159 citations · 750 across the 37 of their papers we have counts for
5 papers · 1 filter
Constructive entanglement test from triangle inequality
Łukasz Rudnicki, Zbigniew Puchała, Paweł Horodecki +1
We derive a simple lower bound on the geometric measure of entanglement for mixed quantum states in the case of a general multipartite system. The main ingredient of the presented…
Reliable Entanglement Detection Under Coarse--Grained Measurements
D. S. Tasca, Łukasz Rudnicki, R. M. Gomes +2
We derive reliable entanglement witnesses for coarse--grained measurements on continuous variable systems. These witnesses never return a "false positive" for identification of ent…
Entropic trade-off relations for quantum operations
Wojciech Roga, Zbigniew Puchała, Łukasz Rudnicki +1
Spectral properties of an arbitrary matrix can be characterized by the entropy of its rescaled singular values. Any quantum operation can be described by the associated dynamical m…
Optimal Uncertainty Relations for Extremely Coarse-grained Measurements
Łukasz Rudnicki, Stephen P. Walborn, Fabricio Toscano
We derive two quantum uncertainty relations for position and momentum coarse-grained measurements. Building on previous results, we first improve the lower bound for uncertainty re…
The Shannon-entropy-based uncertainty relation for -dimensional central potentials
Łukasz Rudnicki, Pablo Sánchez-Moreno, Jesús S. Dehesa
The uncertainty relation based on the Shannon entropies of the probability densities in position and momentum spaces is improved for quantum systems in arbitrary -dimensional sp…