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Time optimal factorizations on compact Lie groups†

  1. G. Dirr,
  2. U. Helmke,
  3. M. Kleinsteuber

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410313

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PAMM

PAMM

Volume 4, Issue 1, pages 664–665, December 2004

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How to Cite

Dirr, G., Helmke, U. and Kleinsteuber, M. (2004), Time optimal factorizations on compact Lie groups. Proc. Appl. Math. Mech., 4: 664–665. doi: 10.1002/pamm.200410313

Author Information

  1. University of Würzburg, Department of Mathematics, 97074 Würzburg, Germany

  1. †

    This work was partially supported by the DAAD-Project: PPP Hong Kong, D/0122045

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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References

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    V. Jurdjevic, Geometric Control Theory, Cambridge University Press, Cambridge, 1997.
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    A. W. Knapp, Lie Groups Beyond an Introduction, Birkhäuser, Boston 1996.
  • [3]
    S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, 1978.
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    N. Khaneja, R. Brockett and S. Glaser, Time optimal control in spin systems, Phys. Review A, Vol. 63 (2001).
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    N. Khaneja and S. Glaser, Cartan decomposition of SU(2n) and control of spin systems, Chem. Phys., Vol. 267 (2001).
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    K. Hammerer, G. Vidal and J. I. Cirac, Characterization of non-local gates, arXiv:quant-ph/0205100 v3, (2002).
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    H. Haselgrove, M. Nielsen and T. Osborne, On the practicality of time-optimal two-qubit Hamiltonian simulation, arXiv:quant-ph/0303070 v1, (2003).
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    G. Dirr, U. Helmke, M. Kleinsteuber, K. Hüper and Y. Liu, Time optimal control for coupled spin systems, to appear.
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