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Quantum states with a positive partial transpose are useful for metrology
Géza Tóth, Tamás Vértesi
We show that multipartite quantum states that have a positive partial transpose with respect to all bipartitions of the particles can outperform separable states in linear interfer…
Multiparticle entanglement criteria for nonsymmetric collective variances
Oliver Marty, Marcus Cramer, Giuseppe Vitagliano +2
We introduce a general scheme to detect various multiparticle entanglement structures from global non-permutationally invariant observables. In particular, we derive bounds on the…
Entanglement between two spatially separated atomic modes
Karsten Lange, Jan Peise, Bernd Lücke +6
Modern quantum technologies in the fields of quantum computing, quantum simulation and quantum metrology require the creation and control of large ensembles of entangled particles.…
An algorithm to find maximum area polygons circumscribed about a convex polygon
Markus Ausserhofer, Susanna Dann, Zsolt Lángi +1
A convex polygon Q is circumscribed about a convex polygon P if every vertex of P lies on at least one side of Q. We present an algorithm for finding a maximum area convex polygon…
Many Touchings Force Many Crossings
Janos Pach, Geza Toth
Given continuous open curves in the plane, we say that a pair is touching if they have only one interior point in common and at this point the first curve does not get from one…
Disjointness graphs of segments
Janos Pach, Gabor Tardos, Geza Toth
The {\em disjointness graph} of a set of segments in , is a graph whose vertex set is and two vertices are connected by an edge…