QDL Research Suite

Abstract

QDL Research Suite QDL Research Suite is a free, open-source Python package that brings together tested computational and reproducibility tools from the Quantum Diverter Loop (QDL) research program. It is designed to help researchers verify, reproduce, inspect, and reuse advanced mathematical, statistical, and computational results without rebuilding every method from scratch. Version v1.3.0 unifies the tested computational and reproducibility layers of QDL Papers 1, 2, 3, 4, and 5 in a single software release while preserving the provenance, scope, limitations, archived source material, and reproducibility records of the original research. The software is intended as a reproducibility and computational-verification toolbox. It provides a common interface for calculations developed across the five QDL papers without silently replacing or relabeling the original paper-specific research packages. What you can do with it Walsh/Fourier interaction analysis Exact finite-sample permutation moments Exact mean, variance, and covariance calculations Krawtchouk polynomial calculations Finite-alphabet model checks Structured exact-distribution verification Arithmetic and combinatorial verification routines Selected GKZ / A-hypergeometric computations Continuation-horizon checks Clebsch-graph and Walsh exact-tail calculations Exact hierarchy and orbit-weighting calculations Deterministic exact-tail verification Four-variable log-linear interaction analysis FR-OSI restricted-model rank and identifiability checks Exact pair/triple contrast-closure verification Retrospective and frozen external-test reproducibility checks Historical source-file integrity and SHA-256 verification Johnson-scheme and slice-harmonic calculations Johnson/slice layer-dimension calculations Rank-normalized harmonic-layer profile calculations Reproduction of selected six-qubit and 32-qubit correlator-layer profiles Conditional uncertainty and finite-shot robustness checks Cross-paper computational regression from a common command-line interface Paper modules included in v1.3.0 Paper-1 — Exact Permutation Moments Provides exact finite-sample calculations for Walsh interaction-order energies, including: exact permutation means; exact variances; exact cross-order covariances; normalized interaction-order statistics; exhaustive small-system verification; dense and sparse computational checks. The module supports direct verification of the finite-sample formulas developed in Paper-1 and includes controlled regression tests for the corresponding computational results. Paper-2 — Exact Distribution Laws Extends the framework from moments to structured exact-distribution calculations, including: Walsh/Krawtchouk fixed-defect methods; finite-alphabet calculations; structured exact-distribution checks; arithmetic certificates; selected GKZ / A-hypergeometric representations; complexity-boundary checks; continuation-horizon classification. The module provides computational checks for the structured classes treated in Paper-2 while preserving the distinction between exact tractable cases and broader computationally difficult cases. It should not be interpreted as a universal efficient exact PMF/CDF solver for arbitrary fields or arbitrary problem sizes. Paper-3 — Exact Certified Tail Computation Implements the scoped finite (n=5) Walsh/Clebsch exact-tail framework, including: Clebsch-graph and Walsh interaction calculations; exact hierarchy construction; (S_5) orbit weighting; deterministic counting and pruning checks; exact certificate verification; certified exact tail-probability calculations; preserved Paper-3 source-level reproducibility checks. The Paper-3 implementation is intentionally scoped to the stated finite (n=5) Walsh/Clebsch problem. It is not presented as a universal arbitrary-(n) exact PMF/CDF solver. Paper-4 — Identifiability, Contrast Closure, and Frozen External Testing The Paper-4 computational and reproducibility layer includes: exact rank verification for the restricted seven-parameter FR-OSI family; verification that the symmetry-compressed primary map has rank 7 and nullity 8; exact verification of the five pair and three triple contrast directions; confirmation that the primary coordinates plus eight contrasts restore full rank 15; locked retrospective benchmark calculations; frozen external four-series test calculations; preservation of retrospective and prospective/frozen analyses as distinct datasets; reproducibility checks for Wald, likelihood-ratio, bootstrap, and contrast results; verification of archived historical FRED source files; SHA-256 source-integrity checks. The preserved Paper-4 reproducibility route reproduces the locked numerical checkpoints and verifies the recovered historical