Probabilistic exact deletion and probabilistic no-signalling
  In this work we show that one cannot use non-local resources for probabilistic signalling even if one can delete a quantum state with the help of probabilistic quantum deletion machine. Here we find that probabilistic quantum deletion machine is not going to help us in identifying two statistical mixture at remote location. Also we derive the bound on deletion probability from no-signalling condition. 
Indranil Chakrabarty, Satyabrata Adhikari, B.S. Choudhury