docs: production-level README with ToC, npm, Stripe, and E2E sections

[Copilot]

The README presented the project as experimental/research-only and lacked structure, installation guidance, API indexing, payment integration docs, and E2E testing instructions needed for a production release.

Changes

README.md — full rewrite

• Removed "Research Repository — not production-ready" disclaimer
• Added numbered Table of Contents linking all 9 sections and sub-sections
• Added status badges (Python, npm, license, tests)
• Installation — explicit pip install and npm install blocks with version requirements
• API Reference — package index table mapping files → exports; gate/measurement/state-inspection tables for QuantumCircuit; parameter tables for all three energy simulator functions
• Stripe (Section 5) — env-var key setup, Python and Node.js subscription creation examples, webhook signature verification snippet
• Testing (Section 6) — per-module pytest commands + full E2E smoke test (Python isolated venv and npm/Node.js) covering all four public symbols
• Unsolved Problems Reference — indexed table of all 10 entries with mathematical area

.gitignore — new

Standard Python + Node.js ignore rules (__pycache__, .venv, node_modules, build artefacts, IDE files).

Original prompt

Please get everything to the ReadMe that is production level and ready for npm and stripe we need FORMALITY now we have over 125,000 files guys we need indexes in READMEs ! For production level. It is our marketing page simple and literally please all check e2e we need this production level 12 months ago

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