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Multipartite quantum systems and symplectic toric manifolds
Published 20 Jul 2010 in quant-ph | (1007.3388v1)
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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