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Qubit Geometry and Conformal Mapping

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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

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REFERENCES

  1. For a review see, for example, M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge Press, Cambridge, 2000), D. Eckert and A. Zeilinger, eds., The Physics of Quantum Information (Springer Verlag, Berlin, 2000).

    Google Scholar 

  2. P. Benio., J. Stat. Phys. 22, 563 (1980).

    Google Scholar 

  3. W. Rindler and R. Penrose, Spinors and Space-Time Vol.1 (Cambridge Monographs on Math Physics) (Cambridge University Press, 1986)

  4. H. Urbantke, Am. J. Phys. 59, 503 (1991).

    Google Scholar 

  5. R. Mosser and R. Dandolo., quant-ph/0108137.

  6. F. Frescura and B. Hiley, Am. J. Phys. 49, 152 (1981); T. Havel and C. Doran, quant-ph/ 0004031.

    Google Scholar 

  7. See, for example, M. A. Porter, The Hopf fibration and its applications, found at http://www.cam.cornell.edu/ mason/research

  8. B. Hatfield, Quantum Field Theory of Point Particles and Strings (Addison-Wesley Publishing Company, 1992).

  9. R. P. Feynman, Frank L. Vernon, and Robert W. Hellwarth, J. Applied Physics 65 (1957).

  10. P. Ginsparg, "Applied confomal field theories" in LES HOUCHES Lectures, by E. Br ezin and J. Zinn-Justin, eds. (1988)

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Authors and Affiliations

  1. Department of Chemistry, School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea

    Jae-weon Lee, Chang Ho Kim & Eok Kyun Lee

  2. Department of Physics, Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea

    Jaewan Kim & Soonchil Lee

Authors
  1. Jae-weon Lee
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  2. Chang Ho Kim
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  3. Eok Kyun Lee
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  4. Jaewan Kim
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  5. Soonchil Lee
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Correspondence to Jae-weon Lee.

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Lee, Jw., Kim, C.H., Lee, E.K. et al. Qubit Geometry and Conformal Mapping. Quantum Information Processing 1, 129–134 (2002). https://doi.org/10.1023/A:1019645000745

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  • DOI: https://doi.org/10.1023/A:1019645000745

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