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Confidence-Interval Construction with Non-I.I.D. Spot-Checking Trials & its Application in Quantum Information

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Abstract

We develop a method to estimate the sum of conditional means of a sequence of random variables given our access to only a subsequence by spot-checking. The method works with non-independent-and-identically-distributed (non-i.i.d.) random variables and can be applied for certifying ongoing quantum information tasks.

© 2023 The Author(s)

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