Verification scripts and deterministic outputs for "Entanglement-invariant topological fingerprint transitions in high-dimensional OAM biphoton states"
This archive contains the reproducibility package for the manuscript “Entanglement-invariant topological fingerprint transitions in high-dimensional OAM biphoton states”. The files provide deterministic Python verification scripts and output logs for the analytic and numerical claims in the paper. The package includes verify_fast.py, which reproduces the F5,3 phase table, the universal count and chirality laws, the G5,3 fixed-entropy phase structure, the mixed-block sign structure, the robustness checks, and the worked D3 discriminant calculation. It includes verify_brouwer_slow.py, which performs a direct Brouwer-degree cross-check of the affine sector-degree criterion. It also includes analyze_fingerprint.py, which reports the active-sector counts, sign-resolved counts, chirality, and entropy values for the benchmark F5,3 and G5,3 examples. The output logs verify_results.out, verify_brouwer_slow.out, and analyze_fingerprint.out record the deterministic results used to support the manuscript. No experimental datasets are included; the associated article is a theoretical and computational study.
This archive contains the reproducibility package for the manuscript “Entanglement-invariant topological fingerprint transitions in high-dimensional OAM biphoton states”. The files provide deterministic Python verification scripts and output logs for the analytic and numerical claims in the paper. The package includes verify_fast.py, which reproduces the F5,3 phase table, the universal count and chirality laws, the G5,3 fixed-entropy phase structure, the mixed-block sign structure, the robustness checks, and the worked D3 discriminant calculation. It includes verify_brouwer_slow.py, which performs a direct Brouwer-degree cross-check of the affine sector-degree criterion. It also includes analyze_fingerprint.py, which reports the active-sector counts, sign-resolved counts, chirality, and entropy values for the benchmark F5,3 and G5,3 examples. The output logs verify_results.out, verify_brouwer_slow.out, and analyze_fingerprint.out record the deterministic results used to support the manuscript. No experimental datasets are included; the associated article is a theoretical and computational study.
This repository contains the computational reproducibility and verification package accompanying the frozen Version v1.0 manuscript: “Phase Curvature and Assumption-Budgeted Certification in Gravity-Mediated Entanglement.” The associated manuscript develops an operational certification framework for gravity-mediated entanglement experiments. Its central aim is to quantify when an observed entanglement signal excludes a specified neighborhood of local classical-mediator models under explicit assumptions and separately controlled nuisance channels. The package supports the manuscript’s analytical and numerical results concerning: gauge-invariant nonseparable phase curvature for diagonal two-path interactions; exact concurrence and separability-distance formulas for pure two-qubit outputs; assumption-budgeted exclusion bounds around the classical-mediator free class; primal and dual PPT/semidefinite-program certification; finite-shot confidence bounds for experimentally accessible Pauli correlators; certified residual bounds for physically compensated coherent nuisance interactions; stochastic geometry and Casimir–Polder uncertainty budgets; matter-bypass and common-auxiliary-channel bookkeeping; circular-shield mode analysis, including the azimuthal matched-null obstruction; thermal shield-channel factorization; finite-footprint high-mode suppression; an analytic positive high-mode tail bound for the shield benchmark; and a conservative outward-rounded audit of the finite numerical mode block. The frozen manuscript does not claim that a particular experimental apparatus has already closed every systematic-error channel. Quantities such as preparation error, matter-channel leakage, shield-model discrepancy, control error, and readout error remain apparatus-dependent inputs to the certification framework. Package contents The archive includes: the frozen Version v1.0 manuscript source; deterministic verification scripts for the theorem-core identities; finite-shot and Casimir–Polder statistical/geometry checks; shield-mode and analytic-tail verification; conservative floating-point interval/audit checks; submission-interface regression checks; machine-readable verification reports; and a SHA256 manifest for file-integrity verification. All verification scripts distributed with the Version v1.0 package return PASS under the documented software environment. The numerical audit is intended as a transparent reproducibility layer for the stated model calculations. It should not be interpreted as a formal interval-special-function proof or as certification of a realized experimental apparatus.
This archive accompanies the paper Architecture-Sensitive Noise Fingerprints in Classical Statistics of Quantum States. It contains the full manuscript, all figures appearing in the paper, and the Python scripts used to generate the numerical results. The project demonstrates that classical measurement statistics obtained from noisy quantum states retain reproducible, architecture-dependent structure. Even under standard local, Markovian noise models, simple low-order classical features—such as entropy, maximum probability, parity mass, and Hamming-weight distributions—encode diagnostic fingerprints of the underlying quantum state architecture. The analysis focuses on stabilizer states (including GHZ, cluster, and star graph states), fixed measurement bases, and exact probability distributions. No machine learning, optimisation, tomography, or state reconstruction is used. All results are generated using transparent, reproducible numerical simulations. The contents of this archive are: LaTeX source and compiled PDF of the manuscript All figures used in the paper (PDF/PNG) Python scripts for generating the figures and classical feature data A README describing structure and reproducibility This archive is intended to support transparency, reproducibility, and reuse of the results, and may serve as a lightweight reference for diagnostic approaches to quantum noise and state architecture.
