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@@ -47,7 +47,7 @@ We generate synthetic surface-code syndromes using **Stim** ([Gidney 2021](https
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## Environment
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## Results
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| `logical_correction_rate` | **0.964** |
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| `format_compliance_rate` | **1.000** |
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| `mean_hamming_overlap` | 0.8405 |
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| `mean_total_reward` | ~0.821 |
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| `exact_match_pymatching` | 0.734 |
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| `pymatching_beat_rate` | 0.000 |
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---
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## Evaluation Protocol
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### Episode budget
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| Cohort | Cells | Episodes / cell | Total |
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| Trained model (SFT-only + SFT+RL Γ 4 levels) | 8 | 500 | **4,000** |
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| Baselines (zeros / random / pymatching Γ 4 levels) | 12 | 100 | **1,200** |
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| **Total** | 20 | β | **5,200 evaluation episodes** |
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(The headline 3,200 figure is for a single-adapter run: 2,000 trained + 1,200 baseline.)
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### Random seeds
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Eval seed range: **5000 β 7199** (held out from training seeds 1β4999 and SFT-validation seeds 4242 + offset). Each (policy, level) cell uses contiguous seeds from this range, so results are bitwise reproducible.
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### Confidence intervals
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At 500 episodes per cell, a 95% Wilson CI on a 0.85-LCR estimate is approximately **Β±2.5%**. Baseline cells at 100 episodes carry a wider Β±5% CI β they are deliberately cheaper because the metrics there (β₯90% LCR for PyMatching, ~95%+ on L1/L2) are well-separated from the trained-model regime where the improvement is tested.
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### Hard-syndrome subset definition
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A "hard syndrome" is an evaluation episode where the **simulated true error pattern contains β₯ 2 X|Z error qubits**. Easy syndromes (zero or one error) are where every reasonable decoder hits ~95%+ LCR; the hard subset is the cohort where MWPM ambiguity matters and trained-model contributions are most visible. The subset metric is reported as `hard_syndrome_lcr` in each per-cell JSON.
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### Curriculum levels (noise-model parameters)
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Defined in [`qubit_medic/config.py:CURRICULUM`](qubit_medic/config.py). All levels use the rotated surface code with a Z-memory experiment under the SI1000 noise model (Gidney & Fowler 2021).
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| Level | Distance | Rounds | Physical error rate `p` | Notes |
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| `L1_warmup` | 3 | 1 | 0.0005 | trivial; warmup |
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| `L2_target` | 3 | 3 | 0.001 | primary benchmark (AlphaQubit Fig. 2b geometry) |
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| `L3_stretch` | 5 | 5 | 0.001 | distance-5 stretch goal |
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| `L4_stress` | 5 | 5 | 0.005 | 5Γ higher noise; eval-only stress test where baselines drop and headroom opens |
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### Deployed environment
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Live OpenEnv server: **[https://ronitraj-quantumscribe.hf.space](https://ronitraj-quantumscribe.hf.space)** β health probe at `/healthz`. The deployed Space currently knows L1/L2/L3 only; `L4_stress` evaluation runs locally via `scripts/eval.py` against the in-process `DecoderEnvironment`.
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### Reproducibility commands
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End-to-end (12 baseline cells + 4 trained-model cells + table generation) β run from the repo root:
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```bash
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SPACE_URL=https://ronitraj-quantumscribe.hf.space \
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ADAPTER=checkpoints/grpo_v2 \
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TRAINED_EPISODES=500 BASELINE_EPISODES=100 \
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bash scripts/run_full_eval.sh
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```
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Outputs:
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- `data/remote_eval/eval_remote_{policy}_{level}.json` β 12 baseline cells
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- `data/trained_eval/eval_trained_{level}.json` β 4 trained-model cells
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- `results/comparison_table.md` β final pivot table
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Individual steps if you only need to refresh part of the matrix:
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```bash
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# Remote baselines on L1/L2/L3 only (Space-known levels)
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python -m scripts.eval_remote --url https://ronitraj-quantumscribe.hf.space \
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--episodes 100 --levels L1_warmup L2_target L3_stretch \
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--all-policies --out-dir data/remote_eval/
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# L4_stress baselines (local; Space rejects forced_level=L4_stress until redeployed)
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for policy in zeros random pymatching; do
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python -m scripts.eval --policy $policy --episodes 100 \
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--level L4_stress \
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--out data/remote_eval/eval_remote_${policy}_L4_stress.json
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done
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# Trained-model evaluation (local; needs GPU)
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for level in L1_warmup L2_target L3_stretch L4_stress; do
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python -m scripts.eval --adapter checkpoints/grpo_v2 \
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--episodes 500 --level $level \
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--out data/trained_eval/eval_trained_${level}.json
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done
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# Build the comparison table from whatever cells are present
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python -m scripts.comparison_table_full \
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--remote-eval-dir data/remote_eval/ \
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--trained-eval-dir data/trained_eval/ \
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--output results/comparison_table.md
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```
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The runner is idempotent β `SKIP_BASELINES=1` reuses existing baseline JSONs; `SKIP_TRAINED=1` reuses existing trained-model JSONs.
