[spr-alex]

Beware the Ides of march: this is 1 of 2 cryptographic doom papers that was released this week. This google paper with Babbush, Gidney, Boneh is authoritative. And we also have another with Preskill and Hsin-Yuan Huang (widely cited for classical shadows among other quantum work) among others: https://arxiv.org/pdf/2603.28627

"Here, by leveraging advances in high-rate quantum error-correcting codes, efficient logical instruction sets, and circuit design, we show that Shor’s algorithm can be executed at cryptographically relevant scales with as few as 10,000 reconfigurable atomic qubits. "

That's physical, not logical qubits.