Measuring quantum relative entropy with finite-size effect

Measuring quantum relative entropy with finite-size effect

We study the estimation of relative entropy $D(\rho\|\sigma)$ when $\sigma$ is known. We show that the Cramér-Rao type bound equals the relative varentropy. Our estimator attains the Cramér-Rao type bound when the dimension $d$ is fixed. It also achieves the sample complexity $O(d^2)$ when the dimen...

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Bibliographic Details
Main Author: Masahito Hayashi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-05-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-05-05-1725/pdf/
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