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Random matrix approach to `nonuniversal' conductance
Petr Seba, Karol Zyczkowski, Jakub Zakrzewski
Recent experiments on the conductance of high quality quantum wires have revealed an unexpected feature: the quantization step of the conductance is apparently system dependent. We…
Monge Distance between Quantum States
Karol Zyczkowski, Wojciech Slomczynski
We define a metric in the space of quantum states taking the Monge distance between corresponding Husimi distributions (Q--functions). This quantity fulfills the axioms of a metric…
Mean dynamical entropy of quantum system tends to infinity in the semiclassical limit
Wojciech Slomczynski, Karol Zyczkowski
We show that the mean dynamical entropy of a quantum map on the sphere is positive and tends logarithmically to infinity in the semiclassical limit. A link between chaotic dynamics…
Composed ensembles of random unitary matrices
Marcin Pozniak, Karol Zyczkowski, Marek Kus
Composed ensembles of random unitary matrices are defined via products of matrices, each pertaining to a given canonical circular ensemble of Dyson. We investigate statistical prop…