I don't think there is any Bank yet which accepts Bitcoins as a currency.
Furthermore i think.. noone would deposit bitcoins there.

I don't have any knowledge too that there's a bank that is using bitcoin for their service like bank deposit or even loans. I also doubt that there would be people that are going to allow the banks to store their bitcoins. There are a lot of ways to store our bitcoins because a lot of trusted wallets are there for us to be our very own bank.
i think most of the people do not have any idea about that and same is the case here as i also do not know about that that either any bank is accepting bitcoin or not.my personal view is that still there is not a single bank who are accepting bitcoin. but i am pretty sure that in future hope that banks will start accepting bitcoin.