The approximate stellar rank serves as an operational measure of non-Gaussianity that yields bounds and new no-go results for approximate and probabilistic Gaussian state conversion and distillation.
Polynomial approximation of non-Gaussian unitaries by counting one photon at a time
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Assessing non-Gaussian quantum state conversion with the stellar rank
The approximate stellar rank serves as an operational measure of non-Gaussianity that yields bounds and new no-go results for approximate and probabilistic Gaussian state conversion and distillation.