Southwest Quantum Information and Technology

Entropy fluctuation formulas of fermionic Gaussian states

Presenting Author: Youyi Huang, Texas Tech University
Contributing Author(s): Lu Wei

We study the statistical behavior of entanglement in quantum bipartite systems over fermionic Gaussian states as measured by von Neumann entropy. The average von Neumann entropy formulas of fermionic Gaussian states with and without particle number constrain have been recently derived in the literature, whereas the main results of this work are the exact yet explicit formulas of the corresponding variance. Different than the previous computation of exact moments in other models of generic states, the key ingredient in proving the results of this work relies on a new simplification framework. The new framework involvs a set of novel tools of dummy summations and resummation techniques. As a byproduct, the proposed framework leads to various new transformation formulas of special functions.

(Session 5 : Thursday from 5:00 pm - 7:00 pm)