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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…
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…
Time Evolution of Quantum Fractals
Daniel Wojcik, Iwo Bialynicki-Birula, Karol Zyczkowski
We propose a general construction of wave functions of arbitrary prescribed fractal dimension, for a wide class of quantum problems, including the infinite potential well, harmonic…