Traffic and records are copied today.
An adversary does not need to read them yet. Storage is cheap and patience is free. Encrypted backups, VPN sessions and signed archives are all worth keeping.
Years pass.
Medical files, contracts, state records and audit trails stay sensitive for decades, far longer than most migration plans assume.
A CRQC arrives.
Shor's algorithm recovers RSA and elliptic-curve private keys. Everything sealed only with them opens, and their signatures can be forged after the fact.
Lattice-based records stay sealed.
Receipts carrying an ML-DSA-65 leg, and secrets wrapped with ML-KEM-768, rest on module-lattice problems a quantum computer is not known to solve efficiently.
The same attack, packet by packet: traffic is copied into storage today; years later a quantum computer opens what was sealed only with RSA or elliptic curves. Packets sealed with the hybrid post-quantum suite stay closed.