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CNOT gate on reverse photon modes in a ring cavity

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Abstract

Photon modes of the reverse rotation in a ring QED cavity coupled with a single atom are considered. By applying the Schrieffer–Wolf transformation for the off-resonant light–atom interaction, an effective Hamiltonian of the photon modes evolution is obtained. Heisenberg equations for the input–output photon mode operators are written, and the expression for the wave function of the system is found. The analytical solution shows the condition of the control NOT quantum gate implementation on chiral photon modes. A possible on-chip experimental implementation and recommendations for the construction of an optical quantum computer using this gate are considered.

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Authors and Affiliations

  1. Institute for Applied Research of Tatarstan Academy of Sciences, 36a Levobulachnaya Street, Kazan, Russian Federation, 422111

    Sergey N. Andrianov

  2. Kazan Quantum Center of Kazan National Research Technical University, 10 K. Marx Street, Kazan, Russian Federation, 420111

    Narkis M. Arslanov, Konstantin I. Gerasimov & Sergey A. Moiseev

  3. Quantum Technologies Centre, Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow, 119991, Russia

    Alexander A. Kalinkin

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  1. Sergey N. Andrianov
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Correspondence to Sergey A. Moiseev.

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This work was funded by RFBR according to the research Project No. 17-02-00918.

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Andrianov, S.N., Arslanov, N.M., Gerasimov, K.I. et al. CNOT gate on reverse photon modes in a ring cavity. Quantum Inf Process 18, 235 (2019). https://doi.org/10.1007/s11128-019-2345-z

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