π√f(A) e Computação Quântica: Isomorfismos, Analogias e Fronteiras

This text constitutes the first formal extension of the hexarelational algebra of significance π√f(A), presented in full in Machado (2026a). We systematically investigate connections between the hexarelational formalism — its six degrees of significance (ρ₁–ρ₆), its tensor product, its lattice of 64 profiles, and its convergence operator Π — and the mathematical structures of quantum computation. We identify two exact isomorphisms: the algebraic identity of the tensor product in both domains, and the bijection between 2⁶ binary significance profiles and the computational basis of a six-qubit register. We develop three formalizable structural analogies: quantum entanglement as an instance of compensation (ρ₆), the no-cloning theorem as an upper bound on equivalence (ρ₃), and decoherence as a process structurally parallel to hermeneutic convergence. We propose an extension — quantum significance profiles — allowing profile superposition with collapse upon evaluation. We analyze canonical quantum algorithms (Shor, Grover, VQE, QAOA) as carriers of hypothetical hexarelational profiles, and redescribe three quantum protocols (teleportation, QKD, superdense coding) in the language of six relations. A full section is devoted to boundaries: what does not connect, what would be forced, what would be pseudoscience. Eight open problems are stated with testability criteria. No line in this text proposes, suggests, or tolerates any variant of quantum mysticism.