3 papers
math.RT2021
Certifying Numerical Decompositions of Compact Group Representations
Felipe Montealegre-Mora, Denis Rosset, Jean-Daniel Bancal +1
We present a performant and rigorous algorithm for certifying that a matrix is close to being a projection onto an irreducible subspace of a given group representation. This addres…
quant-ph2020
Stabilizer extent is not multiplicative
Arne Heimendahl, Felipe Montealegre-Mora, Frank Vallentin +1
The Gottesman-Knill theorem states that a Clifford circuit acting on stabilizer states can be simulated efficiently on a classical computer. Recently, this result has been generali…
quant-ph2019
RepLAB: a computational/numerical approach to representation theory
Denis Rosset, Felipe Montealegre-Mora, Jean-Daniel Bancal
We present a MATLAB/Octave toolbox to decompose finite dimensionial representations of compact groups. Surprisingly, little information about the group and the representation is ne…