Local optimization on pure Gaussian state manifolds

We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these families of states. The method is based on notions of gradient descent attuned to the local geometry which also allows for...

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Bibliographic Details
Main Author: Bennet Windt, Alexander Jahn, Jens Eisert, Lucas Hackl
Format: Article
Language:English
Published: SciPost 2021-03-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.10.3.066