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Negativity of the Wigner function as an indicator of nonclassicality
Anatole Kenfack, Karol Zyczkowski
A measure of nonclassicality of quantum states based on the volume of the negative part of the Wigner function is proposed. We analyze this quantity for Fock states, squeezed displ…
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…
Statistical properties of random density matrices
Hans-Juergen Sommers, Karol Zyczkowski
Statistical properties of ensembles of random density matrices are investigated. We compute traces and von Neumann entropies averaged over ensembles of random density matrices dist…
Experimental simulation of quantum graphs by microwave networks
Oleh Hul, Szymon Bauch, Prot Pakonski +3
We present the results of experimental and theoretical study of irregular, tetrahedral microwave networks consisting of coaxial cables (annular waveguides) connected by T-joints. T…
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…