Generic Incomparability of Infinite-Dimensional Entangled States
  In support of a recent conjecture by Nielsen (1999), we prove that the phenomena of 'incomparable entanglement'--whereby, neither member of a pair of pure entangled states can be transformed into the other via local operations and classical communication (LOCC)--is a generic feature when the states at issue live in an infinite-dimensional Hilbert space. 
Rob Clifton, Brian Hepburn, Christian Wuthrich (University of   Pittsburgh)