Quantum Information Processing

, Volume 1, Issue 1–2, pp 129–134 | Cite as

Qubit Geometry and Conformal Mapping

  • Jae-weon LeeEmail author
  • Chang Ho Kim
  • Eok Kyun Lee
  • Jaewan Kim
  • Soonchil Lee


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

quantum computing bloch sphere qubit geometry conformal mapping stereographic projection 


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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Jae-weon Lee
    • 1
    Email author
  • Chang Ho Kim
    • 1
  • Eok Kyun Lee
    • 1
  • Jaewan Kim
    • 2
  • Soonchil Lee
    • 2
  1. 1.Department of Chemistry, School of Molecular Science (BK 21)Korea Advanced Institute of Science and TechnologyTaejonKorea
  2. 2.Department of PhysicsKorea Advanced Institute of Science and TechnologyTaejonKorea

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