If we talk about efficiency then sorry to disappoint you, but banks are more efficient than bitcoin by far, and let me explain you why:

From the source: https://www.quora.com/How-many-transactions-do-typical-banks-process-everyday

We see mastercard have 34000+ transactions/second and visa have 24000+, if we compare that wit bitcoin, we have blocks each 10 minutes with 2500 transactions/second aprox.  So bitcoin now days can't handle yet the high number of transactions we have with banks, That's why i say bitcoin cen't be more efficent than banks, but maybe that will change in the future.