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A Facile Two-Step Method to Implement \(N\sqrt {i\text {SWAP}}\) and \(N\sqrt {\text {SWAP}}\) Gates in a Circuit QED

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Abstract

We propose a way for implementing a two-step \(N\sqrt {i\text {SWAP}}\) and \(N \sqrt {\text {SWAP}}\) gates based on the qubit-qubit interaction with \(N\) superconducting qubits, by coupling them to a resonator driven by a strong microwave field. The operation times do not increase with the growth of the qubit number. Due to the virtual excitations of the resonator, the scheme is insensitive to the decay of the resonator. Numerical analysis shows that the scheme can be implemented with high fidelity. Moreover, we propose a detailed procedure and analyze the experimental feasibility. So, our proposal can be experimentally realized in the range of current circuit QED techniques.

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Authors and Affiliations

  1. Laboratoire de Physique de la Matière Condensée, Equipe Physique Quantique et Applications, Faculté des Sciences Ben M’sik, Université Hassan II, B.P. 7955, Casablanca, Morocco

    T. Said, A. Chouikh & M. Bennai

  2. LPHE-Modelisation et Simulation, Faculté des Sciences Rabat, Rabat, Morocco

    M. Bennai

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  1. T. Said
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  2. A. Chouikh
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  3. M. Bennai
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Correspondence to T. Said.

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Said, T., Chouikh, A. & Bennai, M. A Facile Two-Step Method to Implement \(N\sqrt {i\text {SWAP}}\) and \(N\sqrt {\text {SWAP}}\) Gates in a Circuit QED. Int J Theor Phys 57, 2536–2545 (2018). https://doi.org/10.1007/s10773-018-3775-6

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  • DOI: https://doi.org/10.1007/s10773-018-3775-6

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