5 papers
Spectral moments of Bures-Hall ensemble and applications to entanglement entropy
Linfeng Wei, Youyi Huang, Lu Wei
We study spectral moments of the Bures-Hall random matrices ensemble. The main result establishes a recurrence relation for the -th spectral moment valid for a real-valued ,…
Non-intersecting Squared Bessel Process: Spectral Moments and Dynamical Entanglement Entropy
Youyi Huang, Lu Wei
Statistical ensembles of reduced density matrices of bipartite quantum systems play a central role in entanglement estimation, but do not capture the non-stationary nature of entan…
Higher-order spectral form factors of circular unitary ensemble
Sohail, Youyi Huang, Lu Wei
Spectral form factor (SFF), one of the key quantity from random matrix theory, serves as an important tool to probe universality in disordered quantum systems and quantum chaos. In…
Skewness of von Neumann entropy over Bures-Hall random states
Linfeng Wei, Youyi Huang, Lu Wei
We study the degree of entanglement, as measured by von Neumann entropy, of bipartite systems over the Bures-Hall ensemble. Closed-form expressions of the first two cumulants of vo…
Cumulant Structures of Entanglement Entropy
Youyi Huang, Lu Wei
We present a new method to derive exact cumulant expressions of any order of von Neumann entropy over Hilbert-Schmidt ensemble. The new method uncovers hidden cumulant structures t…