The Page Curve for Fermionic Gaussian States

no code implementations • 9 Mar 2021 • Eugenio Bianchi, Lucas Hackl, Mario Kieburg

In a seminal paper, Page found the exact formula for the average entanglement entropy for a pure random state.

Quantum Physics Statistical Mechanics General Relativity and Quantum Cosmology

Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics

no code implementations • 22 Dec 2020 • Mario Kieburg, Shi-Hao Li, Jiyuan Zhang, Peter J. Forrester

The framework of spherical transforms and P\'olya ensembles is of utility in deriving structured analytic results for sums and products of random matrices in a unified way.

Point Processes Probability Mathematical Physics Classical Analysis and ODEs Mathematical Physics 60B20, 15B52, 43A85, 43A90