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Decomposition of symmetric separable states and ground state energy of bosonic systems

We prove that every symmetric separable state admits a convex decomposition into symmetric pure product states. While the result is not new in itself, here we focus on convex geometry. We discuss the decomposition in the context of numerical ranges and ground state problems of infinite bosonic syste...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Author: Weis, Stephan
Format: Article
Language:English
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Summary:We prove that every symmetric separable state admits a convex decomposition into symmetric pure product states. While the result is not new in itself, here we focus on convex geometry. We discuss the decomposition in the context of numerical ranges and ground state problems of infinite bosonic systems.
ISSN:2331-8422