---
_id: '14622'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Stefan
  full_name: Sack, Stefan
  id: dd622248-f6e0-11ea-865d-ce382a1c81a5
  last_name: Sack
  orcid: 0000-0001-5400-8508
citation:
  ama: 'Sack S. Improving variational quantum algorithms: Innovative initialization
    techniques and extensions to qudit systems. 2023. doi:<a href="https://doi.org/10.15479/at:ista:14622">10.15479/at:ista:14622</a>'
  apa: 'Sack, S. (2023). <i>Improving variational quantum algorithms: Innovative initialization
    techniques and extensions to qudit systems</i>. Institute of Science and Technology
    Austria. <a href="https://doi.org/10.15479/at:ista:14622">https://doi.org/10.15479/at:ista:14622</a>'
  chicago: 'Sack, Stefan. “Improving Variational Quantum Algorithms: Innovative Initialization
    Techniques and Extensions to Qudit Systems.” Institute of Science and Technology
    Austria, 2023. <a href="https://doi.org/10.15479/at:ista:14622">https://doi.org/10.15479/at:ista:14622</a>.'
  ieee: 'S. Sack, “Improving variational quantum algorithms: Innovative initialization
    techniques and extensions to qudit systems,” Institute of Science and Technology
    Austria, 2023.'
  ista: 'Sack S. 2023. Improving variational quantum algorithms: Innovative initialization
    techniques and extensions to qudit systems. Institute of Science and Technology
    Austria.'
  mla: 'Sack, Stefan. <i>Improving Variational Quantum Algorithms: Innovative Initialization
    Techniques and Extensions to Qudit Systems</i>. Institute of Science and Technology
    Austria, 2023, doi:<a href="https://doi.org/10.15479/at:ista:14622">10.15479/at:ista:14622</a>.'
  short: 'S. Sack, Improving Variational Quantum Algorithms: Innovative Initialization
    Techniques and Extensions to Qudit Systems, Institute of Science and Technology
    Austria, 2023.'
date_created: 2023-11-28T10:58:13Z
date_published: 2023-11-30T00:00:00Z
date_updated: 2023-12-13T14:47:25Z
day: '30'
ddc:
- '530'
degree_awarded: PhD
department:
- _id: GradSch
- _id: MaSe
doi: 10.15479/at:ista:14622
ec_funded: 1
file:
- access_level: closed
  checksum: 068fd3570506ec42b2faa390de784bc4
  content_type: application/pdf
  creator: ssack
  date_created: 2023-11-30T15:53:10Z
  date_updated: 2023-12-01T11:10:46Z
  embargo: 2024-11-30
  embargo_to: open_access
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  file_size: 11947523
  relation: main_file
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  checksum: 0fa3bc0d108aed0ac59d2c6beef2220a
  content_type: application/zip
  creator: ssack
  date_created: 2023-11-30T15:54:11Z
  date_updated: 2023-12-01T11:10:46Z
  file_id: '14636'
  file_name: PhD Thesis (1).zip
  file_size: 18422964
  relation: source_file
file_date_updated: 2023-12-01T11:10:46Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa_version: Published Version
page: '142'
project:
- _id: bd660c93-d553-11ed-ba76-fb0fb6f49c0d
  name: Quantum_Quantum Circuits and Software_Variational quantum algorithms on NISQ
    devices
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication_identifier:
  issn:
  - 2663 - 337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '11471'
    relation: part_of_dissertation
    status: public
  - id: '13125'
    relation: part_of_dissertation
    status: public
  - id: '9760'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
title: 'Improving variational quantum algorithms: Innovative initialization techniques
  and extensions to qudit systems'
tmp:
  image: /images/cc_by_nc_sa.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
    BY-NC-SA 4.0)
  short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '13125'
abstract:
- lang: eng
  text: 'The quantum approximate optimization algorithm (QAOA) is a variational quantum
    algorithm, where a quantum computer implements a variational ansatz consisting
    of p layers of alternating unitary operators and a classical computer is used
    to optimize the variational parameters. For a random initialization, the optimization
    typically leads to local minima with poor performance, motivating the search for
    initialization strategies of QAOA variational parameters. Although numerous heuristic
    initializations exist, an analytical understanding and performance guarantees
    for large p remain evasive.We introduce a greedy initialization of QAOA which
    guarantees improving performance with an increasing number of layers. Our main
    result is an analytic construction of 2p + 1 transition states—saddle points with
    a unique negative curvature direction—for QAOA with p + 1 layers that use the
    local minimum of QAOA with p layers. Transition states connect to new local minima,
    which are guaranteed to lower the energy compared to the minimum found for p layers.
