August 2023

Conference Paper

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

By:
Zhang, Yanbao ; Seshadri, Akshay; Knill, Emanuel
Page Number:
QTu3A.20-QTu3A.21
Book Title:
Optica Quantum 2.0 Conference and Exhibition Technical Digest Series (Optica Publishing Group, 2023)
Publication Date:
August 2023
Publisher Location:
Optica Publishing Group, 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

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.


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