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A Quantum-Controlled NOT Gate Based on Four-Wave Mixing in a Cavity for Polarization Photonic Qubits

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The possibility of effectively creating quantum gates based on polarization photon qubits using a Kerr nonlinear medium in a cavity is studied. It is shown how a quantum C-NOT gate can be produced with such qubits through four-wave mixing. A theory of this gate’s operation is constructed using an input–output formalism, and conditions of parametric matching are obtained for effective gate operation.

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REFERENCES

  1. Ladd, T.D., Jelezko, F., Laflamme, R., et al., Nature, 2010, vol. 464, p. 45.

    Article  ADS  Google Scholar 

  2. Mohseni, M., Read, P., Neven, H., et al., Nature, 2017, vol. 543, p. 171.

    Article  ADS  Google Scholar 

  3. Knill, E., Laflamme, R., and Milburn, G., Nature, 2001, vol. 409, p. 46.

    Article  ADS  Google Scholar 

  4. Kok, P., Munro, W.J., Nemoto, K., et al., Rev. Mod. Phys., 2007, vol. 79, p. 135.

    Article  ADS  Google Scholar 

  5. Nemoto, K. and Munro, W.J., Phys. Rev. Lett., 2004, vol. 93, p. 250 502.

    Article  Google Scholar 

  6. D'Ariano, G.M., Macchiavello, C., and Maccone, L., Fortschr. Phys., 2000, vol. 48, p. 573.

    Article  Google Scholar 

  7. Walls, D.F. and Milburn, G.J., Quantum Optics, Berlin: Springer, 2008.

    Book  MATH  Google Scholar 

  8. Mandel, L. and Wolf, E., Optical Coherence and Quantum Optics, Cambridge Univ. Press, 1995.

    Book  Google Scholar 

  9. Pereira, S. and Sipe, J.E., Phys. Rev. E, 2002, vol. 65, p. 046 601.

    Article  Google Scholar 

  10. Kok, P., Lect. Notes Phys., 2010, vol. 787, p. 187.

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Author information

Authors and Affiliations

  1. Institute for Applied Research, Tatarstan Republic Academy of Sciences, 420111, Kazan, Russia

    S. N. Andrianov & O. P. Shindyaev

  2. Zavoisky Physicotechnical Institute, Kazan Scientific Center, Russian Academy of Sciences, 420029, Kazan, Russia

    A. A. Kalachev & A. V. Shkalikov

Authors
  1. S. N. Andrianov
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  2. A. A. Kalachev
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  3. O. P. Shindyaev
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  4. A. V. Shkalikov
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Corresponding author

Correspondence to S. N. Andrianov.

Additional information

Translated by K. Gumerov

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Cite this article

Andrianov, S.N., Kalachev, A.A., Shindyaev, O.P. et al. A Quantum-Controlled NOT Gate Based on Four-Wave Mixing in a Cavity for Polarization Photonic Qubits. Bull. Russ. Acad. Sci. Phys. 83, 381–383 (2019). https://doi.org/10.3103/S1062873819030389

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  • DOI: https://doi.org/10.3103/S1062873819030389

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