    We use the GREEDY procedure to navigate the exponentially increasing with p number
    of local minima resulting from the recursive application of our analytic construction.
    The performance of the GREEDY procedure matches available initialization strategies
    while providing a guarantee for the minimal energy to decrease with an increasing
    number of layers p. '
acknowledgement: 'We thank V. Verteletskyi for a joint collaboration on numerical
  studies of the QAOA during his internship at ISTA that inspired analytic results
  on TS reported in this work. We acknowledge A. A. Mele and M. Brooks for discussions
  and D. Egger, P. Love, and D. Wierichs for valuable feedback on the manuscript.
  S.H.S., R.A.M., and M.S. acknowledge support by the European Research Council (ERC)
  under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
  No. 850899). R.K. is supported by the SFB BeyondC (Grant No. F7107-N38) and the
  project QuantumReady (FFG 896217). '
article_number: '062404'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefan
  full_name: Sack, Stefan
  id: dd622248-f6e0-11ea-865d-ce382a1c81a5
  last_name: Sack
  orcid: 0000-0001-5400-8508
- first_name: Raimel A
  full_name: Medina Ramos, Raimel A
  id: CE680B90-D85A-11E9-B684-C920E6697425
  last_name: Medina Ramos
  orcid: 0000-0002-5383-2869
- first_name: Richard
  full_name: Kueng, Richard
  last_name: Kueng
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Sack S, Medina Ramos RA, Kueng R, Serbyn M. Recursive greedy initialization
    of the quantum approximate optimization algorithm with guaranteed improvement.
    <i>Physical Review A</i>. 2023;107(6). doi:<a href="https://doi.org/10.1103/physreva.107.062404">10.1103/physreva.107.062404</a>
  apa: Sack, S., Medina Ramos, R. A., Kueng, R., &#38; Serbyn, M. (2023). Recursive
    greedy initialization of the quantum approximate optimization algorithm with guaranteed
    improvement. <i>Physical Review A</i>. American Physical Society. <a href="https://doi.org/10.1103/physreva.107.062404">https://doi.org/10.1103/physreva.107.062404</a>
  chicago: Sack, Stefan, Raimel A Medina Ramos, Richard Kueng, and Maksym Serbyn.
    “Recursive Greedy Initialization of the Quantum Approximate Optimization Algorithm
    with Guaranteed Improvement.” <i>Physical Review A</i>. American Physical Society,
    2023. <a href="https://doi.org/10.1103/physreva.107.062404">https://doi.org/10.1103/physreva.107.062404</a>.
  ieee: S. Sack, R. A. Medina Ramos, R. Kueng, and M. Serbyn, “Recursive greedy initialization
    of the quantum approximate optimization algorithm with guaranteed improvement,”
    <i>Physical Review A</i>, vol. 107, no. 6. American Physical Society, 2023.
  ista: Sack S, Medina Ramos RA, Kueng R, Serbyn M. 2023. Recursive greedy initialization
    of the quantum approximate optimization algorithm with guaranteed improvement.
