51 citations · 51 across the 2 of their papers we have counts for
3 papers
quant-ph2022
Duality theory for Clifford tensor powers
Felipe Montealegre-Mora, David Gross
The representation theory of the Clifford group is playing an increasingly prominent role in quantum information theory, including in such diverse use cases as the construction of…
quant-ph2020★ 51 cited
Efficient unitary designs with a system-size independent number of non-Clifford gates
Jonas Haferkamp, Felipe Montealegre-Mora, Markus Heinrich +3
Many quantum information protocols require the implementation of random unitaries. Because it takes exponential resources to produce Haar-random unitaries drawn from the full -q…
math.RT2019
Rank-deficient representations in the Theta correspondence over finite fields arise from quantum codes
Felipe Montealegre-Mora, David Gross
Let V be a symplectic vector space and let be the oscillator representation of Sp(V). It is natural to ask how the tensor power representation decomposes. If V…