KV cache grows. Flash Attention keeps the hot path in SRAM. KV cache — decoding step by step t=1 k1 v1 t=3 k1 k2 k3 v1 v2 v3 t=N each new query attends to N cached k/v — O(N) per step, not O(N²) Flash Attention — tiling into SRAM HBM 3 TB/s, 80 GB Q K V O no N×N ever materialized here SRAM (per SM) 30 TB/s, 256 KB Qt Kt Vt Ot running (max, sum) softmax exact, not approximated Flash Attention version timeline FA1 (2022) SRAM tiling 2× on A100 FA2 (2023) better parallelism 3× on A100 FA3 (2024) Hopper asynchrony, FP8 ~740 TFLOPs H100 FA4 (2026) Blackwell 5-stage pipe inference-first next backward + GQA varlen for training KV cache and Flash Attention are universal in 2026 — vLLM, SGLang, TensorRT-LLM, llama.cpp all assume both. Next frontier: PagedAttention (KV as virtual memory), prefix caching, speculative decoding.