    Physical Review A. 107(6), 062404.
  mla: Sack, Stefan, et al. “Recursive Greedy Initialization of the Quantum Approximate
    Optimization Algorithm with Guaranteed Improvement.” <i>Physical Review A</i>,
    vol. 107, no. 6, 062404, American Physical Society, 2023, doi:<a href="https://doi.org/10.1103/physreva.107.062404">10.1103/physreva.107.062404</a>.
  short: S. Sack, R.A. Medina Ramos, R. Kueng, M. Serbyn, Physical Review A 107 (2023).
date_created: 2023-06-07T06:57:32Z
date_published: 2023-06-02T00:00:00Z
date_updated: 2023-12-13T14:47:25Z
day: '02'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physreva.107.062404
ec_funded: 1
external_id:
  arxiv:
  - '2209.01159'
  isi:
  - '001016927100012'
file:
- access_level: open_access
  checksum: 0d71423888eeccaa60d8f41197f26306
  content_type: application/pdf
  creator: dernst
  date_created: 2023-06-13T07:28:36Z
  date_updated: 2023-06-13T07:28:36Z
  file_id: '13131'
  file_name: 2023_PhysRevA_Sack.pdf
  file_size: 2524611
  relation: main_file
  success: 1
file_date_updated: 2023-06-13T07:28:36Z
has_accepted_license: '1'
intvolume: '       107'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
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: Physical Review A
publication_identifier:
  eissn:
  - 2469-9934
  issn:
  - 2469-9926
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '14622'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Recursive greedy initialization of the quantum approximate optimization algorithm
  with guaranteed improvement
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: 107
year: '2023'
...
---
_id: '11471'
abstract:
- lang: eng
  text: 'Variational quantum algorithms are promising algorithms for achieving quantum
    advantage on nearterm devices. The quantum hardware is used to implement a variational
    wave function and measure observables, whereas the classical computer is used
    to store and update the variational parameters. The optimization landscape of
    expressive variational ansätze is however dominated by large regions in parameter
    space, known as barren plateaus, with vanishing gradients, which prevents efficient
    optimization. In this work we propose a general algorithm to avoid barren plateaus
    in the initialization and throughout the optimization. To this end we define a
    notion of weak barren plateaus (WBPs) based on the entropies of local reduced
    density matrices. The presence of WBPs can be efficiently quantified using recently
    introduced shadow tomography of the quantum state with a classical computer. We
    demonstrate that avoidance of WBPs suffices to ensure sizable gradients in the
    initialization. In addition, we demonstrate that decreasing the gradient step
    size, guided by the entropies allows WBPs to be avoided during the optimization
    process. This paves the way for efficient barren plateau-free optimization on
    near-term devices. '
acknowledgement: "We thank Marco Cerezo, Zoe Holmes, and Nicholas Hunter-Jones for
  fruitful discussion and valuable feedback. We also acknowledge Adam Smith, Johannes
  Jakob Meyer, and Victor V. Albert for comments on the paper. The simulations were
  performed in the Julia programming\r\nlanguage [65] using the Yao module [66]. S.H.S.,
  R.A.M., A.A.M. and M.S. acknowledge support by the European Research Council (ERC)
  under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
  No. 850899)."
article_number: '020365'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefan
  full_name: Sack, Stefan
  id: dd622248-f6e0-11ea-865d-ce382a1c81a5
  last_name: Sack
  orcid: 0000-0001-5400-8508
- first_name: Raimel A
  full_name: Medina Ramos, Raimel A
  id: CE680B90-D85A-11E9-B684-C920E6697425
  last_name: Medina Ramos
  orcid: 0000-0002-5383-2869
- first_name: Alexios
  full_name: Michailidis, Alexios
  id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
  last_name: Michailidis
  orcid: 0000-0002-8443-1064
- first_name: Richard
  full_name: Kueng, Richard
  last_name: Kueng
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Sack S, Medina Ramos RA, Michailidis A, Kueng R, Serbyn M. Avoiding barren
    plateaus using classical shadows. <i>PRX Quantum</i>. 2022;3(2). doi:<a href="https://doi.org/10.1103/prxquantum.3.020365">10.1103/prxquantum.3.020365</a>
  apa: Sack, S., Medina Ramos, R. A., Michailidis, A., Kueng, R., &#38; Serbyn, M.
