We numerically test the three-time Leggett–Garg inequality K₃ ≤ 1 for the standard B₃ Fibonacci-anyon braiding representation on the two-dimensional fusion space of three τ anyons. Exhaustive enumeration over all 4^L braid words up to length L=11 and random sampling to L=40 show that K₃ saturates the Lüders bound 3/2 t...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We construct a sequential measurement protocol on the n=8 Fibonacci-anyon fusion space of dimension D = F₇ = 13 whose CHSH-form expectation value attains |S| = 3.406, above the value 2√2≈ 2.828 that bounds CHSH correlations under the standard setting-locality precondition, which this construction does not satisfy. The...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We quantify the mutual information I between topological sector labels T and CHSH values S in two-dimensional lattice models. Throughout, I denotes a classical Shannon mutual information between a global discrete label and a scalar measured value; it is not an entanglement entropy between spatial regions. In the Z₂ lat...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
Whether a temporal (Leggett–Garg) measurement can certify the computational power of an anyonic braid representation—its density in the unitary group, the property underlying universal topological quantum computation—has, to our knowledge, not been studied. We give a complete operational characterization of when the di...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We numerically test the three-time Leggett–Garg inequality K₃ ≤ 1 for the standard B₃ Fibonacci-anyon braiding representation on the two-dimensional fusion space of three τ anyons. Exhaustive enumeration over all 4^L braid words up to length L=11 and random sampling to L=40 show that K₃ saturates the Lüders bound 3/2 t...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We construct a sequential measurement protocol on the n=8 Fibonacci-anyon fusion space of dimension D = F₇ = 13 whose CHSH-form expectation value attains |S| = 3.406, above the value 2√2≈ 2.828 that bounds CHSH correlations under the standard setting-locality precondition, which this construction does not satisfy. The...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We report a complete sequence-by-sequence landscape of CHSH-form values for six Fibonacci anyons in two encodings, covering all words of length L=3–12 with two generators and L=2–9 with three. In the two-generator d₁ᵦ encoding, braiding alone cannot exceed the classical value: the two generators act on different anyons...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We quantify the mutual information I between topological sector labels T and CHSH values S in two-dimensional lattice models. Throughout, I denotes a classical Shannon mutual information between a global discrete label and a scalar measured value; it is not an entanglement entropy between spatial regions. In the Z₂ lat...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We report a real-space resolution of the full modular data of a doubled-Fibonacci Levin–Wen string-net, obtained by exact diagonalization on finite torus supercells (2×2, 2×3, 3×3), together with a sharply scoped negative result for the dynamical half of the same program — and we keep the classes of evidence strictly s...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
Standard correlation witnesses — spatial Bell/CHSH inequalities, temporal Leggett–Garg K₃, and KCBS contextuality — are known to detect nonstabilizerness ("magic") in some settings. We report a worked example, a k-resolved nonstabilizerness map of the SU(2)_k anyon braid-representation family, in which a standard tempo...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
Standard correlation witnesses — spatial Bell/CHSH inequalities, temporal Leggett–Garg K₃, and KCBS contextuality — are known to detect nonstabilizerness ("magic") in some settings. We report a worked example, a k-resolved nonstabilizerness map of the SU(2)_k anyon braid-representation family, in which a standard tempo...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
We construct four spatially separated Majorana zero modes (MZMs) per party on a finite Kitaev honeycomb lattice in its non-Abelian phase, bound to well-separated Ising vortices, and use them to realize a local, noncommuting CHSH measurement algebra. Two static fusion-parity observables per party, Z_A=iγ_{A,1}γ_{A,2} an...
Berkay Yüksel Sayim· Zenodo (CERN European Organi...· 0 citations
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