From QJL to TurboQuant: Data-Oblivious Vector Quantization

TurboQuant achieves near-optimal vector quantization without seeing the data. This post traces the full theory, from random projections and 1-bit quantized JL transforms through polar decompositions to the final distortion bounds, with complete proofs.

April 2, 2026 · 24 min · Zakaria Laabsi