Quantum gatas

Quantum gates from the middle convolution of twisted Burau representations
Haru Negami — September 2026

This preprint presents a framework for constructing quantum gates from unitary braid group representations arising from middle convolution for KZ-type equations. It establishes conditions for non-Clifford and entangling gates, gives explicit decompositions into elementary quantum circuits, and includes a matched-resource comparison with Quantum Shannon decomposition.

Submitted to arXiv on September 25, 2026; currently awaiting public release. The PDF is available here ahead of my talk on September 30. An arXiv link will be added once available.