Optimal testing of fermionic and bosonic Gaussian states
We study the problem of property testing quantum states: given a pure state $|\psi\rangle$ that either (A) belongs to some class $C$ of pure states, or (B) is $\varepsilon$-far in trace distance from all states in $C$, determine which is the case with high probability. It is known that there exists classes $C$ for whic...