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Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers

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Journal of Russian Laser Research Aims and scope

Abstract

We realize the Landau–Streater (LS) and Werner–Holevo (WH) quantum channels for qutrits on IBM quantum computers. These channels correspond to the interaction between a qutrit and its environment that results in the globally unitarily covariant qutrit transformation violating the multiplicativity of the maximal p-norm. Our realization of the LS and WH channels is based on embedding the qutrit states into states of two qubits and using the single-qubit and two-qubit CNOT gates to implement the specific interaction. We employ the standard quantum gates, hence the developed algorithm suits any quantum computer. We run our algorithm on a 5-qubit computer and a 20-qubit computer, as well as on a simulator. We quantify the quality of the implemented channels comparing their action on different input states with theoretical predictions. The overall efficiency is quantified by the fidelity between the theoretical and experimental Choi states implemented on the 20-qubit computer.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Region, Russia

    A. I. Pakhomchik, I. Feshchenko, A. V. Lebedev, S. N. Filippov & G. B. Lesovik

  2. Skolkovo Institute of Science and Technology, Moscow Region, Russia

    I. Feshchenko

  3. Materials Science Division, Argonne National Laboratory, Argonne, IL, USA

    A. Glatz & V. M. Vinokur

  4. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    S. N. Filippov

  5. Valiev Institute of Physics and Technology, Russian Academy of Sciences, Moscow, Russia

    S. N. Filippov

Authors
  1. A. I. Pakhomchik
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  2. I. Feshchenko
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  3. A. Glatz
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  4. V. M. Vinokur
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  5. A. V. Lebedev
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  6. S. N. Filippov
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  7. G. B. Lesovik
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Correspondence to G. B. Lesovik.

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Pakhomchik, A.I., Feshchenko, I., Glatz, A. et al. Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers. J Russ Laser Res 41, 40–53 (2020). https://doi.org/10.1007/s10946-020-09846-0

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  • DOI: https://doi.org/10.1007/s10946-020-09846-0

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