English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The Bures-Hall distance metric between quantum states is a unique measurethat satisfies various useful properties for quantum information processing. Inthis work, we study the statistical behavior of quantum entanglement over theBures-Hall ensemble as measured by von Neumann entropy. The average von Neumannentropy over such an ensemble has been recently obtained, whereas the mainresult of this work is an explicit expression of the corresponding variancethat specifies the fluctuation around its average. The starting point of thecalculations is the connection between correlation functions of the Bures-Hallensemble and these of the Cauchy-Laguerre ensemble. The derived varianceformula, together with the known mean formula, leads to a simple but accurateGaussian approximation to the distribution of von Neumann entropy offinite-size systems. This Gaussian approximation is also conjectured to be thelimiting distribution for large dimensional systems.

Exact variance of von Neumann entanglement entropy over the Bures-Hall measure