No post-quantum roadmap, research programme, protocol proposal or testnet implementation was found at the time of writing. source
1 Signature scheme 0/10, weighted 30%
Band 0: Classical signatures only on mainnet, with nothing post-quantum protecting live funds. Short-lived devnets and one-off benchmarks sit here: they demonstrate research rather than something a user can hold keys on.
User transactions on HyperCore and HyperEVM are authenticated with ECDSA on secp256k1 via EIP-712 typed-data signing. Nothing post-quantum protects funds on the protocol. source