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Qubit Geometry and Conformal Mapping
Authors:Lee  Jae-weon  Kim  Chang Ho  Lee  Eok Kyun  Kim  Jaewan  Lee  Soonchil
Affiliation:(1) Department of Chemistry, School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea;(2) Department of Physics, Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea
Abstract:Identifying the Bloch sphere with the Riemann sphere (the extended complex plane), we obtain relations between single qubit unitary operations and Möbius transformations on the extended complex plane. PACS: 03.67.-a, 03.67.Lx, 03.67.Hk
Keywords:quantum computing  bloch sphere  qubit geometry  conformal mapping  stereographic projection
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