H-09 qMERA Lambda-IC Submission Bundle

Project: Lambda-IC Gradient-Scale Diagnostics for qMERA Trainability
Status: theory + preregistered simulator support + IBM hardware feasibility pilot
Main caution: This package does not claim that every qMERA parameter has a nonzero gradient for every angle. It claims that local causal-cone qMERA-style gradients avoid exponential barren-plateau collapse, and that Lambda-IC is a useful diagnostic of that gradient scale.

What is included

• theory/ corrected theorem statement and claim boundaries.
• prereg/ preregistration templates and locked confirmatory plan.
• scripts/ Python simulator, meta-analysis, IBM hardware, IonQ optional, figure generation, and no-secret scan scripts.
• powershell/ Windows PowerShell scripts to run setup, simulator, confirmatory analysis, IBM account setup, IBM hardware pilot, Kingston/job retrieval, and packaging.
• paper/ LaTeX skeleton and BibTeX file.
• docs/ submission strategy, novelty statement, open science checklist, hardware summary, and claims/limitations.
• logs/reference_outputs/ pasted console outputs from successful runs, for local reference only.

Recommended submission workflow

1. Run powershell/Run_00_Setup_Venv.ps1.
2. Run powershell/Run_01_Quick_Simulator.ps1 as a smoke test.
3. Run powershell/Run_02_Confirmatory.ps1 for the final preregistered simulator support.
4. Run powershell/Run_03_IBM_Save_Account_PUT_KEY_HERE.ps1 after inserting your IBM key locally.
5. Run powershell/Run_04_IBM_Hardware_Pilot.ps1 for the tiny IBM hardware appendix pilot.
6. Run powershell/Run_05_Retrieve_IBM_Job.ps1 for any timed-out job ID.
7. Run powershell/Run_06_Generate_Figures.ps1.
8. Run powershell/Run_07_No_Secrets_Scan.ps1 before any GitHub/Zenodo/arXiv upload.

Core contribution

The existing qMERA literature establishes polynomial local-gradient scaling. The existing information-content literature links IC to average gradient scale. This project contributes the bridge: Lambda-IC can be used as a measurable gradient-scale diagnostic for qMERA-style local causal-cone trainability, supported by preregistered simulator runs and a small IBM QPU feasibility pilot.

Archive DOI

This reproducibility bundle is archived on Zenodo:

• DOI: 10.5281/zenodo.20949045
• DOI URL: https://doi.org/10.5281/zenodo.20949045

Recommended citation: Kevin H. Miller, H-09 qMERA Lambda-IC Trainability Bundle, Zenodo, 2026, DOI: 10.5281/zenodo.20949045.