Effect of non-Gaussianity on optimal cloning rates

Determine whether the degree of non-Gaussianity affects the optimal cloning rate for non-Gaussian bosonic and fermionic state families.

Background

The paper proposes non-Gaussian bosonic and fermionic states as natural targets for future cloning analysis. Unlike Gaussian states, these families do not form group orbits, so the orbit-based techniques developed in the paper do not directly extend to them.

The authors identify a measure of non-Gaussianity related to learning hardness and explicitly ask whether that measure also governs optimal cloning rates.