Quantum Algorithm for Distribution-Free Junta Testing

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Inspired by a recent classical distribution-free junta tester by Chen, Liu, Serverdio, Sheng, and Xie (STOCu002718), we construct a quantum tester for the same problem with complexity $O(k/varepsilon)$, which constitutes a quadratic improvement. We also prove that there is no efficient quantum algorithm for this problem using quantum exam...More