Multipartite quantum systems and symplectic toric manifolds

Hoshang Heydari

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arXiv · 1007.3388

Multipartite quantum systems and symplectic toric manifolds

Hoshang Heydari

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Abstract

In this paper we study the geometrical structures of multi-qubit states based on symplectic toric manifolds. After a short review of symplectic toric manifolds, we discuss the space of a single quantum state in terms of these manifolds. We also investigate entangled multipartite states based on moment map and Delzant's construction of toric manifolds and algebraic toric varieties.

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Hoshang Heydari. 2010-07-20. Multipartite quantum systems and symplectic toric manifolds. https://arxiv.org/abs/1007.3388

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