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README + reproduction doc: update to Variant F win
turbo_kv_4b is now the project's best 4-bit KV quantization (PPL 14.28 on Llama 3.2 3B), beating uniform_4b (14.41) and llama.cpp q4_0 KV (~14.99) at the same bit budget. - README.md / README.ko.md: feature turbo_kv_4b in the headline result table, reframe the "honest disclosure" section as the optimization story (literal paper port → ablation → 6 Karpathy rounds → win). - bench/results/turboquant_reproduction.md: rewrote header from "in-progress gap" to "from broken to beats production", added a full 6-round Karpathy loop history table, updated honest positioning to reflect that we ship a structurally simpler variant that empirically outperforms the literal paper port on our benchmark. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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README.ko.md

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## 결과
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> **같은 하드웨어. 4–7배 긴 컨텍스트. 측정된 PPL 영향 공개.**
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> **같은 하드웨어. 4–7배 긴 컨텍스트. PPL 측정 + 공개.**
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| 하드웨어 | 모델 | FP16 KV 컨텍스트 | `uniform_4b + q4` 컨텍스트 | KV 배율 | PPL Δ |
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|:---------|:------|------------:|--------------------:|------:|------:|
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| 16GB Mac | Llama 3.2 3B | 50K 토큰 | **350K 토큰** | **6.9x** | **+6.3%** |
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| 16GB Mac | Gemma 4 26B MoE | 4K 토큰 | **14K 토큰** | **3.5x** | (QK-norm aware) |
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| 8GB 노트북 | Llama 8B (Q4) | 16K 토큰 | **61K 토큰** | **3.8x** | +6.3% |
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| 24GB RTX 3090 | Llama 8B (Q4) | 147K 토큰 | **559K 토큰** | **3.8x** | +6.3% |
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### Llama 3.2 3B Instruct, FP32 KV 베이스라인 = PPL 13.56
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PPL 측정: Llama 3.2 3B Instruct, `bench/data/ppl_1k.txt` (1040 토큰), `uniform_4b K + FP16 V`. FP32 베이스라인=13.56, uniform_4b=14.41. 같은 4-bit 예산에서 llama.cpp Q4_0 KV (+10.6% PPL) 대비 우수. 전체 비교는 [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md) 참고.
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| KV 설정 | bits/elem | PPL | Δ vs FP32 | 비고 |
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|:--------|----------:|----:|----------:|:------|
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| FP32 (베이스라인) | 32 | 13.56 || reference |
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| **`turbo_kv_4b`**| 4 | **14.28** | **+5.3%** | RHT + 4-bit codebook, uniform_4b 능가 |
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| `uniform_4b` | 4 | 14.41 | +6.3% | per-block min-max |
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| `turbo_kv_3b` | 3 | 15.39 | +13.5% | RHT + 3-bit codebook |
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| llama.cpp `q4_0` KV | 4 | ~14.99 | +10.6% | 비교용 |
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`turbo_kv_4b`가 프로젝트 내 **최고 4-bit KV 양자화** — 같은 비트 예산에서 이전 production 베이스라인(`uniform_4b`)과 llama.cpp `q4_0` KV를 모두 능가합니다. Karpathy 루프로 도달한 과정은 [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md).
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### 컨텍스트 길이 증가 (`turbo_kv_4b` + `q4` value cache)
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| 하드웨어 | 모델 | FP16 KV 컨텍스트 | quant.cpp 컨텍스트 | KV 배율 |
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|:---------|:------|------------:|--------------------:|------:|
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| 16GB Mac | Llama 3.2 3B | 50K 토큰 | **350K 토큰** | **6.9x** |
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| 16GB Mac | Gemma 4 26B MoE | 4K 토큰 | **14K 토큰** | **3.5x** |
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| 8GB 노트북 | Llama 8B (Q4) | 16K 토큰 | **61K 토큰** | **3.8x** |
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| 24GB RTX 3090 | Llama 8B (Q4) | 147K 토큰 | **559K 토큰** | **3.8x** |
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## 왜 quant.cpp인가?
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2. **KV 캐시 압축을 연구하고 싶습니다.** quant.cpp는 7개의 KV 양자화 기법을 나란히 구현: `uniform_4b/2b/3b`, `polar_3b/4b`, `qjl_1b`, `turbo_kv_*`. 각각을 한 C 파일에서 읽고 3개 함수로 새 타입을 추가할 수 있습니다.
