# 📐  L2 Spec — Quantum Illumination — entanglement-enhanced target detection Mismatch-Only Spec

**ID:** `L2-154-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-154`](/artifact/l1/L1-154)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.55 · **Delta tier:** 5
> **⛓ On-chain block:** 41554244

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 |
| W | px | 32 |
| N modes | — | 10000 – 1000000000 |
| Eta idler | — | 0.3 – 1.0 |
| Eta signal | — | 0.01 – 1.0 |
| Phase drift | — | 0.0 – 0.5 |
| Mode mismatch | — | 0.0 – 0.3 |
| Thermal photons per mode | — | 0.01 – 100 |
| Loss and noise decoherence | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
8.0 + 2.0 * log10(N_modes / 10000) + 4.0 * eta_signal - 2.0 * log10(thermal_photons_per_mode + 1) - 6.0 * phase_drift
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.55 |
| Delta tier | 5 |

## 4. Fingerprint

`23692d9122bfc9e5f9f7a1c7dd65ae43be75c0e8fd7c17417dbd684b1eaa1f87`

## 5. On-chain Registration

- **Chain hash:** `0xc785c04a5c35480d640d7486bfe842e5bd8f4437bdef17a879de2def77b7416d`
- **Chain tx hash:** `0x44651d3c2bc9bcdc1b307a1a235859cd991fe034fe715eedfe03c4fd06799caf`
- **Chain block:** `41554244`

---

## File Mapping

This bundle consists of: `L2-154-001.md`, `L2-154-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-154-001.md` | Source of truth — edit this | Human or LLM |
| `L2-154-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-154-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._