What question did this study set out to answer?

This research aims to quantify the mutual information between topological sector labels and CHSH values in two-dimensional lattice models.

July 27, 2026Open Access

Sector-Dependent CHSH Violation in Fibonacci Anyons, and Finite-Size Topological–CHSH Mutual Information in 2D Lattice Models

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BSBerkay Yüksel SayimTochigi Prefectural Police

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Implication

This randomized trial quantifies CHSH violation in Fibonacci anyons and mutual information in lattice gauge theory, suggesting insights into topological order.

Key Points

This research aims to quantify the mutual information between topological sector labels and CHSH values in two-dimensional lattice models.
Conducted independent Monte Carlo runs on a Z_2 lattice gauge theory model on a 16x16 torus at inverse temperature β = 2.0.
Measured mutual information I(T;S) across different sectors and validated with gauge-invariant observables.
Analyzed finite-size scaling effects and confirmed findings through exact diagonalization in a quantum toric code.
Observed CHSH violation with |S| = 2.811, achieving 99.4% of the Tsirelson bound.
Mutual information I = 0.015 ± 0.011 bits was significant at >2σ in 9 out of 10 Monte Carlo runs.
Observed CHSH violations in 99.5% of sectors with optimized sector-adapted measurement settings.

Cite This Study

Berkay Yüksel Sayim (2026) studied this question.

synapsesocial.com/papers/6a6700a340bca442e0d4a76d https://doi.org/10.5281/zenodo.21317149

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Implication

This randomized trial quantifies CHSH violation in Fibonacci anyons and mutual information in lattice gauge theory, suggesting insights into topological order.

Sector-Dependent CHSH Violation in Fibonacci Anyons, and Finite-Size Topological–CHSH Mutual Information in 2D Lattice Models

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Member takes

Implication

Key Points

Cite This Study

Sector-Dependent CHSH Violation in Fibonacci Anyons, and Finite-Size Topological–CHSH Mutual Information in 2D Lattice Models

Discussion

Member takes

Implication

Key Points

Cite This Study

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