Hannover 2003 – wissenschaftliches Programm
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Q: Quantenoptik
Q 28: Poster: Quanteninformation
Q 28.7: Poster
Dienstag, 25. März 2003, 16:30–18:30, Lichthof
Dynamics of Nonlinear Maps for Quantum Information Processing — •Gernot Alber1, Igor Jex2, and Tamas Kiss3 — 1Institut für Angewandte Physik, Technische Universität Darmstadt, D-64289 Darmstadt — 2Department of Physics, FJFI ČVUT, Břehová 7, CZ-115 19 Praha 1, Czech Republic — 3University of St. Andrews, St. Andrews, Scotland
In various processes of quantum information processing,
such as purification /1,2/ and state discrimination /2,3/,
special types of nonlinear quantum maps are required.
These maps (transformations) are obtained by combining a
conditional-not operation, local unitary operations and
projections onto specific states of the subsystems formed by
two or more particles. We investigate the mathematical properties
of these transformations for two two-state systems with respect
to the appearance of chaos. We discuss possible routes to chaos
and show for certain
regimes that intermittency of type II is a possible scenario.
On the basis of analytical as well as
numerical results the consequences
of these dynamical aspects are discussed with particular
emphasis on purification protocols
for highly entangled states.
/1/ D. Deutsch, A. Ekert, R. Josza, Ch. Machiavello, S. Popescu,
and A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996).
/2/ H. Bechmann-Pasquinucci, B. Huttner, and N. Gisin,
Phys. Lett. A 242, 198 (1998).
/3/ A. Chefles, Contemp. Physics 41, 401 (2000).