No post-quantum roadmap, named scheme or research programme was found from Avalanche or Ava Labs 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.
Avalanche uses ECDSA on secp256k1 across its primary network chains. Nothing post-quantum protects AVAX or assets on Avalanche today. source