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Spectral moments of Bures-Hall ensemble and applications to entanglement entropy

arXiv
Authors: Linfeng Wei, Youyi Huang, Lu Wei

Year

2026

Paper ID

3017

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We study spectral moments of the Bures-Hall random matrices ensemble. The main result establishes a recurrence relation for the k-th spectral moment valid for a real-valued k, in contrast to prevailing results in the literature of different ensembles of assuming an integer k. The key to establish the recurrence relation is the obtained Christoffel-Darboux formulas of correlation kernels of the ensemble that avoid tedious summations. As an application of our spectral moment results, we re-derive the formulas of average von Neumann entropy and quantum purity of Bures-Hall ensemble conjectured by Ayana Sarkar and Santosh Kumar. This work is dedicated to the memory of Santosh Kumar.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We study spectral moments of the Bures-Hall random matrices ensemble.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.00955 [2] arXiv https://arxiv.org/abs/2602.00955 [3] Publisher https://arxiv.org/abs/2602.00955

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