IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v13y2022i1d10.1038_s41467-022-32094-6.html
   My bibliography  Save this article

Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays

Author

Listed:
  • Yue Wu

    (Yale University)

  • Shimon Kolkowitz

    (University of Wisconsin-Madison)

  • Shruti Puri

    (Yale University)

  • Jeff D. Thompson

    (Princeton University)

Abstract

Executing quantum algorithms on error-corrected logical qubits is a critical step for scalable quantum computing, but the requisite numbers of qubits and physical error rates are demanding for current experimental hardware. Recently, the development of error correcting codes tailored to particular physical noise models has helped relax these requirements. In this work, we propose a qubit encoding and gate protocol for 171Yb neutral atom qubits that converts the dominant physical errors into erasures, that is, errors in known locations. The key idea is to encode qubits in a metastable electronic level, such that gate errors predominantly result in transitions to disjoint subspaces whose populations can be continuously monitored via fluorescence. We estimate that 98% of errors can be converted into erasures. We quantify the benefit of this approach via circuit-level simulations of the surface code, finding a threshold increase from 0.937% to 4.15%. We also observe a larger code distance near the threshold, leading to a faster decrease in the logical error rate for the same number of physical qubits, which is important for near-term implementations. Erasure conversion should benefit any error correcting code, and may also be applied to design new gates and encodings in other qubit platforms.

Suggested Citation

  • Yue Wu & Shimon Kolkowitz & Shruti Puri & Jeff D. Thompson, 2022. "Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-32094-6
    DOI: 10.1038/s41467-022-32094-6
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-32094-6
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-022-32094-6?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. Dolev Bluvstein & Harry Levine & Giulia Semeghini & Tout T. Wang & Sepehr Ebadi & Marcin Kalinowski & Alexander Keesling & Nishad Maskara & Hannes Pichler & Markus Greiner & Vladan Vuletić & Mikhail D, 2022. "A quantum processor based on coherent transport of entangled atom arrays," Nature, Nature, vol. 604(7906), pages 451-456, April.
    2. Laird Egan & Dripto M. Debroy & Crystal Noel & Andrew Risinger & Daiwei Zhu & Debopriyo Biswas & Michael Newman & Muyuan Li & Kenneth R. Brown & Marko Cetina & Christopher Monroe, 2021. "Fault-tolerant control of an error-corrected qubit," Nature, Nature, vol. 598(7880), pages 281-286, October.
    3. M. H. Abobeih & Y. Wang & J. Randall & S. J. H. Loenen & C. E. Bradley & M. Markham & D. J. Twitchen & B. M. Terhal & T. H. Taminiau, 2022. "Fault-tolerant operation of a logical qubit in a diamond quantum processor," Nature, Nature, vol. 606(7916), pages 884-889, June.
    4. Katrina Barnes & Peter Battaglino & Benjamin J. Bloom & Kayleigh Cassella & Robin Coxe & Nicole Crisosto & Jonathan P. King & Stanimir S. Kondov & Krish Kotru & Stuart C. Larsen & Joseph Lauigan & Bri, 2022. "Assembly and coherent control of a register of nuclear spin qubits," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    5. E. Knill & R. Laflamme & G. J. Milburn, 2001. "A scheme for efficient quantum computation with linear optics," Nature, Nature, vol. 409(6816), pages 46-52, January.
    6. Sepehr Ebadi & Tout T. Wang & Harry Levine & Alexander Keesling & Giulia Semeghini & Ahmed Omran & Dolev Bluvstein & Rhine Samajdar & Hannes Pichler & Wen Wei Ho & Soonwon Choi & Subir Sachdev & Marku, 2021. "Quantum phases of matter on a 256-atom programmable quantum simulator," Nature, Nature, vol. 595(7866), pages 227-232, July.
    7. J. Pablo Bonilla Ataides & David K. Tuckett & Stephen D. Bartlett & Steven T. Flammia & Benjamin J. Brown, 2021. "The XZZX surface code," Nature Communications, Nature, vol. 12(1), pages 1-12, December.
    8. Lukas Postler & Sascha Heuβen & Ivan Pogorelov & Manuel Rispler & Thomas Feldker & Michael Meth & Christian D. Marciniak & Roman Stricker & Martin Ringbauer & Rainer Blatt & Philipp Schindler & Markus, 2022. "Demonstration of fault-tolerant universal quantum gate operations," Nature, Nature, vol. 605(7911), pages 675-680, May.
    9. Pascal Scholl & Michael Schuler & Hannah J. Williams & Alexander A. Eberharter & Daniel Barredo & Kai-Niklas Schymik & Vincent Lienhard & Louis-Paul Henry & Thomas C. Lang & Thierry Lahaye & Andreas M, 2021. "Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms," Nature, Nature, vol. 595(7866), pages 233-238, July.
    10. A. Grimm & N. E. Frattini & S. Puri & S. O. Mundhada & S. Touzard & M. Mirrahimi & S. M. Girvin & S. Shankar & M. H. Devoret, 2020. "Stabilization and operation of a Kerr-cat qubit," Nature, Nature, vol. 584(7820), pages 205-209, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yao Lu & Aniket Maiti & John W. O. Garmon & Suhas Ganjam & Yaxing Zhang & Jahan Claes & Luigi Frunzio & Steven M. Girvin & Robert J. Schoelkopf, 2023. "High-fidelity parametric beamsplitting with a parity-protected converter," Nature Communications, Nature, vol. 14(1), pages 1-11, December.

