NIST completed the first round of its standardisation process and published three final standards in August 2024. Unlike most of this subject, these are settled, implementable and shipping in mainstream libraries.
FIPS 203 — ML-KEM, a lattice-based key-encapsulation mechanism derived from CRYSTALS-Kyber, for establishing shared keys. This is the one that matters for the harvest-now problem, because it protects the confidentiality of traffic.
FIPS 204 — ML-DSA, a lattice-based digital signature scheme derived from CRYSTALS-Dilithium, and the general-purpose signature standard.
FIPS 205 — SLH-DSA, a stateless hash-based signature scheme derived from SPHINCS+. Larger and slower, and valuable precisely because its security rests on different mathematical assumptions — a hedge in case the lattice family is weakened.
NIST's draft transition guidance deprecates the algorithms offering roughly 112 bits of classical security — RSA-2048 among them — around 2030, and disallows all quantum-vulnerable public-key algorithms, including ECC P-256, by 2035. Further schemes are following the first three standards. Government deadlines in various jurisdictions sit inside that window. For a large estate, a migration of this kind runs two to five years, which is what makes 2030 a near date rather than a distant one.