1.4k citations · 11.5k across the 204 of their papers we have counts for
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Majorization entropic uncertainty relations for quantum operations
Alexey E. Rastegin, Karol Życzkowski
Majorization uncertainty relations are derived for arbitrary quantum operations acting on a finite-dimensional space. The basic idea is to consider submatrices of block matrices co…
Certainty relations, mutual entanglement and non-displacable manifolds
Zbigniew Puchała, Łukasz Rudnicki, Krzysztof Chabuda +2
We derive explicit bounds for the average entropy characterizing measurements of a pure quantum state of size in orthogonal bases. Lower bounds lead to novel entropic uncer…
Distinguishability of generic quantum states
Zbigniew Puchała, Łukasz Pawela, Karol Życzkowski
Properties of random mixed states of order distributed uniformly with respect to the Hilbert-Schmidt measure are investigated. We show that for large , due to the concentrat…
Absolutely Maximally Entangled states, combinatorial designs and multi-unitary matrices
Dardo Goyeneche, Daniel Alsina, José I. Latorre +2
Absolutely Maximally Entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible partitions. AME states are known to play…
Time reversals of irreversible quantum maps
Erik Aurell, Jakub Zakrzewski, Karol Życzkowski
We introduce the notion of time reversal in open quantum systems as represented by linear quantum operations, and a related generalization of classical entropy production in the en…
Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states
Marco Enriquez, Zbigniew Puchała, Karol Życzkowski
We study the entanglement of a pure state of a composite quantum system consisting of several subsystems with levels each. It can be described by the Rényi-Ingarden-Urbanik ent…