Realization of the Werner–Holevo and Landau–Streater Quantum Channels for Qutrits on Quantum Computers
A I Pakhomchik
1
,
I Feshchenko
1, 2
,
A. Glatz
3
,
V.M. VINOKUR
3
,
A.V. LEBEDEV
1
,
S N Filippov
1, 4, 5
,
G.B. Lesovik
1
Publication type: Journal Article
Publication date: 2020-01-01
scimago Q3
wos Q4
SJR: 0.202
CiteScore: 1.7
Impact factor: 0.8
ISSN: 10712836, 15738760
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.
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RIS
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TY - JOUR
DO - 10.1007/s10946-020-09846-0
UR - https://doi.org/10.1007/s10946-020-09846-0
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 - Filippov, S N
AU - Lesovik, G.B.
PY - 2020
DA - 2020/01/01
PB - Springer Nature
SP - 40-53
IS - 1
VL - 41
SN - 1071-2836
SN - 1573-8760
ER -
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BibTex (up to 50 authors)
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@article{2020_Pakhomchik,
author = {A I Pakhomchik and I Feshchenko and A. Glatz and V.M. VINOKUR and A.V. LEBEDEV and S N Filippov and G.B. Lesovik},
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/s10946-020-09846-0},
number = {1},
pages = {40--53},
doi = {10.1007/s10946-020-09846-0}
}
Cite this
MLA
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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, vol. 41, no. 1, Jan. 2020, pp. 40-53. https://doi.org/10.1007/s10946-020-09846-0.
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