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Detection of energy levels of a spin system on a quantum computer by probe spin evolution

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Abstract

We propose a method for detection of energy levels of arbitrary spin system on a quantum computer based on studies of evolution of only one probe spin. On the basis of the proposed method energy levels of spin systems are found on IBM’s quantum computer ibmq-bogota, among them are spin chain in magnetic field, triangle spin cluster, Ising model on squared lattice, a spin in magnetic field. The results of quantum calculations are in agreement with the theoretical ones. The method is efficient for estimation of the energy levels of many-spin systems and opens a possibility to achieve quantum supremacy in solving eigenvalue problem with development of multi-qubit quantum computers.

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Data Availability Statement

This manuscript has associated data in a data repository [Authors’ comment: The data can be found in the text and references of the paper.]

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Acknowledgements

This work was supported by Project 2020.02/0196 (No. 0120U104801) from National Research Foundation of Ukraine.

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Authors and Affiliations

  1. Professor Ivan Vakarchuk Department for Theoretical Physics, Ivan Franko National University of Lviv, 12, Drahomanov St., Lviv, 79005, Ukraine

    Kh. P. Gnatenko & V. M. Tkachuk

  2. Department of Applied Physics and Nanomaterials Science, Lviv Polytechnic National University, 5 Ustiyanovych St., Lviv, 79013, Ukraine

    H. P. Laba

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  1. Kh. P. Gnatenko
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  2. H. P. Laba
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  3. V. M. Tkachuk
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Correspondence to Kh. P. Gnatenko.

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Detection of energy levels of a spin system on a quantum computer.

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Gnatenko, K.P., Laba, H.P. & Tkachuk, V.M. Detection of energy levels of a spin system on a quantum computer by probe spin evolution. Eur. Phys. J. Plus 137, 522 (2022). https://doi.org/10.1140/epjp/s13360-022-02753-0

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