Work

Quantum gates from the middle convolution of twisted Burau representations

Year: 2026
Type: preprint
Abstract: We study braid representations obtained from character-twisted Burau inputs by the Katz-Long-Moody (KLM) construction, which corresponds to multiplicative middle convolution for KZ-type equations. For $n\ge2$, let $q=e^{2πia}$, $τ=e^{2πic}$, where $a,c>0$ and $nc+(n+1)a<1$. Known form and signature results give a positive-definite invariant form for $λ=e^{2πil}$, $0
Author: Negami, Haru
Institution: Chiba University
Language: English
Open Access status: green
OpenAlex ID: W7216468021
Cites: 38
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Related to: 10