Quantum state testing with restricted measurements

Yuhan Liu, Jayadev Acharya

We study quantum state testing where the goal is to test whether $\rho ={\rho }_0\in {\mathbb{C}}^{d\times d}$ or $\Vert \rho -{\rho }_0{\Vert }_1>\epsilon$, given $n$ copies of $\rho$ and a known state descriptio…