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

by Yanbao Zhang, Akshay Seshadri, Emanuel Knill
Publication Type
Conference Paper
Book Title
Optica Quantum 2.0 Conference and Exhibition Technical Digest Series (Optica Publishing Group, 2023)
Publication Date
Publisher Location
Washington, District of Columbia, United States of America
Conference Name
Quantum 2.0 Conference and Exhibition
Conference Location
Denver, Colorado, United States of America
Conference Sponsor
Optica
Conference Date
-

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.