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  • Letter
  • Open Access

Fitness landscape for quantum state tomography from neutron scattering

Tymoteusz Tula, Jorge Quintanilla*, and Gunnar Möller†

  • Physics of Quantum and Materials Group, School of Engineering, Mathematics and Physics, University of Kent, Canterbury, Kent CT2 7NH, United Kingdom

  • *Contact author: J.Quintanilla@kent.ac.uk
  • †Contact author: G.Moller@kent.ac.uk
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Phys. Rev. B 112, L140402 – Published 16 October, 2025

DOI: https://doi.org/10.1103/x9mb-x1gz

Abstract

Recently, a direct connection between static structure factors and quantum ground states for two-spin interaction Hamiltonians was proven. This suggests the possibility of quantum state tomography from neutron scattering. Here, we investigate the associated fitness landscape numerically. We find a linear relationship between the mean-square distances of structure factors and associated state overlaps, implying a well-behaved fitness landscape. Furthermore, we find evidence suggesting that the approach can be generalized to thermal equilibrium states. We also extend the arguments to the cases of applied magnetic fields and finite clusters.

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References (37)

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Phys. Rev. B 112, L140402– Published 16 October, 2025
  • Received 27 January 2025
  • Accepted 15 July 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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