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.
机构:
China Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Sichuan, Peoples R China
China Acad Engn Phys, Microsyst & Terahertz Res Ctr, Mianyang 621999, Sichuan, Peoples R China
Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R ChinaChina Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Sichuan, Peoples R China
Yao, Yao
Xiao, Xing
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机构:
Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R ChinaChina Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Sichuan, Peoples R China
Xiao, Xing
Ge, Li
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机构:
Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R ChinaChina Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Sichuan, Peoples R China
Ge, Li
Sun, C. P.
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机构:
Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R China
Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Anhui, Peoples R ChinaChina Acad Engn Phys, Inst Elect Engn, Mianyang 621999, Sichuan, Peoples R China