IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-46402-9.html
   My bibliography  Save this article

Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges

Author

Listed:
  • Benedikt Fauseweh

    (German Aerospace Center (DLR)
    TU Dortmund University)

Abstract

Simulating quantum many-body systems is a key application for emerging quantum processors. While analog quantum simulation has already demonstrated quantum advantage, its digital counterpart has recently become the focus of intense research interest due to the availability of devices that aim to realize general-purpose quantum computers. In this perspective, we give a selective overview of the currently pursued approaches, review the advances in digital quantum simulation by comparing non-variational with variational approaches and identify hardware and algorithmic challenges. Based on this review, the question arises: What are the most promising problems that can be tackled with digital quantum simulation? We argue that problems of a qualitative nature are much more suitable for near-term devices then approaches aiming purely for a quantitative accuracy improvement.

Suggested Citation

  • Benedikt Fauseweh, 2024. "Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46402-9
    DOI: 10.1038/s41467-024-46402-9
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-46402-9
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-024-46402-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Hannes Bernien & Sylvain Schwartz & Alexander Keesling & Harry Levine & Ahmed Omran & Hannes Pichler & Soonwon Choi & Alexander S. Zibrov & Manuel Endres & Markus Greiner & Vladan Vuletić & Mikhail D., 2017. "Probing many-body dynamics on a 51-atom quantum simulator," Nature, Nature, vol. 551(7682), pages 579-584, November.
    2. J. Zhang & G. Pagano & P. W. Hess & A. Kyprianidis & P. Becker & H. Kaplan & A. V. Gorshkov & Z.-X. Gong & C. Monroe, 2017. "Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator," Nature, Nature, vol. 551(7682), pages 601-604, November.
    3. T. M. Graham & Y. Song & J. Scott & C. Poole & L. Phuttitarn & K. Jooya & P. Eichler & X. Jiang & A. Marra & B. Grinkemeyer & M. Kwon & M. Ebert & J. Cherek & M. T. Lichtman & M. Gillette & J. Gilbert, 2022. "Multi-qubit entanglement and algorithms on a neutral-atom quantum computer," Nature, Nature, vol. 604(7906), pages 457-462, April.
    4. B. Keimer & S. A. Kivelson & M. R. Norman & S. Uchida & J. Zaanen, 2015. "From quantum matter to high-temperature superconductivity in copper oxides," Nature, Nature, vol. 518(7538), pages 179-186, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yukalov, V.I. & Yukalova, E.P. & Sornette, D., 2022. "Role of collective information in networks of quantum operating agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    2. Yuqian Zhao & Zhaohua Ma & Zhangzhen He & Haijun Liao & Yan-Cheng Wang & Junfeng Wang & Yuesheng Li, 2024. "Quantum annealing of a frustrated magnet," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    3. Weilun Jiang & Yuzhi Liu & Avraham Klein & Yuxuan Wang & Kai Sun & Andrey V. Chubukov & Zi Yang Meng, 2022. "Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    4. Yong Hu & Junzhang Ma & Yinxiang Li & Yuxiao Jiang & Dariusz Jakub Gawryluk & Tianchen Hu & Jérémie Teyssier & Volodymyr Multian & Zhouyi Yin & Shuxiang Xu & Soohyeon Shin & Igor Plokhikh & Xinloong H, 2024. "Phonon promoted charge density wave in topological kagome metal ScV6Sn6," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    5. A. Singh & H. Y. Huang & J. D. Xie & J. Okamoto & C. T. Chen & T. Watanabe & A. Fujimori & M. Imada & D. J. Huang, 2022. "Unconventional exciton evolution from the pseudogap to superconducting phases in cuprates," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    6. Alejandro Ruiz & Brandon Gunn & Yi Lu & Kalyan Sasmal & Camilla M. Moir & Rourav Basak & Hai Huang & Jun-Sik Lee & Fanny Rodolakis & Timothy J. Boyle & Morgan Walker & Yu He & Santiago Blanco-Canosa &, 2022. "Stabilization of three-dimensional charge order through interplanar orbital hybridization in