I am not a Mathematician, but what I understood, it's basically an extension of ECC using multiple elliptic curves, allows to re-use the Diffie–Hellman key exchange protocol (private keys kept secret, public keys exchanged) and memory requirements are small. So it would be a perfect replacement in wallets and validation nodes. But I can not explain why it is safe against an attack using quantum computers.
A likely drop-in replacement for elliptic curve cryptography (ECC) currently used by Bitcoin could be
https://en.wikipedia.org/wiki/Supersingular_isogeny_key_exch...
I am not a Mathematician, but what I understood, it's basically an extension of ECC using multiple elliptic curves, allows to re-use the Diffie–Hellman key exchange protocol (private keys kept secret, public keys exchanged) and memory requirements are small. So it would be a perfect replacement in wallets and validation nodes. But I can not explain why it is safe against an attack using quantum computers.