Here is BIP360, the leading proposal for switching the bitcoin network over to quantum-resistant code, authored primarily by Hunter Beast.

Here’s his interview on the matter at Concensus 2025 this past May
Here’s his interview with Shinobi of Bitcoin Mag on the matter, also from May

He notes that the US DoD wants all of their systems to be quantum-resistant by 2030, and 2035 to be the latest possible date that having any pre-quantum systems will be considered acceptable. To paraphrase his thinking on the matter: We know that the DoD is pouring lots of money into quantum research, and if they’ve already identified solid deadlines in the not-too-far-future then it’s probably worth assuming that they know something about the technology’s timeline that we don’t.