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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…
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…
Monotonicity of the quantum 2-Wasserstein distance
Rafał Bistroń, Michał Eckstein, Karol Życzkowski
We study a quantum analogue of the 2-Wasserstein distance as a measure of proximity on the set of density matrices of dimension . We show that such (semi-)distances do not…
Accessible maps in a group of classical or quantum channels
Koorosh Sadri, Fereshte Shahbeigi, Zbigniew Puchała +1
We study the problem of accessibility in a set of classical and quantum channels admitting a group structure. Group properties of the set of channels, and the structure of the clos…