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Realization of the quantum CNOT gate based on multiphoton process in multimode Cavity QED

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Abstract

We propose a scheme for implementing the CNOT gate in which the photonic qubits encoded on the cavity modes and a four-level atom passes through the cavity. The location of the resonance is predicted from the use of effective three-level Hamiltonian. First, we have theoretically studied the interaction of multi-level atom with multi-mode fields in a cavity by using the shore’s method. Next we have numerically calculated the probability of the state of the interest as well as the fidelity of this scheme. We have also used the wave-function and the density matrix approaches to study theoretically and numerically the effects of decoherence in the implementation of the gate.

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Authors and Affiliations

  1. Physics and Quantum Technology Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco

    M. Hammani, A. Chouikh, T. Said & M. Bennai

  2. Lab of High Energy Physics, Modeling and Simulations, Faculty of Science, University Mohammed V-Agdal, Rabat, Morocco

    M. Bennai

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  1. M. Hammani
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  2. A. Chouikh
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  4. M. Bennai
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Hammani, M., Chouikh, A., Said, T. et al. Realization of the quantum CNOT gate based on multiphoton process in multimode Cavity QED. Opt Quant Electron 53, 89 (2021). https://doi.org/10.1007/s11082-020-02685-y

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