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  • Open Access

Quantum complexity fluctuations from nuclear and hypernuclear forces

Caroline E. P. Robin1,2,* and Martin J. Savage3,†,‡

  • *Contact author: crobin@physik.uni-bielefeld.de
  • †Contact author: mjs5@uw.edu
  • ‡On leave from the Institute for Nuclear Theory.
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Phys. Rev. C 112, 044004 – Published 17 October, 2025

DOI: https://doi.org/10.1103/r8rq-y9tb

Abstract

Toward an improved understanding of the role of quantum information in nuclei and exotic matter, we examine the quantum magic (nonstabilizerness) in low-energy strong interaction processes. As stabilizer states can be prepared efficiently using classical computers, and include classes of entangled states, it is quantum magic and fluctuations in quantum magic, together with entanglement, that determine computational resource requirements. As a measure of fluctuations in quantum magic, and hence the severity of the exponentially scaling classical computing resource requirements, induced by scattering, the “magic power” of the S-matrix is introduced. This provides indirect experimental constraints on quantum resources required to model nuclei and dense matter using fault-tolerant quantum computers. Using experimentally determined scattering phase shifts and mixing parameters, the magic power in nucleon-nucleon and hyperon-nucleon scattering, along with the magic in the deuteron, are found to exhibit interesting and distinct features. The Σ−-baryon is identified as a potential candidate catalyst for enhanced spreading of magic and entanglement in dense matter, depending on in-medium decoherence.

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Phys. Rev. C 112, 044004– Published 17 October, 2025
  • Received 20 June 2024
  • Revised 19 August 2025
  • Accepted 12 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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