31 citations · 37 across the 3 of their papers we have counts for
7 papers
Voting in the European Union: The square root system of Penrose and a critical point
Karol Zyczkowski, Wojciech Slomczynski
The notion of the voting power is illustrated by examples of the systems of voting in the European Council according to the Treaty of Nice and the more recent proposition of the Eu…
On duality between quantum maps and quantum states
Karol Zyczkowski, Ingemar Bengtsson
We investigate the space of quantum operations, as well as the larger space of maps which are positive, but not completely positive. A constructive criterion for decomposability is…
Euroattractor: a brief introduction to Iterated Function Systems
Karol Zyczkowski, Artur Lozinski
In this work we propose a definition of an Euroattractor: an attracting invariant measure of a certain iterated functions system (IFS). An IFS is defined by specifying a set of fun…
Manifolds of interconvertible pure states
Magdalena M. Sinolecka, Karol Zyczkowski, Marek Kus
Local orbits of a pure state of an N x N bi-partite quantum system are analyzed. We compute their dimensions which depends on the degeneracy of the vector of coefficients arising b…
Families of line-graphs and their quantization
Prot Pakonski, Gregor Tanner, Karol Zyczkowski
Any directed graph G with N vertices and J edges has an associated line-graph L(G) where the J edges form the vertices of L(G). We show that the non-zero eigenvalues of the adjacen…
On the entropy devil's staircase in a family of gap-tent maps
Karol Zyczkowski, Erik M. Bollt
We analyze dynamical properties of a "gap-tent map" - a family of 1D maps with a symmetric gap, which mimics the presence of noise in physical realizations of chaotic systems. We d…