Quantum correlations of two-qubit states with one maximally mixed   marginal
  We investigate the entanglement, CHSH nonlocality, fully entangled fraction and symmetric extendibility of two-qubit states that have a single maximally mixed marginal. Within this set of states, the steering ellipsoid formalism has recently highlighted an interesting family of so-called 'maximally obese' states. These are found to have extremal quantum correlation properties that are significant in the steering ellipsoid picture and for the study of two-qubit states in general. 
Antony Milne, David Jennings, Sania Jevtic, Terry Rudolph
quant-ph