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Induced measures in the space of mixed quantum states
Karol Zyczkowski, Hans-Juergen Sommers
We analyze several product measures in the space of mixed quantum states. In particular we study measures induced by the operation of partial tracing. The natural, rotationally inv…
Classical 1D maps, quantum graphs and ensembles of unitary matrices
Prot Pakonski, Karol Zyczkowski, Marek Kus
We study a certain class of classical one dimensional piecewise linear maps. For these systems we introduce an infinite family of Markov partitions into equal cells. The symbolic d…
Dynamics of quantum entanglement
Karol Zyczkowski, Pawel Horodecki, Michal Horodecki +1
A model of discrete dynamics of entanglement of bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochasti…
Monge Metric on the Sphere and Geometry of Quantum States
Karol Zyczkowski, Wojciech Slomczynski
Topological and geometrical properties of the set of mixed quantum states in the N-dimensional Hilbert space are analysed. Assuming that the corresponding classical dynamics takes…
Geometry of entangled states
Marek Kus, Karol Zyczkowski
Geometric properties of the set of quantum entangled states are investigated. We propose an explicit method to compute the dimension of local orbits for any mixed state of the gene…
Level Dynamics and Universality of Spectral Fluctuations
Peter Braun, Sven Gnutzmann, Fritz Haake +2
The spectral fluctuations of quantum (or wave) systems with a chaotic classical (or ray) limit are mostly universal and faithful to random-matrix theory. Taking up ideas of Pechuka…