    (2022). Avoiding barren plateaus using classical shadows. <i>PRX Quantum</i>.
    American Physical Society. <a href="https://doi.org/10.1103/prxquantum.3.020365">https://doi.org/10.1103/prxquantum.3.020365</a>
  chicago: Sack, Stefan, Raimel A Medina Ramos, Alexios Michailidis, Richard Kueng,
    and Maksym Serbyn. “Avoiding Barren Plateaus Using Classical Shadows.” <i>PRX
    Quantum</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/prxquantum.3.020365">https://doi.org/10.1103/prxquantum.3.020365</a>.
  ieee: S. Sack, R. A. Medina Ramos, A. Michailidis, R. Kueng, and M. Serbyn, “Avoiding
    barren plateaus using classical shadows,” <i>PRX Quantum</i>, vol. 3, no. 2. American
    Physical Society, 2022.
  ista: Sack S, Medina Ramos RA, Michailidis A, Kueng R, Serbyn M. 2022. Avoiding
    barren plateaus using classical shadows. PRX Quantum. 3(2), 020365.
  mla: Sack, Stefan, et al. “Avoiding Barren Plateaus Using Classical Shadows.” <i>PRX
    Quantum</i>, vol. 3, no. 2, 020365, American Physical Society, 2022, doi:<a href="https://doi.org/10.1103/prxquantum.3.020365">10.1103/prxquantum.3.020365</a>.
  short: S. Sack, R.A. Medina Ramos, A. Michailidis, R. Kueng, M. Serbyn, PRX Quantum
    3 (2022).
date_created: 2022-06-29T20:21:32Z
date_published: 2022-06-29T00:00:00Z
date_updated: 2023-12-13T14:47:24Z
day: '29'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/prxquantum.3.020365
ec_funded: 1
external_id:
  arxiv:
  - '2201.08194'
  isi:
  - '000822564300001'
file:
- access_level: open_access
  checksum: a7706b28d24a0e32a55ea04b82a2df43
  content_type: application/pdf
  creator: dernst
  date_created: 2022-06-30T07:14:48Z
  date_updated: 2022-06-30T07:14:48Z
  file_id: '11472'
  file_name: 2022_PRXQuantum_Sack.pdf
  file_size: 4231591
  relation: main_file
  success: 1
file_date_updated: 2022-06-30T07:14:48Z
has_accepted_license: '1'
intvolume: '         3'
isi: 1
issue: '2'
keyword:
- General Medicine
language:
- iso: eng
month: '06'
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:
  issn:
  - 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '14622'
    relation: dissertation_contains
    status: public
status: public
title: Avoiding barren plateaus using classical shadows
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: 3
year: '2022'
...
---
_id: '12111'
abstract:
- lang: eng
  text: Quantum impurities exhibit fascinating many-body phenomena when the small
    interacting impurity changes the physics of a large noninteracting environment.
    The characterisation of such strongly correlated nonperturbative effects is particularly
    challenging due to the infinite size of the environment, and the inability of
    local correlators to capture the buildup of long-ranged entanglement in the system.
