2 problems

Let $\N$ be a bosonic Gaussian channel, and let the optimal squashing channel in Equation … is always a bosonic Gaussian channel. This conjecture would reduce the optimization defi…

Majorization conjecture. The output states $\Phi(|\alpha\rangle\langle\alpha|)$ resulting from coherent input states majorize the output $\Phi(\rho)$ for every input state $\rho$.