Wednesday, January 11, 2023 - 09:00 in ZOOM - Video Conference
Entropy fluctuation formulas of fermionic Gaussian states
A talk in the Seminar Zufallsmatrizen series by
Youyi Huang from Department of Computer Science, Texas Tech University
| Abstract: |
We study the statistical behaviour of entanglement in quantum bipartite
systems over fermionic Gaussian states as measured by von Neumann entropy.
The average von Neumann entropy formulas with and without particle number
constrain have been recently obtained, whereas the main results of this work
are the exact yet explicit formulas of the corresponding variances. In particular,
the results resolve the recent conjecture on the variance in the case of no
particle number constrain. Different than the previous methods in computing
the exact variances in other generic state models, the key ingredient in proving
the results of this work relies on a new simplification framework. The new
framework consists of a set of new tools of what we refer to as dummy
summation and re-summation techniques in simplifying finite summations. As
a byproduct, the proposed framework leads to various new transformation
formulas of hypergeometric functions.//
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Please contact Leslie Molag (lmolag@math.uni-bielefeld.de) for details regarding access
Within the CRC this talk is associated to the project(s): C6 |
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