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math-ph2026
Average entropy of Bogoliubov-Kubo-Mori random state ensemble
Sohail, Lu Wei
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 en…
math-ph2025
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…
math-ph2025
Bochner's theorem for finite inverse semigroups and its connection to Choi's theorem
Sohail, Sahil
Bochner's theorem characterizes positive definite functions on groups through the positivity of their Fourier transforms and plays a fundamental role in Harmonic analysis. While Bo…