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Witnessing Short- and Long-Range Nonstabilizerness via the Information Lattice

Yuliya Bilinskaya*, Miguel F. Martínez*, Soumi Ghosh, Thomas Klein Kvorning, Claudia Artiaco, and Jens H. Bardarson

  • *These authors contributed equally to this work.
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Phys. Rev. Lett. 137, 190402 – Published 3 November, 2026

DOI: https://doi.org/10.1103/4t3l-hy7z

Abstract

We study nonstabilizerness on the information lattice and demonstrate that noninteger local information directly indicates nonstabilizerness. For states with a clear separation of short- and large-scale information, a noninteger total information at large scales Γ serves as a witness of long-range nonstabilizerness. We propose a folding procedure to separate the global and edge-to-edge contributions to Γ. As an example we show that the ferromagnetic ground state of the spin-1/2 three-state Potts model has long-range nonstabilizerness originating from global correlations, while the paramagnetic ground state has at most short-range nonstabilizerness.

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Phys. Rev. Lett. 137, 190402– Published 3 November, 2026
  • Received 25 November 2025
  • Revised 29 April 2026
  • Accepted 5 October 2026
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