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Quantum version of the Euler's problem: a geometric perspective
Karol Zyczkowski
The classical combinatorial problem of officers has no solution, as there are no Graeco-Latin squares of order six. The situation changes if one works in a quantum setup and a…
Operation fidelity explored by numerical range of Kraus operators
Igor Chełstowski, Grzegorz Rajchel-Mieldzioć, Karol Życzkowski
Present-day quantum devices require precise implementation of desired quantum channels. To characterize the quality of implementation one uses the average operation fidelity , d…
Bogdan Mielnik, geometry and quanta
Ingemar Bengtsson, Karol Zyczkowski
We review selected achievements of the late Bogdan Mielnik in the field of theoretical physics, with an emphasis on his attempts to go beyond quantum mechanics. Some of his origina…
Geometric structure of thermal cones
A. de Oliveira Junior, Jakub Czartowski, Karol Życzkowski +1
The second law of thermodynamics imposes a fundamental asymmetry in the flow of events. The so-called thermodynamic arrow of time introduces an ordering that divides the system's s…
Quantum transfer of interacting qubits
Tony J. G. Apollaro, Salvatore Lorenzo, Francesco Plastina +2
The transfer of quantum information between different locations is key to many quantum information processing tasks. Whereas, the transfer of a single qubit state has been extensiv…
Three favorite dimensions of Andrzej Kossakowski: along his path to a scientific discovery
Karol Zyczkowski
Some achievements of the late Andrzej Kossakowski in the field of statistical physics and quantum theory are presented. We recall his attempt to find an analytical solution of the…