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Quantum Foundations
Average entropy of Bogoliubov-Kubo-Mori random state ensemble
arXiv
Authors: Sohail, Lu Wei
Year
2026
Paper ID
69449
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
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Abstract
Random states play a foundational role in different branches of modern quantum science. In this work, we study a recently proposed random state ensemble induced from von Neumann entropy through the Bogoliubov-Kubo-Mori (BKM) metric. In particular, we derive an exact yet explicit formula of average entanglement entropy over BKM ensemble. In obtaining the formula, we only make use of properties of normalization constant of the ensemble in the absence of its correlation kernel, contrary to average entropy computation of other ensembles. This new framework paves the way for calculating higher-order cumulants of BKM ensemble beyond the average.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
- It adds a 2026 reference point for readers tracking recent quantum research.
- Random states play a foundational role in different branches of modern quantum science.
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