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International Conference on Computer Science, Engineering and Education Applications

ICCSEEA 2019: Advances in Computer Science for Engineering and Education II pp 428–437Cite as

Effect of the Noise on Generalized Peres Gate Operation

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 938))

Abstract

The advantages of quantum computing may be lost due to the presence of various noises in real quantum devices. In this paper, generalized Peres gates are studied using a solid-state model of a linear chain of atoms with nuclear spin one half, which is implanted in a spin-free silicon matrix. The effect of frequency noise on the correctness of gates operation is investigated on the example of the one- and two-step algorithmic transitions. It is shown for the first time that an imbalance by the magnitude of the resonance control frequency leads to a significant decrease in the fidelity of correct gate operation on the digital states. While for the superposition input signals stabilization of the fidelity is observed to a level of 0.4–0.8 with an increase in the imbalance of the resonance frequency. A similar effect takes place at time deviation of the frequency around the resonant value. Minimum values of the frequency imbalance parameters, which ensure correctness of the generalized Peres gate operation, are proposed.

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Authors and Affiliations

  1. Yuriy Fedkovych Chernivtsi National University, Chernivtsi, Ukraine

    I. M. Yuriychuk & V. G. Deibuk

  2. School of Educational Information Technology, Central China Normal University, Wuhan, China

    Zhengbing Hu

Authors
  1. I. M. Yuriychuk
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  2. Zhengbing Hu
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  3. V. G. Deibuk
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Corresponding author

Correspondence to V. G. Deibuk .

Editor information

Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. “Igor Sikorsky Kiev Polytechnic Institute”, National Technical University of Ukraine, Kiev, Ukraine

    Ivan Dychka

  4. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Ft. Lauderdale, FL, USA

    Matthew He

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Yuriychuk, I.M., Hu, Z., Deibuk, V.G. (2020). Effect of the Noise on Generalized Peres Gate Operation. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education II. ICCSEEA 2019. Advances in Intelligent Systems and Computing, vol 938. Springer, Cham. https://doi.org/10.1007/978-3-030-16621-2_40

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