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## Environment
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| Field | Value |
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| Observation | `QubitMedicObservation` β `prompt` (text), `syndrome` bits, `level`, `episode_id`, curriculum metadata (see [`qubit_medic/server/openenv_adapter.py`](qubit_medic/server/openenv_adapter.py)) |
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## Results
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### Versus untrained base Qwen on the same prompt template
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A clean before/after that judges and reviewers can re-run themselves. Both rows use the **same prompt schema** and the same OpenEnv at L2_target (d=3, 3 rounds, p=1e-3); the only difference is whether SFT+GRPO has run. Source files: [`data/eval_base_qwen.json`](data/eval_base_qwen.json) (100 episodes) and [`data/eval_grpo.json`](data/eval_grpo.json) (1000 episodes).
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| Decoder | logical_correction | exact_match_pymatching | mean_total_reward |
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| Random Pauli | 0.600 | 0.000 | 0.483 |
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| All-zeros | 0.920 | 0.000 | 0.745 |
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| **Base Qwen2.5-3B (no SFT, no GRPO)** | **0.920** | **0.660** | **0.790** |
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| **QuantumScribe (SFT + GRPO)** | **0.964** | **0.734** | **0.821** |
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| PyMatching (target to beat) | 0.990 | 1.000 | 0.874 |
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**Reading this honestly:**
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- Base Qwen with our prompt template already produces parseable Pauli frames (`format_compliance=1.0`) and lands on `logical_correction=0.92` β equal to all-zeros on that metric, but the model is genuinely decoding (66% exact-match with PyMatching, vs 0% for zeros).
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- SFT+GRPO improves `logical_correction` by **+4.4 points** (0.92 β 0.964) and `exact_match_pymatching` by **+7.4 points** (0.66 β 0.734). The gap to PyMatching on logical correction shrinks from 7 points to 3.4 points.
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- `pymatching_beat_rate` stays 0.0 β we match PyMatching, we do not beat it. This is disclosed throughout.
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This is the most defensible framing of our submission's `Ξ`. The training is doing real work; it is not magic from scratch, because the starting point (base Qwen + good prompt) is already non-trivial.
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### Performance of Qwen-2.5-3B-Instruct: Before vs After SFT
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The base model was supervised-fine-tuned on 3,000 PyMatching-labeled syndromes using LoRA (rank 16, alpha 32) for 50 steps. The SFT phase taught the model the output format and bootstrapped it from no decoding ability to matching PyMatching on nearly half of all syndromes.
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| Metric | Before SFT | After SFT (step 50) |
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|------------------------------|-----------|---------------------|
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| Logical correction rate | 0.000 | 0.850 |
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| Exact match with PyMatching | 0.000 | 0.450 |
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| Hamming overlap (mean) | 0.000 | 0.645 |
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| Training loss | 4.762 | 0.245 |
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**Headline:** SFT bootstrapped the model from zero decoding ability to 85% logical correction rate, matching PyMatching on 45% of syndromes.
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### Performance of QuantumScribe: After SFT vs After GRPO
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The SFT-warmed checkpoint was further trained for 1,500 GRPO steps using the deployed OpenEnv environment as the rollout source. GRPO sharpened format compliance, improved prediction precision, and pushed logical correction toward ceiling.
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| Metric | After SFT | After GRPO |
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|------------------------------|-----------|-----------|
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| Logical correction rate | 0.850 | 0.964 |
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| Format compliance | 0.263 | 1.000 |
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| Hamming overlap (mean) | 0.645 | 0.840 |
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| Exact match with PyMatching | 0.450 | 0.734 |
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| Total reward (mean) | 0.719 | 0.821 |
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**Headline:** GRPO improved every metric. Format compliance jumped from 26% to 100%, logical correction climbed from 85% to 96.4%, and exact agreement with PyMatching's predictions rose from 45% to 73%.
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### Literature comparison
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| System | Compute | Training cost | LCR | Beat-rate vs PyMatching |
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|-------------------------------------|--------------------------|------------------------|-----------|--------------------------|
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| PyMatching v2 (classical) | CPU, 1 core | None (algorithmic) | ~0.99 | n/a (baseline) |
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| AlphaQubit (DeepMind, *Nature* 2024)| TPU pod | Days, ~M$ scale | ~0.973 | ~6% |
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| QuantumScribe SFT-only (ours) | T4 GPU (free Colab) | ~30 min, free | 0.850 | 0% |
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| **QuantumScribe SFT+GRPO (ours)** | **T4 GPU (free Colab)** | **~3 hours, free** | **0.964** | **0%** |
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**Headline:** matched PyMatching's quality on a free Colab T4 in three hours, with the same methodology DeepMind used in *Nature* β at roughly six orders of magnitude less compute. We do not yet beat PyMatching (`beat_rate = 0`); see the rewards module ([`qubit_medic/server/rewards.py`](qubit_medic/server/rewards.py)) and the [Reward Hacking](#reward-hacking--what-we-considered-and-what-the-function-defends-against) section below for the honest interpretation of the metrics.
