L1 ⚛ L1-154 ⊙ Testnet

Quantum Illumination — entanglement-enhanced target detection

Quantum Imaging · Two-mode squeezing for target detection below shot-noise

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⬇ L1-154.md

# ⚛ L1 Principle — Quantum Illumination — entanglement-enhanced target detection **ID:** `L1-154` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Quantum Imaging — *Two-mode squeezing for target detection below shot-noise* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** binary detection map > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 10 · **⛓ Block:** 41554241 --- ## 🧠 1. Introduction **Quantum Illumination — entanglement-enhanced target detection** is a **nonlinear inverse problem** whose unknown lives in **binary detection map** space, within the **Two-mode squeezing for target detection below shot-noise** sub-domain of **Quantum Imaging**. Measurements consist of photons collected by an optical detector via a **entanglement detection** sensing mechanism. The forward operator applies, in order: L · entangled photon source operator; L · signal probe return operator; L · joint detection operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered binary detection map is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 35); loss_and_noise_decoherence dominates the stability cliff; phase_drift and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega. ## ⚙ 2. Forward Model Physical chain: **x** → L · entangled photon source → L · signal probe return → L · joint detection → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.joint_detection` `L.signal_probe_return` `L.entangled_photon_source` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.entangled_photon_source` | L · entangled photon source operator | | `L.signal_probe_return` | L · signal probe return operator | | `L.joint_detection` | L · joint detection operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Quantum Imaging | | Sub domain | Two-mode squeezing for target detection below shot-noise | | Carrier | photon | | Problem class | nonlinear_inverse | | Solution space | binary_detection_map | | Noise model | shot_poisson | | Integration axis | temporal | | Difficulty delta | 10 | | L dag | 4.5 | ## 📡 4. Measurement Model Existence of the recovered binary detection map is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 35); loss_and_noise_decoherence dominates the stability cliff; phase_drift and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `quantum_illumination` · **Forward operator:** `quantum_illumination_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 128 | | W | px | 128 | | N modes | — | 1000000 | | Eta idler | — | 0.9 | | Eta signal | — | 0.1 | | Phase drift | — | 0 | | Mode mismatch | — | 0 | | Thermal photons per mode | — | 1 | | Loss and noise decoherence | — | 0 | **Allowed bounds:** | 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 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 16.0 | Metric | Range | |---|---| | Psnr db | 5.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `700` and δ = `10`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x2e02a797d2bd1d9a544008258a6e6dd07e1ce8f075e64108972adec58d526e0d` - **Chain tx hash:** `0xb913d3a2ba6305f5be64a49383cc78e9fd4f2a00544c0ef1be4dc31294c8e863` - **Chain block:** `41554241` --- ## File Mapping This bundle consists of: `L1-154.md`, `L1-154.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-154.md` | Source of truth — edit this | Human or LLM | | `L1-154.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 `L1-154`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-154.md).
Regenerate L1-154.json so every field matches the Markdown.
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L2-154-001 Quantum Illumination — entanglement-enhanced target detection Mismatch-Only Spec

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📋 JSON metadata

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  "domain": "Quantum Imaging",
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    "title": "Quantum Illumination \u2014 entanglement-enhanced target detection"
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  "status": "testnet",
  "sub_domain": "Two-mode squeezing for target detection below shot-noise",
  "title": "Quantum Illumination \u2014 entanglement-enhanced target detection"
}

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