Stage 2: QJL (Quantized Johnson-Lindenstrauss). While PolarQuant manages primary compression, all quantization introduces error, with some accumulating in dot products used for attention score calculations. QJL corrects this bias through Johnson-Lindenstrauss transformation of residual error - random projection preserving high-dimensional point distances, then reducing each component to single sign bits (+1/-1). This produces unbiased inner product estimators with zero additional memory overhead. Error correction requires no storage capacity (see diagram for conceptual comparison between standard quantized KV cache and QJL-transformed versions).
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