    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. Ziqian Li & Tanay Roy & David Rodríguez Pérez & Kan-Heng Lee & Eliot Kapit & David I. Schuster, 2024. "Autonomous error correction of a single logical qubit using two transmons," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    2. Luheng Zhao & Michael Dao Kang Lee & Mohammad Mujahid Aliyu & Huanqian Loh, 2023. "Floquet-tailored Rydberg interactions," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    3. Neereja Sundaresan & Theodore J. Yoder & Youngseok Kim & Muyuan Li & Edward H. Chen & Grace Harper & Ted Thorbeck & Andrew W. Cross & Antonio D. Córcoles & Maika Takita, 2023. "Demonstrating multi-round subsystem quantum error correction using matching and maximum likelihood decoders," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    4. Shankar G. Menon & Noah Glachman & Matteo Pompili & Alan Dibos & Hannes Bernien, 2024. "An integrated atom array-nanophotonic chip platform with background-free imaging," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    5. Grigory E. Astrakharchik & Luis A. Peña Ardila & Krzysztof Jachymski & Antonio Negretti, 2023. "Many-body bound states and induced interactions of charged impurities in a bosonic bath," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    6. 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.
    7. Katrina Barnes & Peter Battaglino & Benjamin J. Bloom & Kayleigh Cassella & Robin Coxe & Nicole Crisosto & Jonathan P. King & Stanimir S. Kondov & Krish Kotru & Stuart C. Larsen & Joseph Lauigan & Bri, 2022. "Assembly and coherent control of a register of nuclear spin qubits," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    8. Daniel Stilck França & Liubov A. Markovich & V. V. Dobrovitski & Albert H. Werner & Johannes Borregaard, 2024. "Efficient and robust estimation of many-qubit Hamiltonians," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    9. Gyungmin Cho & Dohun Kim, 2024. "Machine learning on quantum experimental data toward solving quantum many-body problems," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    10. Hu, Jie-Ru & Zhang, Zuo-Yuan & Liu, Jin-Ming, 2024. "Implementation of three-qubit Deutsch-Jozsa algorithm with pendular states of polar molecules by optimal control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    11. Jin Ming Koh & Tommy Tai & Ching Hua Lee, 2024. "Realization of higher-order topological lattices on a quantum computer," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    12. María José Viana Cleves & Gerardo Barbosa Castillo & Andrés Rolando Ciro Gómez & Édgar Solano González, 2022. "Líneas estructurales para la Fuerza Pública: medioambiente e inteligencia militar," Books, Universidad Externado de Colombia, Facultad de Derecho, number 1330, htpr_v3_i.
    13. M. Akhtar & F. Bonus & F. R. Lebrun-Gallagher & N. I. Johnson & M. Siegele-Brown & S. Hong & S. J. Hile & S. A. Kulmiya & S. Weidt & W. K. Hensinger, 2023. "A high-fidelity quantum matter-link between ion-trap microchip modules," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    14. Kamil Wereszczyński & Agnieszka Michalczuk & Marcin Paszkuta & Jacek Gumiela, 2022. "High-Precision Voltage Measurement for Optical Quantum Computation," Energies, MDPI, vol. 15(12), pages 1-12, June.
    15. Cristóbal Lledó & Rémy Dassonneville & Adrien Moulinas & Joachim Cohen & Ross Shillito & Audrey Bienfait & Benjamin Huard & Alexandre Blais, 2023. "Cloaking a qubit in a cavity," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    16. Liang Xiang & Jiachen Chen & Zitian Zhu & Zixuan Song & Zehang Bao & Xuhao Zhu & Feitong Jin & Ke Wang & Shibo Xu & Yiren Zou & Hekang Li & Zhen Wang & Chao Song & Alexander Yue & Justine Partridge & , 2024. "Enhanced quantum state transfer by circumventing quantum chaotic behavior," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    17. Lukasz Komza & Polnop Samutpraphoot & Mutasem Odeh & Yu-Lung Tang & Milena Mathew & Jiu Chang & Hanbin Song & Myung-Ki Kim & Yihuang Xiong & Geoffroy Hautier & Alp Sipahigil, 2024. "Indistinguishable photons from an artificial atom in silicon photonics," Nature Communications, Nature, vol. 15(1), pages 1-5, December.
    18. Dylan Harley & Ishaun Datta & Frederik Ravn Klausen & Andreas Bluhm & Daniel Stilck França & Albert H. Werner & Matthias Christandl, 2024. "Going beyond gadgets: the importance of scalability for analogue quantum simulators," Nature Communications, Nature, vol. 15(1), pages 1-16, December.
    19. Jann Michael Weinand & Kenneth Sorensen & Pablo San Segundo & Max Kleinebrahm & Russell McKenna, 2020. "Research trends in combinatorial optimisation," Papers 2012.01294, arXiv.org.
    20. G. L. Stolpe & D. P. Kwiatkowski & C. E. Bradley & J. Randall & M. H. Abobeih & S. A. Breitweiser & L. C. Bassett & M. Markham & D. J. Twitchen & T. H. Taminiau, 2024. "Mapping a 50-spin-qubit network through correlated sensing," Nature Communications, Nature, vol. 15(1), pages 1-9, 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:13:y:2022:i:1:d:10.1038_s41467-022-32094-6. 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.