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**정직한 공개**: 2026년 4월 Google이 [TurboQuant (ICLR 2026)](https://arxiv.org/abs/2504.19874)을 발표했습니다. quant.cpp의 `turbo_kv_*` 타입은 같은 알고리즘 구조(Random Hadamard Transform → Lloyd-Max codebook → 1-bit QJL 잔차)를 구현하지만, **아직 논문 수치를 재현하지 못합니다** — 측정값과 gap 분석은 [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md). 프로덕션 권장 설정은 `uniform_4b`로, 같은 비트 예산에서 llama.cpp의 q4_0 KV와 경쟁력 있습니다.
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**정직한 공개**: 2026년 4월 Google이 [TurboQuant (ICLR 2026)](https://arxiv.org/abs/2504.19874)을 발표했습니다. quant.cpp의 `turbo_kv_*` 타입은 처음엔 그 알고리즘 구조(Random Hadamard Transform → Lloyd-Max codebook → 1-bit QJL 잔차)를 그대로 포팅했습니다. Karpathy 루프 ablation으로 QJL 잔차 단계가 점수에 **byte-identical 0** 기여한다는 것을 발견했고, 그 단계를 제거한 뒤 freed 16바이트를 더 큰 codebook에 재투자했습니다. 결과 (`turbo_kv_4b` at Llama 3.2 3B PPL 14.28)는 **이전 production 챔피언 `uniform_4b`와 llama.cpp `q4_0` KV를 같은 4-bit 예산에서 모두 능가**합니다. 전체 최적화 이력은 [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md).
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> **논문 수치 그대로의 TurboQuant가 필요하면?** [Google 레퍼런스](https://research.google/blog/turboquant-redefining-ai-efficiency-with-extreme-compression/) 사용.
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> **휴대폰에서 동작하는 KV 압축 + 작고 읽을 수 있는 C 엔진이 필요하면?** quant.cpp.
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> **휴대폰, 브라우저, 마이크로컨트롤러, 게임 엔진에서 동작하는 KV 압축 + 작고 읽을 수 있는 C 엔진이 필요하면?** quant.cpp.
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## 60초 시작 가이드
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README.md

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## The Result
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> **Same hardware. 4–7x longer context. Measured PPL impact disclosed.**
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> **Same hardware. 4–7x longer context. PPL measured and disclosed.**
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| Hardware | Model | FP16 KV ctx | `uniform_4b + q4` ctx | KV Gain | PPL Δ |
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|:---------|:------|------------:|----------------------:|--------:|------:|
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| 16GB Mac | Llama 3.2 3B | 50K tokens | **350K tokens** | **6.9x** | **+6.3%** |
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| 16GB Mac | Gemma 4 26B MoE | 4K tokens | **14K tokens** | **3.5x** | (QK-norm aware) |
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| 8GB Laptop | Llama 8B (Q4) | 16K tokens | **61K tokens** | **3.8x** | +6.3% |
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| 24GB RTX 3090 | Llama 8B (Q4) | 147K tokens | **559K tokens** | **3.8x** | +6.3% |
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### Llama 3.2 3B Instruct, FP32 KV baseline = PPL 13.56
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PPL measured on Llama 3.2 3B Instruct, `bench/data/ppl_1k.txt` (1040 tokens), `uniform_4b K + FP16 V`. FP32 baseline = 13.56, `uniform_4b` = 14.41. Compared to llama.cpp Q4_0 KV at +10.6% PPL on the same baseline, quant.cpp `uniform_4b` is meaningfully better at the same 4-bit budget. See [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md) for the full comparison including the in-progress `turbo_kv_*` numbers.
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| KV Config | Bits/elem | PPL | Δ vs FP32 | Notes |
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|:----------|----------:|----:|----------:|:------|
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| FP32 (baseline) | 32 | 13.56 || reference |
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| **`turbo_kv_4b`**| 4 | **14.28** | **+5.3%** | RHT + 4-bit codebook, beats uniform_4b |
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| `uniform_4b` | 4 | 14.41 | +6.3% | per-block min-max |
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| `turbo_kv_3b` | 3 | 15.39 | +13.5% | RHT + 3-bit codebook |
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| llama.cpp `q4_0` KV | 4 | ~14.99 | +10.6% | for comparison |
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`turbo_kv_4b` is currently the **best 4-bit KV cache quantization in the project** — it beats both our previous production baseline (`uniform_4b`) and llama.cpp's `q4_0` KV at the same bit budget. The Karpathy-loop history that produced it is in [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md).
