Average entropy of Bogoliubov-Kubo-Mori random state ensemble

• URL: http://arxiv.org/abs/2606.17960v1
• Date: Tue, 16 Jun 2026 14:11:03 GMT
• Title: Average entropy of Bogoliubov-Kubo-Mori random state ensemble
• Abstract summary: We study a recently proposed random state ensemble induced from von Neumann entropy through the Bogoliubov-Kubo-Mori metric.<n>In particular, we derive an exact yet explicit formula of average entanglement entropy over BKM ensemble.
• Score: 2.017985960233689
• License: http://creativecommons.org/licenses/by/4.0/
• 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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