So far what I have learned is that von-Neumann entropy is a tool to measure or quantify information and therefore entanglement for a given pure state system. However, similar concepts emerge from the task of measuring entanglement in general, which would be entanglement cost and distillable entanglement. My question is what are the similarities and divergences of these concepts with von-Neumann entropy?
The reference from which I spotted this question is from this article.