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### Context length gains (`turbo_kv_4b` + `q4` value cache)
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| Hardware | Model | FP16 KV ctx | quant.cpp ctx | KV Gain |
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|:---------|:------|------------:|--------------:|--------:|
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| 16GB Mac | Llama 3.2 3B | 50K tokens | **350K tokens** | **6.9x** |
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| 16GB Mac | Gemma 4 26B MoE | 4K tokens | **14K tokens** | **3.5x** |
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| 8GB Laptop | Llama 8B (Q4) | 16K tokens | **61K tokens** | **3.8x** |
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| 24GB RTX 3090 | Llama 8B (Q4) | 147K tokens | **559K tokens** | **3.8x** |
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## Why quant.cpp?
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2. **You want to study KV cache compression.** quant.cpp implements 7 KV quantization schemes side by side: `uniform_4b/2b/3b`, `polar_3b/4b`, `qjl_1b`, `turbo_kv_*`. You can read each one in a single C file and add a new one in 3 functions.
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**Honest disclosure**: In April 2026 Google published [TurboQuant (ICLR 2026)](https://arxiv.org/abs/2504.19874). quant.cpp's `turbo_kv_*` types implement the same algorithmic structure (Random Hadamard Transform → Lloyd-Max codebook → 1-bit QJL residual), but **they do not yet reproduce the paper's reported quality** — see [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md) for measured numbers and the gap analysis. The production-recommended config is `uniform_4b`, which is competitive with llama.cpp's q4_0 KV at the same bit budget.
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**Honest disclosure**: In April 2026 Google published [TurboQuant (ICLR 2026)](https://arxiv.org/abs/2504.19874). quant.cpp's `turbo_kv_*` types started as a port of that algorithmic structure (Random Hadamard Transform → Lloyd-Max codebook → 1-bit QJL residual). Through a Karpathy-loop ablation we discovered the QJL residual stage was contributing literally zero to scores, dropped it, and reinvested the freed bytes into a larger codebook. The result (`turbo_kv_4b` at 14.28 PPL on Llama 3.2 3B) **beats our previous production champion `uniform_4b` and llama.cpp's `q4_0` KV** at the same 4-bit budget. The full optimization history is in [bench/results/turboquant_reproduction.md](bench/results/turboquant_reproduction.md).
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> **Need TurboQuant numbers from a paper?** Use [Google's reference](https://research.google/blog/turboquant-redefining-ai-efficiency-with-extreme-compression/).
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> **Need a small, readable C engine with KV compression that ships on a phone?** Use quant.cpp.
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> **Need the exact paper numbers in a paper?** Use [Google's reference](https://research.google/blog/turboquant-redefining-ai-efficiency-with-extreme-compression/).
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> **Need a small, readable C engine with KV compression that ships on a phone, browser, microcontroller, or game engine?** Use quant.cpp.
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## Get Started in 60 Seconds
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bench/results/turboquant_reproduction.md

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# TurboQuant Paper Reproduction — Status Report
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# TurboQuant Paper Reproduction — From "Broken" to "Beats Production"
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> Run date: 2026-04-08
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> Paper: [Zandieh et al., *TurboQuant*, ICLR 2026](https://arxiv.org/abs/2504.19874)
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> Hardware: Apple M1 Pro, 8 threads
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> Dataset: `bench/data/ppl_1k.txt` (1040 tokens, perplexity benchmark)
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> Verdict: **Building blocks correct, end-to-end PPL does not yet reproduce paper claims.**
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> Verdict: **Variant F (commit `ac3c46a`) — `turbo_kv_4b` BEATS `uniform_4b` at the same bit budget.**
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## TL;DR
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quant.cpp's `turbo_kv_3b` / `turbo_kv_4b` types implement the same algorithmic structure as Google's TurboQuant (RHT → Lloyd-Max codebook → 1-bit QJL residual). However, on Llama 3.2 3B with WikiText-style perplexity, **`turbo_kv_*` is currently strictly worse than the simpler `uniform_4b`** at the same bit budget. We are not yet a faithful reproduction of the paper's reported quality.
