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Analysis of Pulse Electron–Electron Double Resonance (PELDOR) Data on a Quantum Computer

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Abstract

Quantum processing units (QPU) in theory propose a computational supremacy in a significant number of tasks. Quantum programs are well suited for vector and matrix data processing. The greatest concern is whether physical implementations will step over the noise and decoherence limitations: today in the noisy intermediate-scale quantum (NISQ) era the bigger the problem, the less reliable the results are. In this work, we show that even NISQ computers can be used to obtain reliable results in processing experimental data. We perform quantum Fourier transform (QFT) of PELDOR oscillation at IonQ trapped ion QPU followed by spin labels’ distance measurement by analysis of oscillation data. For 4 and 5-qubit programs, we show the results comparable to Fourier analysis on a classical computer.

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Acknowledgements

The authors acknowledge the financial support from the government assignment for FRC Kazan Scientific Center of RAS for supporting of this research activity and the CSF-SAC FRC KSC RAS for providing necessary facilities to carry out this work. The authors thankful to Prof. Gunnar Jeschke (ETH Zürich, Switzerland) and Prof. Yury G. Galyametdinov (Kazan National Research Technological University, Russia) for providing of the biradicals.

Funding

This research was funded by Ministry of Science and Higher Education of the Russian Federation, Registration Number 122011800133-2.

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Authors and Affiliations

  1. Innopolis University, Innopolis, Russian Federation

    S. I. Protasov

  2. Zavoisky Physical-Technical Institute, FRC Kazan Scientific Center, Russian Academy of Sciences, Kazan, Russian Federation

    R. B. Zaripov, I. T. Khairutdinov & K. M. Salikhov

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  1. S. I. Protasov
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  2. R. B. Zaripov
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  3. I. T. Khairutdinov
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  4. K. M. Salikhov
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Contributions

KMS and SIP wrote the main manuscript text and SIP performed all calculations on QPU. RBZ performed measurements of experimental data. ITK wrote text about PELDOR and frequency distribution function. All authors reviewed the manuscript.

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Correspondence to I. T. Khairutdinov.

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Protasov, S.I., Zaripov, R.B., Khairutdinov, I.T. et al. Analysis of Pulse Electron–Electron Double Resonance (PELDOR) Data on a Quantum Computer. Appl Magn Reson 53, 1539–1561 (2022). https://doi.org/10.1007/s00723-022-01495-7

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