Qubit Geometry and Conformal Mapping

  • Authors:

  • Jae-Weon Lee;Chang Ho Kim;Eok Kyun Lee;Jaewan Kim;Soonchil Lee

  • Affiliations:

  • Department of Chemistry, School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea. E-mail: leejw@cola.kaist.ac.kr;Department of Chemistry, School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea;Department of Chemistry, School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea;Department of Physics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea;Department of Physics, Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2002

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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