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Optimal witnessing of the quantum Fisher information with few measurements
Iagoba Apellaniz, Matthias Kleinmann, Otfried Gühne +1
We show how to verify the metrological usefulness of quantum states based on the expectation values of an arbitrarily chosen set of observables. In particular, we estimate the quan…
Improvements on the density of maximal 1-planar graphs
János Barát, Géza Tóth
A graph is 1-planar if it can be drawn in the plane such that each edge is crossed at most once. A graph, together with a 1-planar drawing is called 1-plane. Brandenburg et al. sho…
Separation with restricted families of sets
Zsolt Lángi, Márton Naszódi, János Pach +2
Given a finite -element set , a family of subsets is said to separate if any two elements of are separated by at least one member of $\mathc…
Partial transpose as a direct link between concurrence and negativity
Christopher Eltschka, Geza Toth, Jens Siewert
Detection of entanglement in bipartite states is a fundamental task in quantum information. The first method to verify entanglement in mixed states was the partial-transpose criter…