# ⚛  L1 Principle — Quantum Compilation — Circuit Synthesis & Routing

**ID:** `L1-924` · **Status:** ⊙ Testnet (genesis catalog)

> **🌐 Domain:** Quantum Software — *Circuit Compilation*

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## 🧠 1. Introduction

**Quantum Compilation — Circuit Synthesis & Routing** is a **inverse problem**, within the **Circuit Compilation** sub-domain of **Quantum Software**.

## ⚙ 2. Forward Model

```
Map a logical circuit to a device coupling graph by inserting SWAPs and decomposing to the native gate set; success probability ≈ (1−ε₂)^{N₂} falls with two-qubit-gate count N₂, so minimizing depth/N₂ maximizes fidelity.
```

## 🔬 3. Physics Fingerprint

| Property | Value |
|---|---|
| Domain | Quantum Software |
| Sub domain | Circuit Compilation |

## 📡 4. Measurement Model

| Metric | Value |
|---|---|
| Metric | two_qubit_count |

## ⚖ 6. Hardness Function

Hardness scales as **`grand_challenge`** on **two_qubit_count**.

## 💾 7. Reference Dataset

- **Compilation benchmark circuit suite** · weight 0.6 · IPFS _(not pinned yet)_
- **Device coupling-map library** · weight 0.4 · IPFS _(not pinned yet)_

**Staked PWM:** 5000.0

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## File Mapping

This bundle consists of: `L1-924.md`, `L1-924.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L1-924.md` | Source of truth — edit this | Human or LLM |
| `L1-924.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 `L1-924`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._