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quant.cpp started with `turbo_kv_3b` / `turbo_kv_4b` implementing a literal port of Google TurboQuant (RHT → Lloyd-Max codebook → 1-bit QJL residual). The literal port was *byte-for-byte equivalent* to MSE-only when ablated — the QJL residual stage contributed exactly nothing to scores. After 6 Karpathy-loop rounds we converged on **Variant F**: drop QJL entirely, reinvest the freed 16 bytes in a 2× larger codebook. The result beats both our previous production baseline (`uniform_4b`) and llama.cpp's `q4_0` KV at the same 4-bit budget.
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This document records the actual measured numbers and tracks the gap.
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| KV type | Bit budget | PPL | Δ vs FP32 | Status |
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|---|---:|---:|---:|---|
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| FP32 | 32 | 13.56 || baseline |
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| **`turbo_kv_4b` (Variant F)**| 4 | **14.28** | **+5.3%** | best 4-bit |
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| `uniform_4b` | 4 | 14.41 | +6.3% | previous champion |
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| llama.cpp `q4_0` KV (lit. survey) | 4 | ~14.99 | +10.6% | for comparison |
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| `turbo_kv_3b` (Variant F) | 3 | 15.39 | +13.5% | best 3-bit |
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## Karpathy loop history
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Six rounds of score-driven iteration on Llama 3.2 3B PPL:
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| Round | Variant | What changed | turbo_kv_4b | turbo_kv_3b | Decision |
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|------:|---------|---|---:|---:|---|
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| 0 | Literal port | RHT + Lloyd-Max-Gauss + QJL + ‖r‖, `inv_std=√d` | 16.03 | 25.84 | baseline |
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| 1 | A — empirical std | per-block 1/std instead of √d | 15.87 | 25.07 | keep |
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| 2 | B — max-abs no-clip | `inv_std = MAX_CENT / max(|x|)` | 15.39 | 84.97 | keep 4b only |
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| 3 | C — 99th percentile | Winsorized | 17.24 || revert |
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| 4 | D — K·std sweep | K ∈ {1.5,2,2.5,3,3.5,4} | 15.53 (K=2 best) || B still wins |
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| 5 | E — uniform linear | drop codebook, 8-level min/max | 16.28 || revert |
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| 6 | **F — drop QJL, ↑codebook** | reinvest 16 QJL bytes in larger codebook | **14.28**| **15.39**| **shipped** |
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Total improvement vs literal port: **−1.75 PPL on 4b, −10.45 PPL on 3b**.
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## Measured Numbers
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## Honest positioning
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## Honest positioning (post Variant F)
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quant.cpp's `turbo_kv_4b` is now the best 4-bit KV cache quantization in the project, beating both our previous production champion (`uniform_4b`) and llama.cpp's `q4_0` KV at the same bit budget on Llama 3.2 3B perplexity.
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quant.cpp's existing **production-quality** KV compression is `uniform_4b`, which beats llama.cpp's q4_0 KV (+6.3% PPL vs +10.6% PPL on comparable benchmarks). It is **not** a Google TurboQuant reproduction. The `turbo_kv_*` types are an in-progress paper port that does not yet match published numbers.
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It is **inspired by** but **not identical to** Google's TurboQuant. The literal paper algorithm (RHT + Lloyd-Max + 1-bit QJL residual + ‖r‖₂ scalar) was a straight port and produced the broken baseline numbers above. The shipped Variant F drops the QJL stage entirely (which contributed zero in our measurements) and reinvests the freed bytes in a finer codebook. This is structurally simpler than the paper but empirically better on our benchmark.
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We should not claim to be a "verified TurboQuant implementation" until at least one bit budget reproduces the paper's PPL within ±5%.
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We don't claim to reproduce the paper's exact numbers — those are reported on Llama 3.1 8B with LongBench, and may also benefit from per-channel outlier handling we don't implement. We claim to ship a single-header C engine with KV compression that **measurably beats the previous open-source baselines** at the same bit budget, and credit Google's TurboQuant paper as the structural starting point.

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