Hedera publishes a phased post-quantum migration roadmap moving from Ed25519 and ECDSA to NIST-standardised algorithms. 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.
Hedera accounts and transactions are signed with Ed25519 or ECDSA on secp256k1 today. Both are broken by Shor's algorithm, and no post-quantum signature protects live HBAR. source