---
_id: '12276'
abstract:
- lang: eng
  text: Ongoing development of quantum simulators allows for a progressively finer
    degree of control of quantum many-body systems. This motivates the development
    of efficient approaches to facilitate the control of such systems and enable the
    preparation of nontrivial quantum states. Here we formulate an approach to control
    quantum systems based on matrix product states (MPSs). We compare counterdiabatic
    and leakage minimization approaches to the so-called local steering problem that
    consists in finding the best value of the control parameters for generating a
    unitary evolution of the specific MPS in a given direction. In order to benchmark
    the different approaches, we apply them to the generalization of the PXP model
    known to exhibit coherent quantum dynamics due to quantum many-body scars. We
    find that the leakage-based approach generally outperforms the counterdiabatic
    framework and use it to construct a Floquet model with quantum scars. We perform
    the first steps towards global trajectory optimization and demonstrate entanglement
    steering capabilities in the generalized PXP model. Finally, we apply our leakage
    minimization approach to construct quantum scars in the periodically driven nonintegrable
    Ising model.
acknowledgement: We thank A. A. Michailidis for insightful discussions. M.L. and M.S.
  acknowledge support from the European Research Council (ERC) under the European
  Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899).
  D.A. is supported by the European Research Council (ERC) under the European Union’s
  Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and
  by the Swiss National Science Foundation. The infinite TEBD simulations were performed
  using the ITensor library [67].
article_number: '030343'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marko
  full_name: Ljubotina, Marko
  id: F75EE9BE-5C90-11EA-905D-16643DDC885E
  last_name: Ljubotina
- first_name: Barbara
  full_name: Roos, Barbara
  id: 5DA90512-D80F-11E9-8994-2E2EE6697425
  last_name: Roos
  orcid: 0000-0002-9071-5880
- first_name: Dmitry A.
  full_name: Abanin, Dmitry A.
  last_name: Abanin
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product
    states and quantum many-body scars. <i>PRX Quantum</i>. 2022;3(3). doi:<a href="https://doi.org/10.1103/prxquantum.3.030343">10.1103/prxquantum.3.030343</a>
  apa: Ljubotina, M., Roos, B., Abanin, D. A., &#38; Serbyn, M. (2022). Optimal steering
    of matrix product states and quantum many-body scars. <i>PRX Quantum</i>. American
    Physical Society. <a href="https://doi.org/10.1103/prxquantum.3.030343">https://doi.org/10.1103/prxquantum.3.030343</a>
  chicago: Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal
    Steering of Matrix Product States and Quantum Many-Body Scars.” <i>PRX Quantum</i>.
    American Physical Society, 2022. <a href="https://doi.org/10.1103/prxquantum.3.030343">https://doi.org/10.1103/prxquantum.3.030343</a>.
  ieee: M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix
    product states and quantum many-body scars,” <i>PRX Quantum</i>, vol. 3, no. 3.
    American Physical Society, 2022.
  ista: Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix
    product states and quantum many-body scars. PRX Quantum. 3(3), 030343.
  mla: Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum
    Many-Body Scars.” <i>PRX Quantum</i>, vol. 3, no. 3, 030343, American Physical
    Society, 2022, doi:<a href="https://doi.org/10.1103/prxquantum.3.030343">10.1103/prxquantum.3.030343</a>.
  short: M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).
date_created: 2023-01-16T10:01:56Z
date_published: 2022-09-23T00:00:00Z
date_updated: 2023-01-30T11:05:23Z
day: '23'
ddc:
- '530'
department:
- _id: MaSe
- _id: RoSe
doi: 10.1103/prxquantum.3.030343
ec_funded: 1
external_id:
  arxiv:
  - '2204.02899'
file:
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  date_created: 2023-01-30T11:02:50Z
  date_updated: 2023-01-30T11:02:50Z
  file_id: '12457'
  file_name: 2022_PRXQuantum_Ljubotina.pdf
  file_size: 7661905
  relation: main_file
  success: 1
file_date_updated: 2023-01-30T11:02:50Z
has_accepted_license: '1'
intvolume: '         3'
issue: '3'
keyword:
- General Medicine
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: PRX Quantum
publication_identifier:
  eissn:
  - 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal steering of matrix product states and quantum many-body scars
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2022'
...
---
_id: '9928'
abstract:
- lang: eng
  text: There are two elementary superconducting qubit types that derive directly
    from the quantum harmonic oscillator. In one, the inductor is replaced by a nonlinear
    Josephson junction to realize the widely used charge qubits with a compact phase
    variable and a discrete charge wave function. In the other, the junction is added
    in parallel, which gives rise to an extended phase variable, continuous wave functions,
    and a rich energy-level structure due to the loop topology. While the corresponding
    rf superconducting quantum interference device Hamiltonian was introduced as a
    quadratic quasi-one-dimensional potential approximation to describe the fluxonium
    qubit implemented with long Josephson-junction arrays, in this work we implement
    it directly using a linear superinductor formed by a single uninterrupted aluminum
    wire. We present a large variety of qubits, all stemming from the same circuit
    but with drastically different characteristic energy scales. This includes flux
    and fluxonium qubits but also the recently introduced quasicharge qubit with strongly
    enhanced zero-point phase fluctuations and a heavily suppressed flux dispersion.
