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Toffoli gate with photonic qubits based on weak cross-Kerr nonlinearities

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Abstract

We design an experimental feasible Toffoli gate, comprising nonlinear optical gates via cross-Kerr nonlinearities (XKNLs) and linear optical devices, on three photonic qubits (photons). The Toffoli gate is a three-qubit universal quantum controlled gate for various quantum information processing schemes. Thus, we propose an efficient method to construct a Toffoli gate using nonlinear optical gates that employ weak XKNLs, quantum bus beams, and photon-number-resolving measurements. Furthermore, to ensure the reliable performance of the Toffoli gate (via XKNLs), we describe an experimental condition to reduce the influence (photon loss and dephasing) of the decoherence effect induced in nonlinear optical gates.

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Acknowledgments

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2021R1C1C2003302), by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2019R1A2C1006167), by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2020R1A6A1A12047945).

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Authors and Affiliations

  1. Research Institute for Computer and Information Communication (RICIC), Chungbuk National University, Chungdae-ro 1, Seowon-Gu, Cheongju, Korea

    Jino Heo & Seong-Gon Choi

  2. College of Electrical and Computer Engineering, Chungbuk National University, Chungdae-ro 1, Seowon-Gu, Cheongju, Korea

    Seong-Gon Choi

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  1. Jino Heo
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Correspondence to Seong-Gon Choi.

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Heo, J., Choi, SG. Toffoli gate with photonic qubits based on weak cross-Kerr nonlinearities. Quantum Inf Process 20, 345 (2021). https://doi.org/10.1007/s11128-021-03279-7

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