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Discrete dynamics in the set of quantum measurements
Albert Rico, Karol Życzkowski
A quantum measurement, often referred to as positive operator-valued measurement (POVM), is a set of positive operators summing to identity, $\sum_jP_j=\mathbb{1}…
Iso-entangled bases and joint measurements
Flavio Del Santo, Jakub Czartowski, Karol Życzkowski +1
While entanglement between distant parties has been extensively studied, entangled measurements have received relatively little attention despite their significance in understandin…
Multi-Unitary Complex Hadamard Matrices
Wojciech Bruzda, Grzegorz Rajchel-Mieldzioć, Karol Życzkowski
We analyze the set of real and complex Hadamard matrices with additional symmetry constrains. In particular, we link the problem of existence of maximally entangled multipartite st…
Orthonormal bases of extreme quantumness
Marcin Rudziński, Adam Burchardt, Karol Życzkowski
Spin anticoherent states acquired recently a lot of attention as the most "quantum" states. Some coherent and anticoherent spin states are known as optimal quantum rotosensors. In…
Tristochastic operations and convolutions of quantum states
Rafał Bistroń, Wojciech Śmiałek, Karol Życzkowski
The notion of convolution of two probability vectors, corresponding to a coincidence experiment can be extended for a family of binary operations determined by (tri)stochastic tens…
Transmission distance in the space of quantum channels
Diego G. Bussandri, Pedro W. Lamberti, Karol Życzkowski
We analyze two ways to obtain distinguishability measures between quantum maps by employing the square root of the quantum Jensen-Shannon divergence, which forms a true distance in…