planar Germanium : From
    Exchange Anisotropies to Autonomous Tuning </i>. Institute of Science and Technology
    Austria, 2025, doi:<a href="https://doi.org/10.15479/AT-ISTA-19836">10.15479/AT-ISTA-19836</a>.'
  short: 'J. Saez Mollejo, Singlet-Triplet Qubits in Planar Germanium : From Exchange
    Anisotropies to Autonomous Tuning , Institute of Science and Technology Austria,
    2025.'
corr_author: '1'
date_created: 2025-06-13T09:01:50Z
date_published: 2025-06-13T00:00:00Z
date_updated: 2026-04-28T13:29:28Z
day: '13'
ddc:
- '530'
- '539'
degree_awarded: PhD
department:
- _id: GradSch
- _id: GeKa
doi: 10.15479/AT-ISTA-19836
file:
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  date_updated: 2026-04-01T22:30:07Z
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has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: '175'
project:
- _id: 34c0acea-11ca-11ed-8bc3-8775e10fd452
  grant_number: '101069515'
  name: Integrated Germanium Quantum Technology
- _id: 34a66131-11ca-11ed-8bc3-a31681c6b03e
  grant_number: F8606
  name: 'Center for Correlated Quantum Materials and Solid State Quantum Systems:
    Conventional  and unconventional topological superconductors'
- _id: c0977eea-5a5b-11eb-8a69-a862db0cf4d1
  grant_number: I05060
  name: High impedance circuit quantum electrodynamics with hole spins
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '19424'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
  orcid: 0000-0001-8342-202X
title: 'Singlet-triplet qubits in planar Germanium : From exchange anisotropies to
  autonomous tuning '
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: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2025'
...