source-file integrity records. Paper-4 tests a specific restricted common-pair/common-triple four-variable log-linear interaction family. Rejection of that restriction does not identify a unique alternative model, causal process, forecasting rule, or physical mechanism. Paper-5 — Johnson-Harmonic Correlator Profiles Version v1.3.0 adds the Paper-5 computational and reproducibility layer to QDL Research Suite. The Paper-5 module provides tools for structured harmonic analysis of fixed-order correlator fields on Johnson/slice state spaces, including: exact Johnson/slice harmonic layer-dimension calculations; rank-normalized harmonic-layer calibration; structured decomposition of fixed-order correlator profiles; canonical recalculation of the retained six-qubit layer profile; canonical recalculation of the retained 32-qubit layer profile; preservation of conditional uncertainty anchors; finite-shot and noise-reference controls; Paper-5-specific regression checks; preservation of the frozen Paper-5 computational migration lineage; archive-integrity checks linked to the corrected Paper-5 manuscript audit. The module retains the computational lineage associated with the Paper-5 work rather than presenting the v1.3.0 software integration as a new mathematical result. The Paper-5 implementation is intended for reproduction, calibration, structured inspection, and verification of the stated Johnson-harmonic calculations. It does not establish a new universal Johnson-scheme theorem, a microscopic physical Hamiltonian, Bell nonlocality, causation, retrocausality, future-state prediction, or a nonzero physical intervention parameter. Why it is useful Instead of developing every calculation from the beginning, users can use QDL Research Suite to: run exact computations; verify mathematical identities on controlled examples; reproduce published or archived numerical results; compare analytical formulas with computational checks; test structured finite models; inspect exact tail calculations; verify model-rank and contrast constructions; reproduce frozen external statistical tests; study structured Johnson-harmonic profiles; calculate exact harmonic-layer dimensions; inspect rank-normalized layer contributions; reproduce selected Paper-5 correlator-profile calculations; evaluate finite-shot and uncertainty controls; confirm source-data and archive integrity; trace calculations through preserved provenance and checksum records. The package includes command-line tools, automated tests, reproducibility routines, metadata, provenance records, archived source material, and integrity information so that computational results can be independently inspected and verified. What v1.3.0 combines Version v1.3.0 brings together the tested computational layers of: Paper-1: exact permutation moments; Paper-2: structured exact distribution laws; Paper-3: certified exact tail computation; Paper-4: identifiability, contrast closure, and frozen external testing; Paper-5: Johnson-harmonic correlator profiles and reproducibility controls. These modules are provided under one QDL Research Suite software family rather than being released as separate unrelated software projects. The historical paper-specific reproducibility packages remain part of the provenance chain and are preserved rather than being silently replaced, overwritten, or relabeled. Version v1.3.0 extends the public v1.2.0 software lineage by adding the Paper-5 module while retaining the tested Paper-1 through Paper-4 computational interfaces. Reproducibility and verification The final v1.3.0 DOI-stamped build has been regression-tested across all five Paper modules. Final release verification includes: 45/45 source software tests passed; 45/45 tests passed against the installed final wheel; combined Paper-1 through Paper-5 reproduction checks passed; Paper-3 archive-integrity verification passed; Paper-4 archive and source-integrity verification passed; Paper-5 regression verification passed; Paper-5 frozen migration-archive integrity verification passed; installed software version verified as 1.3.0; reserved v1.3.0 DOI embedded in release provenance and metadata. These checks are software-verification and reproducibility results. They should not be interpreted as external peer review or as proof of scientific claims beyond the explicitly stated scope of the individual papers. Provenance and release continuity QDL Research Suite v1.3.0 belongs to the existing QDL Research Suite software version lineage. Concept / all-versions DOI: 10.5281/zenodo.22952901 Previous public v1.2.0 DOI: 10.5281/zenodo.22970825 v1.3.0 version DOI: 10.5281/zenodo.22972830 The v1.3.0 release preserves the tested Paper-1 through Paper-4 computational source lineage and adds the Paper-5 computati