PrxY1−xBa2Cu3O6+δ," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    7. Sami Dzsaber & Diego A. Zocco & Alix McCollam & Franziska Weickert & Ross McDonald & Mathieu Taupin & Gaku Eguchi & Xinlin Yan & Andrey Prokofiev & Lucas M. K. Tang & Bryan Vlaar & Laurel E. Winter & , 2022. "Control of electronic topology in a strongly correlated electron system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    8. C. C. Tam & M. Zhu & J. Ayres & K. Kummer & F. Yakhou-Harris & J. R. Cooper & A. Carrington & S. M. Hayden, 2022. "Charge density waves and Fermi surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+δ," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    9. Ziyuan Chen & Dong Li & Zouyouwei Lu & Yue Liu & Jiakang Zhang & Yuanji Li & Ruotong Yin & Mingzhe Li & Tong Zhang & Xiaoli Dong & Ya-Jun Yan & Dong-Lai Feng, 2023. "Charge order driven by multiple-Q spin fluctuations in heavily electron-doped iron selenide superconductors," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    10. Stefan Birnkammer & Alvise Bastianello & Michael Knap, 2022. "Prethermalization in one-dimensional quantum many-body systems with confinement," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    11. H. Suzuki & L. Wang & J. Bertinshaw & H. U. R. Strand & S. Käser & M. Krautloher & Z. Yang & N. Wentzell & O. Parcollet & F. Jerzembeck & N. Kikugawa & A. P. Mackenzie & A. Georges & P. Hansmann & H. , 2023. "Distinct spin and orbital dynamics in Sr2RuO4," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    12. Max Heyl & Kyosuke Adachi & Yuki M. Itahashi & Yuji Nakagawa & Yuichi Kasahara & Emil J. W. List-Kratochvil & Yusuke Kato & Yoshihiro Iwasa, 2022. "Vortex dynamics in the two-dimensional BCS-BEC crossover," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    13. J.-J. Wen & W. He & H. Jang & H. Nojiri & S. Matsuzawa & S. Song & M. Chollet & D. Zhu & Y.-J. Liu & M. Fujita & J. M. Jiang & C. R. Rotundu & C.-C. Kao & H.-C. Jiang & J.-S. Lee & Y. S. Lee, 2023. "Enhanced charge density wave with mobile superconducting vortices in La1.885Sr0.115CuO4," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    14. Mads C. Weber & Mael Guennou & Donald M. Evans & Constance Toulouse & Arkadiy Simonov & Yevheniia Kholina & Xiaoxuan Ma & Wei Ren & Shixun Cao & Michael A. Carpenter & Brahim Dkhil & Manfred Fiebig & , 2022. "Emerging spin–phonon coupling through cross-talk of two magnetic sublattices," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    15. Saizheng Cao & Chenchao Xu & Hiroshi Fukui & Taishun Manjo & Ying Dong & Ming Shi & Yang Liu & Chao Cao & Yu Song, 2023. "Competing charge-density wave instabilities in the kagome metal ScV6Sn6," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    16. Han Gao & Chao Ding & Jaeseok Son & Yangyu Zhu & Mingzheng Wang & Zhi Gen Yu & Jianing Chen & Le Wang & Scott A. Chambers & Tae Won Noh & Mingwen Zhao & Yangyang Li, 2022. "Ultra-flat and long-lived plasmons in a strongly correlated oxide," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    17. Feng Ke & Jiejuan Yan & Shanyuan Niu & Jiajia Wen & Ketao Yin & Hong Yang & Nathan R. Wolf & Yan-Kai Tzeng & Hemamala I. Karunadasa & Young S. Lee & Wendy L. Mao & Yu Lin, 2022. "Cesium-mediated electron redistribution and electron-electron interaction in high-pressure metallic CsPbI3," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    18. N. N. Wang & M. W. Yang & Z. Yang & K. Y. Chen & H. Zhang & Q. H. Zhang & Z. H. Zhu & Y. Uwatoko & L. Gu & X. L. Dong & J. P. Sun & K. J. Jin & J.-G. Cheng, 2022. "Pressure-induced monotonic enhancement of Tc to over 30 K in superconducting Pr0.82Sr0.18NiO2 thin films," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    19. Matthew J. O’Rourke & Garnet Kin-Lic Chan, 2023. "Entanglement in the quantum phases of an unfrustrated Rydberg atom array," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    20. Stuart J. Masson & Ana Asenjo-Garcia, 2022. "Universality of Dicke superradiance in arrays of quantum emitters," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46402-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.