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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

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

arXiv
Authors: Yuliya Bilinskaya, Miguel F. Martínez, Soumi Ghosh, Thomas Klein Kvorning, Claudia Artiaco, Jens H. Bardarson

Year

2025

Paper ID

17830

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

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, 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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We study nonstabilizerness on the information lattice, and demonstrate that noninteger local information directly indicates nonstabilizerness.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.26696 [2] arXiv https://arxiv.org/abs/2510.26696 [3] Publisher https://arxiv.org/abs/2510.26696

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