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Validation results show quantum information protocols linked to Z3 sector structure in quantum devices, suggesting enhanced encryption methods.
We report two independent hardware validation results on IBM Heron r3 quantum processors (ibm_pittsburgh,156 qubits) that strengthen the connection between the binary icosahedral group 2I and quantum informationprotocols. First, a pinned-layout shadow tomography experiment confirms all five predictions of the Z₃ sectorinterpolation model: entropy trimodality (ΔS = +0.197, bootstrap CI excludes zero), K₆ charge spectrum selectionrule (Q=2 = 0 across 163,840 shots at four CPHASE phases), pairwise connected correlation separation (R_encspans three orders of magnitude across sectors), and restored conjugate symmetry (|ΔS| = 0.029 < 0.03). Second,retroactive analysis of pairwise connected correlations establishes the encryption ratio R_enc =|⟨YY⟩_conn|/|⟨XX⟩_conn| as a diagnostic bridging the Yamaguchi-Kempf encrypted cloning protocol [PRL 136,010801 (2026)] to Z₃ sector structure. The TAO sector (θ = π/3) yields R_enc = 0.755 (ideal: 0.754, deviation0.1%), while the CZ sector (θ = π) yields R_enc = 125.2 (ideal: ∞), confirming opposite correlation structures. TheY-K scaling result at n=5 (R_enc = 39.5) maps to the CZ-like sector, consistent with coset averaging over [2I:2T] =5 driving correlations toward maximal encryption.
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Darryl Novotny (2026) studied this question.
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