[jvdongen]

For one thing, AFAIK, Alice can be sure that Bob's 'pad' is the only copy in existence because no one can copy Bob's 'pad' without destroying the entanglement.

For a 'regular' one time pad this is not the case. Someone could have copied it and both Alice and Bob would be none the wiser until it's too late.

One-time pad based encryption schemes are theoretically unbreakable - one of the things (the thing?) holding back wide spread adoption is the difficulty of proper key management. This has the potential to solve that issue.