IDEAS home Printed from https://ideas.repec.org/a/nat/nature/v409y2001i6816d10.1038_35051009.html
   My bibliography  Save this article

A scheme for efficient quantum computation with linear optics

Author

Listed:
  • E. Knill

    (Los Alamos National Laboratory, MS B265)

  • R. Laflamme

    (Los Alamos National Laboratory, MS B265)

  • G. J. Milburn

    (Centre for Quantum Computer Technology, University of Queensland)

Abstract

Quantum computers promise to increase greatly the efficiency of solving problems such as factoring large integers, combinatorial optimization and quantum physics simulation. One of the greatest challenges now is to implement the basic quantum-computational elements in a physical system and to demonstrate that they can be reliably and scalably controlled. One of the earliest proposals for quantum computation is based on implementing a quantum bit with two optical modes containing one photon. The proposal is appealing because of the ease with which photon interference can be observed. Until now, it suffered from the requirement for non-linear couplings between optical modes containing few photons. Here we show that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors. Our methods exploit feedback from photo-detectors and are robust against errors from photon loss and detector inefficiency. The basic elements are accessible to experimental investigation with current technology.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:nature:v:409:y:2001:i:6816:d:10.1038_35051009
    DOI: 10.1038/35051009
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/35051009
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1038/35051009?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Yasuko Kawahata, 2024. "Entanglement: Balancing Punishment and Compensation, Repeated Dilemma Game-Theoretic Analysis of Maximum Compensation Problem for Bypass and Least Cost Paths in Fact-Checking, Case of Fake News with W," Papers 2403.02342, arXiv.org, revised Apr 2024.
    2. Jann Michael Weinand & Kenneth Sorensen & Pablo San Segundo & Max Kleinebrahm & Russell McKenna, 2020. "Research trends in combinatorial optimisation," Papers 2012.01294, arXiv.org.
    3. Zenonas Navickas & Tadas Telksnys & Inga Timofejeva & Minvydas Ragulskis & Romas Marcinkevicius, 2019. "An Analytical Scheme For The Analysis Of Multi-Hump Solitons," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-17, February.
    4. Lukas Husel & Julian Trapp & Johannes Scherzer & Xiaojian Wu & Peng Wang & Jacob Fortner & Manuel Nutz & Thomas Hümmer & Borislav Polovnikov & Michael Förg & David Hunger & YuHuang Wang & Alexander Hö, 2024. "Cavity-enhanced photon indistinguishability at room temperature and telecom wavelengths," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    5. Dmitry Makarov & Eugeny Gusarevich & Ksenia Makarova, 2023. "Nonlinear Scattering Matrix in Quantum Optics," Mathematics, MDPI, vol. 11(22), pages 1-9, November.
    6. Dmitry Makarov, 2022. "Theory for the Beam Splitter in Quantum Optics: Quantum Entanglement of Photons and Their Statistics, HOM Effect," Mathematics, MDPI, vol. 10(24), pages 1-25, December.
    7. Huan Zhao & Michael T. Pettes & Yu Zheng & Han Htoon, 2021. "Site-controlled telecom-wavelength single-photon emitters in atomically-thin MoTe2," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    8. 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.
    9. 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.

    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:nature:v:409:y:2001:i:6816:d:10.1038_35051009. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.