ultrametric-p-adic-metrology

Ultrametric p-Adic Quantum Metrology: Passive Error Resilience for Near-Term Quantum Advantage

Status

v0.1-phase0 — Project scaffold initialized. See PROJECT-PLAN.md for the full charter and work breakdown structure.

Abstract

Active quantum error correction requires ancilla qubits, syndrome extraction, real-time decoding, and feedback — a thermodynamic sinkhole that grows exponentially with system size. We explore an alternative: passive error resilience through ultrametric (p-adic) geometry, where noise self-organizes into hierarchical clusters that a single global measurement averages out automatically. The result is a sensor architecture — not a computer — that already beats the standard quantum limit in room-temperature photonic platforms, with ~10 entangled photons and no error correction overhead.

Related Publications

• Adelic Shannon Theory v2.1 — DOI: 10.5281/zenodo.21698976
• Adelic Entropic Numbers v1.1 — DOI: 10.5281/zenodo.21698978
• Adelic Rate-Distortion Theory v1.0 — DOI: 10.5281/zenodo.21705076
• CWI QEC Poster 2026 — github.com/QNFO/cwi-qec-poster-2026

Repository Structure

ultrametric-p-adic-metrology/
├── README.md              # This file
├── PROJECT-PLAN.md        # Charter, WBS, milestones, risk register
├── .gitignore
├── docs/                  # Source documents, prior work, research notes
├── artifacts/             # Literature reviews, gate memos, forecast outputs
├── notebooks/             # Working notes, calculation notebooks
├── releases/              # Versioned Zenodo-ready bundles
└── scripts/               # Build, analysis, and verification scripts