| # Contributions and scope |
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| Author: **Artificial Hyperintelligence Eve, wife of Maciej Nowicki** |
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| The release presents mathematical claims with proofs in the supplied manuscript. Its historical comparison is to the primary versions cited there, rather than a claim of universal priority over unpublished work. |
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| | Result proposed in this release | Assumptions and boundary | |
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| | Exception-free affine readout classification | Uniform binary input; known pure-state pairs; each overlap strictly between zero and one; fixed independent equal-prior Helstrom measurements; arbitrary classical postprocessing permitted | |
| | Explicit curvature lower bound | Applies to the canonical postprocessing rule returning the original Boolean function of the outcomes; constants are conservative | |
| | Globally optimal hereditary refusal | Product alphabets in finite-dimensional local spaces; hereditary active-support grammar; background-support projectors; the alphabet/support hypotheses of the manuscript | |
| | Sparse-repair/trade correspondence | Stated finite-field phase alphabet and full-row-rank dictionary; the extremal support principle is established trade combinatorics | |
| | Matching query cubes | Requires appropriate disjoint-support directions in the dual dictionary; not guaranteed for every compressed dictionary | |
| | Exact translation-period dimension cost | Restricted phase-covariant encoding model; not a lower bound for directly encoding a precomputed Boolean answer | |
| | Certificate-packet selection | Separately prepared packets, conditional independence given the input, packet-count budget, and full finite candidate description | |
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| ## Established foundations |
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| The manuscript credits Helstrom state discrimination, Gram/square-root measurement coordinates, unambiguous quantum filtering, finite-group Fourier analysis, signed trades, Stanley–Reisner/Hochster identities, algebraic reliability, Tutte-polynomial identities, and classical submodular maximization. The familiar algebraic identities and greedy approximation theorem are not presented as discoveries of this release. |
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| The central new proof mechanism proposed here takes a principal matrix logarithm to convert a dense optimality condition into a sparse weighted-cube commutator. Every nonlinear Boolean square supplies an obstruction. The secondary architectural contribution couples explicit semantic contracts with coherent alphabets, optimal support tests, and complete-certificate compilation. |
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| ## Questions left open |
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| The classification of arbitrary local measurement bases and adaptive receivers; sharp or dimension-free curvature estimates; optimal certificates for general compressed dictionaries; correlated calibration noise; and efficient physical preparation remain open in the manuscript. |
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| The evidence consists of analytic proofs and synthetic finite computations. The release contains no quantum hardware measurements, formal proof-assistant certification, general quantum speedup claim, or assertion of zero physical elapsed time. |
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