Local optimization on pure Gaussian state manifolds
Abstract
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 the implementation of local constraints. The natural group action of the symplectic and orthogonal group enables us to compute the geometric gradient...
Paper Details
Title
Local optimization on pure Gaussian state manifolds
Published Date
Sep 24, 2020
Journal
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