    Here, we harness an entanglement-based observable—the purity of the impurity—as
    a witness for the formation of strong correlations. We showcase the utility of
    our scheme by exactly solving the open Kondo box model in the small box limit,
    and thus describe all-electronic dot-cavity devices. Specifically, we conclusively
    characterize the metal-to-insulator phase transition in the system and identify
    how the (conducting) dot-lead Kondo singlet is quenched by an (insulating) intraimpurity
    singlet formation. Furthermore, we propose an experimentally feasible tomography
    protocol for the measurement of the purity, which motivates the observation of
    impurity physics through their entanglement build up.
acknowledgement: We thank G. Blatter, T. Ihn, K. Ensslin, M. Goldstein, C. Carisch,
  and J. del Pino for illuminating discussions and acknowledge financial support from
  the Swiss National Science Foundation (SNSF) through Project No. 190078, and from
  the Deutsche Forschungsgemeinschaft (DFG) - Project No. 449653034. Our numerical
  implementations are based on the ITensors JULIA library [64].
article_number: '043177'
article_processing_charge: No
article_type: original
author:
- first_name: Lidia
  full_name: Stocker, Lidia
  last_name: Stocker
- first_name: Stefan
  full_name: Sack, Stefan
  id: dd622248-f6e0-11ea-865d-ce382a1c81a5
  last_name: Sack
- first_name: Michael S.
  full_name: Ferguson, Michael S.
  last_name: Ferguson
- first_name: Oded
  full_name: Zilberberg, Oded
  last_name: Zilberberg
citation:
  ama: Stocker L, Sack S, Ferguson MS, Zilberberg O. Entanglement-based observables
    for quantum impurities. <i>Physical Review Research</i>. 2022;4(4). doi:<a href="https://doi.org/10.1103/PhysRevResearch.4.043177">10.1103/PhysRevResearch.4.043177</a>
  apa: Stocker, L., Sack, S., Ferguson, M. S., &#38; Zilberberg, O. (2022). Entanglement-based
    observables for quantum impurities. <i>Physical Review Research</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevResearch.4.043177">https://doi.org/10.1103/PhysRevResearch.4.043177</a>
  chicago: Stocker, Lidia, Stefan Sack, Michael S. Ferguson, and Oded Zilberberg.
    “Entanglement-Based Observables for Quantum Impurities.” <i>Physical Review Research</i>.
    American Physical Society, 2022. <a href="https://doi.org/10.1103/PhysRevResearch.4.043177">https://doi.org/10.1103/PhysRevResearch.4.043177</a>.
  ieee: L. Stocker, S. Sack, M. S. Ferguson, and O. Zilberberg, “Entanglement-based
    observables for quantum impurities,” <i>Physical Review Research</i>, vol. 4,
    no. 4. American Physical Society, 2022.
  ista: Stocker L, Sack S, Ferguson MS, Zilberberg O. 2022. Entanglement-based observables
    for quantum impurities. Physical Review Research. 4(4), 043177.
  mla: Stocker, Lidia, et al. “Entanglement-Based Observables for Quantum Impurities.”
    <i>Physical Review Research</i>, vol. 4, no. 4, 043177, American Physical Society,
    2022, doi:<a href="https://doi.org/10.1103/PhysRevResearch.4.043177">10.1103/PhysRevResearch.4.043177</a>.
  short: L. Stocker, S. Sack, M.S. Ferguson, O. Zilberberg, Physical Review Research
    4 (2022).
date_created: 2023-01-08T23:00:53Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2023-02-13T09:08:28Z
day: '01'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/PhysRevResearch.4.043177
file:
- access_level: open_access
  checksum: 556820cf6e4af77c8476e5b8f4114d1a
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T12:03:31Z
  date_updated: 2023-01-20T12:03:31Z
  file_id: '12328'
  file_name: 2022_PhysicalReviewResearch_Stocker.pdf
  file_size: 2941167
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T12:03:31Z
has_accepted_license: '1'
intvolume: '         4'
issue: '4'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Entanglement-based observables for quantum impurities
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: 4
year: '2022'
...
