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On the Power of Adaptivity in Testing Quantum States in Fidelity
We study the problems of quantum state certification, equivalence testing and independence testing. In certification, given samples of an unknown quantum state $ρ$ and the description of a state $σ$, the goal is to test whether $ρ=σ$, or whether $ρ$ and $σ$ are far in a given distance measure. In eq
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