Hannover 2010 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 4: Quantum Information: Concepts and Methods I
Q 4.8: Talk
Monday, March 8, 2010, 15:45–16:00, E 214
Asymptotic dynamics of quantum systems under random unitary evolution — •Jaroslav Novotny1,2, Gernot Alber1, and Igor Jex2 — 1TU Darmstadt, Germany — 2CTU in Prague, Czech Republic
We investigate the asymptotic dynamics of quantum systems resulting from large numbers of iterations of randomly applied unitary quantum operations. Despite the fact that in general the evolution superoperator of such random unitary operations cannot be diagonalized it is shown that the resulting iterated asymptotic dynamics is described by a diagonalizable superoperator. As a consequence it turns out that typically the resulting iterated asymptotic dynamics is governed by a low dimensional attractor space which is determined completely by the unitary transformations involved and which is independent of the probability distributions with which these unitary transformations are selected.
Based on this general approach analytical results are presented for the asymptotic dynamics of large qubit networks whose nodes are coupled by randomly applied controlled rotations.