What are the differences between ECDSA and non-ECDSA?

Can anyone explain in simple terms what are the differences between a non quantum resistent encryption (ECDSA) and a quantum resistent encryptionn (XXMS or non-ECDSA)?

I find this subject really interesting and I might consider to invest more into quantum resistent coins like QRL, because Google had launch like a month ago Willow chip, which I think is a message for the future which suggests that most non quantum resistent cryptos will lose because of the lack of resistence against quantum computers. Of course, I know that quantum computers are not right now a threat, but as technology advances, it won't be the case anymore, so to get more in common with this subject won't be that bad.