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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
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    Citations

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    Cited by:

    1. 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.
    2. Dmitry Makarov & Eugeny Gusarevich & Ksenia Makarova, 2023. "Nonlinear Scattering Matrix in Quantum Optics," Mathematics, MDPI, vol. 11(22), pages 1-9, November.
    3. 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.
    4. 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.
    5. Jann Michael Weinand & Kenneth Sorensen & Pablo San Segundo & Max Kleinebrahm & Russell McKenna, 2020. "Research trends in combinatorial optimisation," Papers 2012.01294, arXiv.org.
    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. 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.

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