Date: Monday, October 30, 2017
Location: 1866 East Hall (4:00 PM to 5:00 PM)
Title: On the exact moments of von Neumann entropy of quantum bipartite systems
Abstract: It was recently conjectured by Vivo, Pato, and Oshanin (Phys. Rev. E 93, 052106 (2016)) that for a quantum system of Hilbert dimension $mn$ in a pure state, the variance of the von Neumann entropy of a subsystem of dimension $m\leq n$ is given by
\begin{equation*}
\psi_{1}\left(mn+1\right)+\frac{m+n}{mn+1}\psi_{1}\left(n\right)\frac{(m+1)(m+2n+1)}{4n^{2}(mn+1)},<br
\end{equation*}
where $\psi_{1}(\cdot)$ is the trigamma function. We give a proof of the above formula in this talk. We also discuss some possible approaches to obtain the exact higher moments.
Files:
Speaker: Lu Wei
Institution: University of MichiganDearborn
Event Organizer: Thomas Bothner bothner@umich.edu
