LoopVQ Breaks 1-bit KV Cache Barrier at 0.5 bpe, 6.1x Throughput on Looped Transformers

Sub-1-bit KV cache is a genuine milestone claim; looped transformers are an emerging parameter-efficient architecture where the shared-layer structure creates a novel multi-step KV redundancy that LoopVQ exploits, making the approach structurally distinct from standard KV quantization.