    The use of a geometric inductor results in high reproducibility of the inductive
    energy as guaranteed by top-down lithography—a key ingredient for intrinsically
    protected superconducting qubits.
acknowledged_ssus:
- _id: NanoFab
- _id: M-Shop
acknowledgement: We thank W. Hughes for analytic and numerical modeling during the
  early stages of this work, J. Koch for discussions and support with the scqubits
  package, R. Sett, P. Zielinski, and L. Drmic for software development, and G. Katsaros
  for equipment support, as well as the MIBA workshop and the Institute of Science
  and Technology Austria nanofabrication facility. We thank I. Pop, S. Deleglise,
  and E. Flurin for discussions. This work was supported by a NOMIS Foundation research
  grant, the Austrian Science Fund (FWF) through BeyondC (F7105), and IST Austria.
  M.P. is the recipient of a Pöttinger scholarship at IST Austria. E.R. is the recipient
  of a DOC fellowship of the Austrian Academy of Sciences at IST Austria.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matilda
  full_name: Peruzzo, Matilda
  id: 3F920B30-F248-11E8-B48F-1D18A9856A87
  last_name: Peruzzo
  orcid: 0000-0002-3415-4628
- first_name: Farid
  full_name: Hassani, Farid
  id: 2AED110C-F248-11E8-B48F-1D18A9856A87
  last_name: Hassani
  orcid: 0000-0001-6937-5773
- first_name: Gregory
  full_name: Szep, Gregory
  last_name: Szep
- first_name: Andrea
  full_name: Trioni, Andrea
  id: 42F71B44-F248-11E8-B48F-1D18A9856A87
  last_name: Trioni
- first_name: Elena
  full_name: Redchenko, Elena
  id: 2C21D6E8-F248-11E8-B48F-1D18A9856A87
  last_name: Redchenko
- first_name: Martin
  full_name: Zemlicka, Martin
  id: 2DCF8DE6-F248-11E8-B48F-1D18A9856A87
  last_name: Zemlicka
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: 'Peruzzo M, Hassani F, Szep G, et al. Geometric superinductance qubits: Controlling
    phase delocalization across a single Josephson junction. <i>PRX Quantum</i>. 2021;2(4):040341.
    doi:<a href="https://doi.org/10.1103/PRXQuantum.2.040341">10.1103/PRXQuantum.2.040341</a>'
  apa: 'Peruzzo, M., Hassani, F., Szep, G., Trioni, A., Redchenko, E., Zemlicka, M.,
    &#38; Fink, J. M. (2021). Geometric superinductance qubits: Controlling phase
    delocalization across a single Josephson junction. <i>PRX Quantum</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PRXQuantum.2.040341">https://doi.org/10.1103/PRXQuantum.2.040341</a>'
  chicago: 'Peruzzo, Matilda, Farid Hassani, Gregory Szep, Andrea Trioni, Elena Redchenko,
    Martin Zemlicka, and Johannes M Fink. “Geometric Superinductance Qubits: Controlling
    Phase Delocalization across a Single Josephson Junction.” <i>PRX Quantum</i>.
    American Physical Society, 2021. <a href="https://doi.org/10.1103/PRXQuantum.2.040341">https://doi.org/10.1103/PRXQuantum.2.040341</a>.'
  ieee: 'M. Peruzzo <i>et al.</i>, “Geometric superinductance qubits: Controlling
    phase delocalization across a single Josephson junction,” <i>PRX Quantum</i>,
    vol. 2, no. 4. American Physical Society, p. 040341, 2021.'
  ista: 'Peruzzo M, Hassani F, Szep G, Trioni A, Redchenko E, Zemlicka M, Fink JM.
    2021. Geometric superinductance qubits: Controlling phase delocalization across
    a single Josephson junction. PRX Quantum. 2(4), 040341.'
  mla: 'Peruzzo, Matilda, et al. “Geometric Superinductance Qubits: Controlling Phase
    Delocalization across a Single Josephson Junction.” <i>PRX Quantum</i>, vol. 2,
    no. 4, American Physical Society, 2021, p. 040341, doi:<a href="https://doi.org/10.1103/PRXQuantum.2.040341">10.1103/PRXQuantum.2.040341</a>.'
  short: M. Peruzzo, F. Hassani, G. Szep, A. Trioni, E. Redchenko, M. Zemlicka, J.M.
    Fink, PRX Quantum 2 (2021) 040341.
date_created: 2021-08-17T08:14:18Z
date_published: 2021-11-24T00:00:00Z
date_updated: 2023-09-07T13:31:22Z
day: '24'
ddc:
- '530'
department:
- _id: JoFi
- _id: NanoFab
- _id: M-Shop
doi: 10.1103/PRXQuantum.2.040341
ec_funded: 1
external_id:
  arxiv:
  - '2106.05882'
  isi:
  - '000723015100001'
file:
- access_level: open_access
  checksum: 36eb41ea43d8ca22b0efab12419e4eb2
  content_type: application/pdf
  creator: cchlebak
  date_created: 2022-01-18T11:29:33Z
  date_updated: 2022-01-18T11:29:33Z
  file_id: '10641'
  file_name: 2021_PRXQuantum_Peruzzo.pdf
  file_size: 4247422
  relation: main_file
  success: 1
file_date_updated: 2022-01-18T11:29:33Z
has_accepted_license: '1'
intvolume: '         2'
isi: 1
issue: '4'
keyword:
- quantum physics
- mesoscale and nanoscale physics
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '040341'
project:
- _id: 26927A52-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: F07105
  name: Integrating superconducting quantum circuits
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 2622978C-B435-11E9-9278-68D0E5697425
  name: Hybrid Semiconductor - Superconductor Quantum Devices
publication: PRX Quantum
publication_identifier:
  eissn:
  - 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
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  - id: '9920'
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scopus_import: '1'
status: public
title: 'Geometric superinductance qubits: Controlling phase delocalization across
  a single Josephson junction'
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: 2
year: '2021'
...