4 problems

Let $\psi$ be a pure even-parity state for Tests 1 or 2, or a pure state for Tests 4 or 5. In the two-copy cases set $p_{\operatorname{acc}}=\operatorname{Tr}[\psi^{\otimes 2}P]$,…

Let $n$ be the number of modes, and consider the symmetry-based tests for Gaussianity described in the paper. Constant-copy conjecture. An improved analysis can show that these tes…

Let $n$ be the number of modes, $E$ the mean-energy parameter, and let $\varepsilon_B$ denote the far-case testing parameter. The mixed-state lower bound is proved under the restri…

Let $\psi$ be a pure state that is at distance at least $\varepsilon$ from the relevant Gaussian-state set, with $\varepsilon$ sufficiently small. The rotation test has acceptance…