We report two independent hardware validation results on IBM Heron r3 quantum processors (ibmₚittsburgh, 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 (Rₑncspans 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 Rₑnc =|⟨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 Rₑnc = 0. 755 (ideal: 0. 754, deviation0. 1%), while the CZ sector (θ = π) yields Rₑnc = 125. 2 (ideal: ∞), confirming opposite correlation structures. TheY-K scaling result at n=5 (Rₑnc = 39. 5) maps to the CZ-like sector, consistent with coset averaging over 2I: 2T =5 driving correlations toward maximal encryption.
Darryl Novotny (Wed,) studied this question.
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