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

Published

Author(s)

Emanuel Knill, Akshay Seshadri, Yanbao Zhang

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
Proceedings Title
Optica Quantum 2.0 Conference and Exhibition, Quantum 2.0 2023
Conference Dates
June 18-22, 2023
Conference Location
Denver, CO, US
Conference Title
Quantum 2.0 2023

Keywords

Quantum information, hypothesis testing, parameter estimation

Citation

Knill, E. , Seshadri, A. and Zhang, Y. (2023), Confidence-Interval Construction with Non-I.I.D. Spot-Checking Trials & its Application in Quantum Information, Optica Quantum 2.0 Conference and Exhibition, Quantum 2.0 2023, Denver, CO, US, [online], https://doi.org/10.1364/QUANTUM.2023.QTu3A.20, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=936373 (Accessed December 10, 2025)

Issues

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Created June 22, 2023, Updated December 9, 2025
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