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Bounded-Error Quantum State Identification and Exponential Separations in Communication Complexity

Bounded-Error Quantum State Identification and Exponential Separations in Communication Complexity

We consider the following problem of bounded-error quantum state identification: Given either state $\alpha_0$ or state $\alpha_1$, we are required to output β€œ0”, β€œ1”, or β€œ?” (β€œdon't know"), such that conditioned on outputting β€œ0” or β€œ1”, our guess is correct with high probability. The goal is to maximize the probability …