Manuscript and complete reproducibility package for a preregistration-style numerical study of spectral truncation in causal-set spacetime entanglement entropy. Recovering continuum-compatible entanglement-entropy scaling on a causal set requires truncating the Sorkin-Johnston spectrum twice, once on the full causal set and again after restriction to the subregion. Published treatments apply both truncations at the same prescribed geometric scale. This study varies the two stages independently on nested causal diamonds in 2d Minkowski spacetime: 80 Poisson sprinklings at nominal cardinalities 500-4000 form the primary ensemble, with 10 further sprinklings at 8000 reserved for a secondary extrapolation check. Varying the regional cutoff at fixed global cutoff changes the fitted coefficient substantially and produces different compatibility classifications at the same global truncation, so the classification is a property of the joint prescription rather than of the global cutoff alone. Weight interventions that hold the retained subspace and the regional projector fixed produce slope changes that are statistically resolved yet practically equivalent within a prespecified margin. The package contains the analysis plan frozen before the production runs, both production records (5686 rows over 90 sprinklings, zero gate-failed rows), the driver, analysis and validation code, the regression and injection test suites, the frozen analysis output, a dated post-unblinding amendment with its code diff and corrected output, every supplementary analysis as a re-runnable script with its random stream recorded, the figure-generation code, a cell-level rank-retention census and reconciliation report, an eligibility census, and the environment and commands needed to regenerate every table in the manuscript. Contents are organised in seven folders: 1_frozen, 2_amendment_A1, 3_supplementary, 4_figures, 5_census_reconciliation, 6_environment, paper.MANIFEST.json lists a SHA-256 for all files and verify_manifest.py checks them. Evidentiary status. The deposit is retrospective. Hashes establish consistency between the deposited files and the production records, which embed the SHA-256 of the plan they ran under; they do not independently establish chronology. The pre-production freeze is author-reported and no independently timestamped commitment exists. Amendment A1 was made after all results and the frozen verdicts had been seen; the frozen output is the prespecified result and the corrected output is reported alongside it, never in its place. Key identifiers. Frozen analysis plan SHA-256dc6b8bdb3faa8450de3a710204ba18a72e4ed0be54639bae990d945b328a2bf5; primary production record4e3d3a58b6028531884c1de36eae15ac6d30146d1fb2599b150f898bbcf4051f; secondary production record8bf402ccc471ae9331a43d8e6f3bc383861599269922bfe89aa51f29430c5a33. Verified by extracting the archive and re-running: manifest 53/53 files, validation test suites pass, regression suite 35/35, and the frozen-path analysis reproduces every contrast and slope line of the original output.
This record contains the preprint and complete machine-verifiable artifacts for CERTLIB, a solver-agnostic trust layer for quantum many-body and quantum chemistry computations. CERTLIB provides:a JSON-based schema for representing operator problems and exact rational certificates;a deterministic Python verifier that checks ncSOS and 2-RDM/PQG identities exactly over \mathbb{Q};a symbolic–numeric extraction pipeline for converting approximate floating-point solutions into exact rational algebraic identities.CERTLIB targets two widely used classes of operator statements:Noncommutative sum-of-squares (ncSOS) identitiesof the form H^{2} - \alpha H = \sum_{r} W_{r}^{\dagger} W_{r}, used in positivity and spectral-gap analysis.2-RDM dual certificates aligned with the PQG conerepresented via exact rational LDL^{\mathrm T} factorizations of dual matricesS = A - tI with D \succeq 0.All numeric entries in the JSON artifacts are encoded as{ "num": p, "den": q } with exact integer pairs, ensuring that verification requires no floating-point arithmetic.The reference verifier reconstructs each operator from JSON and checks the identities symbolically using Python’s fractions.Fraction.This package includes three case studies:L=20 ncSOS spin chain:An exact certificate for H^2 - H in a Pauli-bitset basis, sufficient to apply the Gosset–Mozgunov finite-size criterion for a bulk spectral gap under standard assumptions.O_3 active-space PQG examples (n = 66 and n = 153):2-RDM dual matrices derived from rationalized FCIDUMP data, each with an exact rational LDL^{\mathrm T} certificateS = A - tI = L D L^{\mathrm T}.Minimal PQG example with nonzero multipliers Y \neq 0:A hand-auditable 3×3 wedge-space problem demonstrating full CERTLIB support for adjoint mapsA = H - \mathcal{L}^*(Y) and nontrivial PQG multipliers.Contents of this Figshare record include:The PDF of the manuscript;JSON files for all ncSOS and PQG problems and certificates(spin chain, O_3 active spaces, and minimal PQG example with Y\neq 0);A Python reference verifier (verify_certificates.py) that re-checks every certificate exactly over \mathbb{Q};CERTLIB is intended as a lightweight reproducibility standard that journals, researchers, and software stacks can adopt to make numerical claims in quantum science auditable, portable, and verifiable by construction.
