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math.AG2026
Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes
Maxence Mayrand, Baptiste Royer
We study a class of quantum error-correcting codes through the geometry of complex abelian varieties. These codes, introduced by Gottesman--Kitaev--Preskill, are built from symplec…
math.AG2018
Kempf-Ness type theorems and Nahm equations
Maxence Mayrand
We prove a version of the affine Kempf-Ness theorem for non-algebraic symplectic structures and shifted moment maps, and use it to describe hyperkahler quotients of T*G, where G is…