Paper money won't exist in the future. But it will not happen in the next two or three decades. It will take time for the governments to adopt a digital currency. There will be issues regarding single person holding multiple anonymous wallets, wallet security etc.,
We have coins now, although paper money is far more convenient.
Coins haven't really been wiped out and exist side by side with paper money.
So to think about paper money not existing in the future is a bit extreme.
Paper money will exist but people won't use it as heavily as nowdays. Today many of my friends select shops or merchants based on the information if they're accepting contactless bank cards or not. People started to carry less and less cash and withdrawal from ATM became expensive, so why not to pay with card if it's possible, easy and quick (PayPass)
Today you can choose if you want to carry coins or paper money if you don't want to use bank card. If you want to do the weekend shopping, you can choose to carry coins (that amount will be heavy enough
) or paper money or bank card (or voucher, loyality cards, etc) but less and less people pays with cash.
The important thing is the ability to choose how we can carry our money with us, and in the future less and less people will choose physical money instead of digital