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Note on k-planar crossing numbers
János Pach, László A. Székely, Csaba D. Tóth +1
The crossing number of a graph is the smallest number of edge crossings over all drawings of in the plane. For any , the -planar crossing number of…
Optimized parameter estimation in the presence of collective phase noise
Sanah Altenburg, Sabine Wölk, Geza Toth +1
We investigate phase and frequency estimation with different measurement strategies under the effect of collective phase noise. First, we consider the standard linear estimation sc…
Entanglement and extreme spin squeezing of unpolarized states
Giuseppe Vitagliano, Iagoba Apellaniz, Matthias Kleinmann +3
We present criteria to detect the depth of entanglement in macroscopic ensembles of spin-j particles using the variance and second moments of the collective spin components. The cl…