Fermionic non-Gaussianity is a key resource for universal quantum computation, and its behavior in quantum many-body systems has attracted growing interest. Recently, a convolution-based measure, which we call the magic R\'enyi entropy (MRE), has been proposed as a resource measure of non-Gaussianity, but its evaluatio...
Ryota Matsuda, Masahiro Hoshino, Y. Ashida· 0 citations
Fermionic non-Gaussianity is a resource for universal quantum computation that can be generated by interactions in quantum many-body systems. Using the magic R\'enyi entropy (MRE) as a measure of non-Gaussianity, we derive its universal upper bound and Haar mean, proving that typical Haar-random states attain the maxim...
Masahiro Hoshino, Ryota Matsuda, Y. Ashida· 2 citations
This work introduces a unified measure, the magic R\'enyi entropy (MRE), to quantify computational resources in spins, bosons, and fermions on an equal footing and shows that the MRE is a resource monotone under stabilizer and Gaussian protocols involving measurements and feedforward operations.
