Recognition, Rigidity, and Dimension from Directed Quantum Distinguishability

Abstract

This record contains the manuscript, unified Supplemental Material, source files, author-generated analysis code, derived numerical products, figures, and provenance material supporting *Recognition, Rigidity, and Dimension from Directed Quantum Distinguishability*. For faithful qubits, the work develops an algebraic recognition criterion and generic global rigidity from directed max-relative entropy, together with sparse reconstruction using a constructive global bound of 4n-7 directed entries and the generic local optimum 3n-3. Beyond qubits, directed-cycle asymmetry yields a pairwise-spectral hierarchy giving computable lower bounds on Hilbert-space dimension. A public superconducting-qubit data set provides an end-to-end finite-setting validation with no tomography or density-matrix estimate in the reconstruction path. The archive includes reproducibility code, derived directed-distinguishability matrices, reconstructed geometries, cross-validation and resampling outputs, finite-setting convergence tests, sparse 100-state reconstruction products, figure sources, verification reports, provenance records, and SHA-256 checksums. External experimental data are not redistributed; authoritative publications and repositories, exact filenames where available, and frozen hashes are recorded for independent retrieval and verification.