Journal of Russian Laser Research, volume 41, issue 1, pages 40-53

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

Pakhomchik A I ¹

Feshchenko I ^{1, 2}

Glatz A. ³

VINOKUR V.M. ³

LEBEDEV A.V. ¹

Filippov S N ^{1, 4, 5}

Lesovik G.B. ¹

Hide authors affiliations Show authors affiliations: 5 affiliations

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia |

Skolkovo Institute of Science and Technology, Moscow region, Russia |

Materials Science division, Argonne National Laboratory, Argonne, USA |

⁴

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia |

⁵

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

Publication type: Journal Article

Publication date: 2020-01-01

Springer Nature

Journal: Journal of Russian Laser Research

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Impact factor: 0.9

ISSN: 10712836, 15738760

DOI: 10.1007/s10946-020-09846-0

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Atomic and Molecular Physics, and Optics

Engineering (miscellaneous)

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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Pakhomchik A. I. et al. Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers // Journal of Russian Laser Research. 2020. Vol. 41. No. 1. pp. 40-53.

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Pakhomchik A. I., Feshchenko I., Glatz A., VINOKUR V., LEBEDEV A., Filippov S. N., Lesovik G. Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers // Journal of Russian Laser Research. 2020. Vol. 41. No. 1. pp. 40-53.

RIS |

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RIS Copy

TY - JOUR

DO - 10.1007/s10946-020-09846-0

UR - https://doi.org/10.1007%2Fs10946-020-09846-0

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

T2 - Journal of Russian Laser Research

AU - Pakhomchik, A I

AU - Feshchenko, I

AU - Glatz, A.

AU - VINOKUR, V.M.

AU - LEBEDEV, A.V.

AU - Lesovik, G.B.

AU - Filippov, S N

PY - 2020

DA - 2020/01/01 00:00:00

PB - Springer Nature

SP - 40-53

IS - 1

VL - 41

SN - 1071-2836

SN - 1573-8760

ER -

BibTex |

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BibTex Copy

@article{2020_Pakhomchik,

author = {A I Pakhomchik and I Feshchenko and A. Glatz and V.M. VINOKUR and A.V. LEBEDEV and G.B. Lesovik and S N Filippov},

title = {Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers},

journal = {Journal of Russian Laser Research},

year = {2020},

volume = {41},

publisher = {Springer Nature},

month = {jan},

url = {https://doi.org/10.1007%2Fs10946-020-09846-0},

number = {1},

pages = {40--53},

doi = {10.1007/s10946-020-09846-0}

}

MLA

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MLA Copy

Pakhomchik, A. I., et al. “Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers.” Journal of Russian Laser Research, vol. 41, no. 1, Jan. 2020, pp. 40-53. https://doi.org/10.1007%2Fs10946-020-09846-0.

Found error?

Publisher

Springer Nature

Journal

Journal of Russian Laser Research

Quartile SCImago

Quartile WOS

Impact factor

0.9

ISSN

10712836 (Print)
15738760 (Electronic)

Profiles

Lebedev, Andrey V