19 citations · 31 across the 10 of their papers we have counts for
14 papers
Error Correction Properties of Covariant Bosonic Encodings
Frederic St-Amand, Jean-Philippe Burelle, Baptiste Royer
Bosonic codes offer a promising approach towards hardware-efficient fault tolerance, with many leading examples such as the cat-code and the GKP code organized by an underlying sym…
Products of exact dynamical systems and Lorentzian continued fractions
Brandon G. Barreto-Rosa, Jean-Philippe Burelle, Anton Lukyanenko +1
We describe a new continued fraction system in Minkowski space , proving convergence, ergodicity with respect to an explicit invariant measure, and Lagrange's theo…
Deformations of quasi-Hamiltonian spaces
Jean-Philippe Burelle, Mohamed Moussadek Maiza, Maxence Mayrand
We introduce a notion of deformations of quasi-Hamiltonian -spaces to Hamiltonian -spaces and provide several examples. In particular, we show that the double of…
Proper affine deformations of positive representations
Jean-Philippe Burelle, Neža Žager Korenjak
We define for every positive Anosov representation of a nonabelian free group into a family of -valued cocycles which induce proper affine…
Dynamics on nilpotent character varieties
Jean-Philippe Burelle, Sean Lawton
Let R(N,G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected compact Lie group G, and let X(N,…
Piecewise circular curves and positivity
Jean-Philippe Burelle, Ryan Kirk
We introduce the moduli space of generic piecewise circular -gons in the Riemann sphere and relate it to a moduli space of Legendrian polygons. We prove that when , this m…