---
_id: '9760'
abstract:
- lang: eng
  text: "The quantum approximate optimization algorithm (QAOA) is a prospective near-term
    quantum algorithm due to its modest circuit depth and promising benchmarks. However,
    an external parameter optimization required in the QAOA could become a performance
    bottleneck. This motivates studies of the optimization landscape and search for
    heuristic ways of parameter initialization. In this work we visualize the optimization
    landscape of the QAOA applied to the MaxCut problem on random graphs, demonstrating
    that random initialization of the QAOA is prone to converging to local minima
    with suboptimal performance. We introduce the initialization of QAOA parameters
    based on the Trotterized quantum annealing (TQA) protocol, parameterized by the
    Trotter time step. We find that the TQA initialization allows to circumvent\r\nthe
    issue of false minima for a broad range of time steps, yielding the same performance
    as the best result out of an exponentially scaling number of random initializations.
    Moreover, we demonstrate that the optimal value of the time step coincides with
    the point of proliferation of Trotter errors in quantum annealing. Our results
    suggest practical ways of initializing QAOA protocols on near-term quantum devices
    and reveal new connections between QAOA and quantum annealing."
acknowledgement: We would like to thank D. Abanin and R. Medina for fruitful discussions
  and A. Smith and I. Kim for valuable feedback on the manuscript. We acknowledge
  support by the European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation program (Grant Agreement No. 850899).
article_number: '491'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Stefan
  full_name: Sack, Stefan
  id: dd622248-f6e0-11ea-865d-ce382a1c81a5
  last_name: Sack
  orcid: 0000-0001-5400-8508
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Sack S, Serbyn M. Quantum annealing initialization of the quantum approximate
    optimization algorithm. <i>Quantum</i>. 2021;5. doi:<a href="https://doi.org/10.22331/Q-2021-07-01-491">10.22331/Q-2021-07-01-491</a>
  apa: Sack, S., &#38; Serbyn, M. (2021). Quantum annealing initialization of the
    quantum approximate optimization algorithm. <i>Quantum</i>. Verein zur Förderung
    des Open Access Publizierens in den Quantenwissenschaften. <a href="https://doi.org/10.22331/Q-2021-07-01-491">https://doi.org/10.22331/Q-2021-07-01-491</a>
  chicago: Sack, Stefan, and Maksym Serbyn. “Quantum Annealing Initialization of the
    Quantum Approximate Optimization Algorithm.” <i>Quantum</i>. Verein zur Förderung
    des Open Access Publizierens in den Quantenwissenschaften, 2021. <a href="https://doi.org/10.22331/Q-2021-07-01-491">https://doi.org/10.22331/Q-2021-07-01-491</a>.
  ieee: S. Sack and M. Serbyn, “Quantum annealing initialization of the quantum approximate
    optimization algorithm,” <i>Quantum</i>, vol. 5. Verein zur Förderung des Open
    Access Publizierens in den Quantenwissenschaften, 2021.
  ista: Sack S, Serbyn M. 2021. Quantum annealing initialization of the quantum approximate
    optimization algorithm. Quantum. 5, 491.
  mla: Sack, Stefan, and Maksym Serbyn. “Quantum Annealing Initialization of the Quantum
    Approximate Optimization Algorithm.” <i>Quantum</i>, vol. 5, 491, Verein zur Förderung
    des Open Access Publizierens in den Quantenwissenschaften, 2021, doi:<a href="https://doi.org/10.22331/Q-2021-07-01-491">10.22331/Q-2021-07-01-491</a>.
  short: S. Sack, M. Serbyn, Quantum 5 (2021).
date_created: 2021-08-01T22:01:21Z
date_published: 2021-07-01T00:00:00Z
date_updated: 2023-12-13T14:47:25Z
day: '01'
ddc:
- '530'
department:
- _id: GradSch
- _id: MaSe
doi: 10.22331/Q-2021-07-01-491
ec_funded: 1
external_id:
  arxiv:
  - '2101.05742'
  isi:
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has_accepted_license: '1'
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month: '07'
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oa_version: Published Version
project:
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  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Quantum
publication_identifier:
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publication_status: published
publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
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scopus_import: '1'
status: public
title: Quantum annealing initialization of the quantum approximate optimization algorithm
tmp:
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user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
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...
