Multipartite quantum systems and symplectic toric manifolds
classification
🪐 quant-ph
keywords
manifoldstoricsymplecticmultipartitequantumstatesalgebraicconstruction
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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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