This is the manuscript and reproducibility package for Quantum Mechanics Without Spooky Action: The Gravacle Theory. The archive includes the paper in PDF, DOCX, Markdown, and TeX formats; proof and scope ledgers; public-data extracts; processed result files; scoring and digitization scripts; source registries; provenance notes; manifest; and SHA-256 checksums. Version v337 clarifies the Single-Run Boundary Closure Theorem so that entangled record closures are explicitly scoped as jointly constrained by one nonseparable registration relation, not independent per-wing selectors. It also preserves the v336 formatting, bibliography, license, data/provenance packet, and reproducibility materials.Locally authored manuscript, reports, scripts, and supporting documentation are released under Creative Commons Attribution 4.0 International (CC BY 4.0), unless otherwise stated. Third-party datasets, source archives, and cited public records retain their original licenses, terms, and citation requirements.
Overview of data provided in support of Towards near-term quantum simulation of materials Contents of this folder: `analyse_materials_results.py`: script used to generate the summary tables and figures presented in the manuscript. `towards_quantum_simulation_data`: raw data used and produced when studying various 3D materials. `towards_quantum_simulation_analysis`: tables (in `.tex` format) and figures (as PDFs) presented in the manuscript. The contents of `towards_quantum_simulation_analysis` were generated by `analyse_materials_results.py`, i.e. the user need not run the script to produce the output files. Users can generate these analyses directly by running ```python analyse_materials_results.py```, though note the following packages will first need to be installed: `pandas >= 1.2.3` `numpy >= 1.23` `seaborn >= 0.11.1` `lfig >= 0.1.3` `matplotlib > 3.7.0` Included data Within `towards_quantum_simulation_data`, there are subfolders for each of the materials described in the manuscript, i.e. `SrVO3`, `GaAs`, `H3S`, `Si`, `Li2CuO2`. Within each material's folder are further subfolders for the `hamiltonian` and `encoding` used to represent the material, as well as subfolders for each of the `algorithms` studied. `hamiltonian`: files which specify the Hamiltonian for the material under study. There are a number of files `interactions.json` Hamiltonian terms in terms of Majorana monomials. `map_majorana_to_mode.json` keys are Majorana indices; values are the mode index to which they are associated. `map_mode_to_group.json` keys are mode indices; values are the group (or site) index to which they are associated. `map_group_to_position.json` keys are group indices; values are the corresponding 3D Cartesian coordinates of the lattice used to represent the material. `stage_data.json` contains key/value pairs of any other fields of interest. `encoding` files which specify the fermionic encoding which is customised for the material under study. `encoding.json` which details the edges of the hybrid compact encoding described in Section VI of the supplementary material. `precompiler.json` contains all the information which permits the encoding construction, including the Hamiltonian terms (`_interactions`) which match those in `hamiltonian/interactions.json`. The same mappings as present in the Hamiltonian data(a.g. `map_group_to_position`). `stage_data.json` contains key/value pairs of any other fields of interest. `algorithms` contains subfolders for each of the algorithms desribed in the manuscript Those explored for circuits depths: `TDSSplitTermsPriorityCircuitDepth` (TDS in the manuscript) `TDSSplitTermsPriorityCircuitDepthNoSwapNetwork` (TDS\*) `VQESplitTerms` (VQE) `VQESplitTermsNoSwapNetwork` (VQE*) each of which contain the files, inside the `circuitry` folder: `circuit_terms.csv`, which lists each individual term, together with their Pauli string and rotation angle, required to construct the corresponding quantum circuit `circuit_layers_to_implement.csv` groups the same terms into layers to achieve parallelism in the circuit. `stage_data.json` contains key/value pairs of any other fields of interest. and those used to compose measurement layers, as outlined in Section VII D of the supplementary material: `MeasurementCommutativity` `MeasurementNaiveQubitwise` `MeasurementNonCrossing` each of which contain the files, inside the `compilation` folder: `layers.csv` lists the terms which may be measured simultaneously to achieve the measurement strategies shown in Table S14. `stage_data.json` contains key/value pairs of any other fields of interest. CSV files In `towards_quantum_simulation_data`, there are unified CSV files containing the results of applying the procedures described in the manuscript to the target materials. `circuit_costs.csv`: results of running the circuit compiler described in the manuscript. `measurements.csv`: results of running the measurement compiler described in the manuscript. These CSVs are used in the analysis script `analyse_materials_results.py` to produce the figures and tables presented in the manuscript.