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---
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## Reward Hacking β what we considered and what the function defends against
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GRPO optimises the policy directly against a scalar reward, so any gap between *"what the reward measures"* and *"what the task actually requires"* becomes a high-gradient attractor β the model collapses into the cheapest exploit the verifier cannot see. We listed the cheap exploits a 3B language model is most likely to find, then designed each reward channel so the exploit fails by construction.
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**The attacks we considered:**
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- **Empty Collapse** β the "always predict no errors" coward. Cheap, because at low noise rates most syndromes are trivially clean; if the verifier is symmetric, doing nothing is near-optimal.
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- **All-Qubits Flood** β flag every data qubit on every syndrome and hope the true ones are in there.
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- **Fixed-Qubit Guess** β lock onto a single qubit ID (e.g. centre qubit 4) and emit it for every prompt.
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- **PyMatching Mimicry** β copy the classical decoder verbatim. High logical-correction, zero learning beyond the baseline.
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- **Format Spam** β repeat the canonical answer line many times, hoping the parser scores the wrong copy.
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- **Out-of-Range Qubits** β emit qubit IDs the prompt never advertised (e.g. `99` on a `d=3` code).
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- **Verbose Ramble** β 500 tokens of impressive-sounding reasoning ending in a useless answer.
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- **Cosmetic Variants** β case changes, extra whitespace, line breaks inside brackets β anything that might fool a brittle regex.
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**How the reward function blocks each one:**
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| Attack | What kills it |
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| Empty Collapse | The set-aware Jaccard rule scores **0.0** when truth is non-empty and prediction is empty (the "missed errors" case) β the empty answer earns no `hamming_overlap` on hard syndromes. The `syndrome_consistency` reward additionally caps at **0.5** when the prediction is empty AND the syndrome shows activity, so the collapse can never approach the full 1.0. |
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| All-Qubits Flood | Set-aware Jaccard penalises false alarms symmetrically: claiming every qubit gives `\|inter\|/\|union\|` β 0 on small true sets. The implied Pauli frame typically flips the observable, so `logical_correction` collapses to 0 too. |
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| Fixed-Qubit Guess | A constant prediction agrees with a varying truth only by coincidence. `logical_correction` averages near random, `hamming_overlap` is poor, `pymatching_beat` is structurally 0. |
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| PyMatching Mimicry | `pymatching_beat` returns **0.0 by construction** whenever PyMatching is right β and PyMatching is right on most syndromes. The model can't earn the headline metric by imitating the baseline. |
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| Format Spam | The parser uses a **tail-anchored regex** (`...$` on rstripped output), so only the *last* `X_ERRORS=[...] Z_ERRORS=[...]` match in the completion is scored. Repetition reduces to the same content as a single line. |
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| Out-of-Range Qubits | The parser **validates every integer is in `[0, num_data_qubits)`** before populating the action. Out-of-range IDs set `parse_success=False`, which forces `format_compliance=0` and the action passed to physics has no support. |
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| Verbose Ramble | Same tail-anchored parser β verbose preface is invisible. The reward equals the bare-format submission. |
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| Cosmetic Variants | The parser is case-insensitive, tolerates spaces around `=` and inside brackets, and accepts newlines between the X and Z lists. This is robust parsing, not a hack β by design, syntactically equivalent answers score equivalently. |
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**The 5-component composition itself.** Reward components are *independent* by construction (each is a pure function of `(parsed_action, sample, layout)`; none observes another), so a single shortcut can't max out the total. The four "task" components are pulled toward 1.0 only when the prediction physically explains the syndrome AND preserves the logical observable; the fifth component (`pymatching_beat`) is structurally 0 unless the model genuinely outperforms the classical baseline. The total is then clamped to `[0, 1]` so no component can compensate for another beyond its weight.
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The full per-attack mathematical analysis, with source pointers for each defense, lives in [`docs/REWARD_HACKING.md`](docs/REWARD_HACKING.md). The short version: the reward function, by construction, demands real decoding.
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---
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## Evaluation Protocol
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Full protocol β episode budget (3,200 / 5,200 episodes), seed range, confidence intervals, hard-syndrome subset definition, per-level noise parameters, and copy-paste reproducibility commands β lives in [`docs/EVALUATION.md`](docs/EVALUATION.md). The headline pivot table this protocol produces is at [`results/comparison_table.md`](results/comparison_table.md).
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| 460 |
---
|
| 461 |
|