Their circuit needs 1,151 logical qubits, the quantum equivalent of working memory, and about 1.3 million Toffoli gates, a unit that roughly tracks the volume of computation required.
Logical Qubits, Toffoli Gates and Why the Units Matter Two terms carry the weight of this story, and they measure different things.
Current machines are nowhere near 1,151 stable logical qubits, let alone the additional qubits needed for the rest of the discrete-logarithm circuit beyond point addition alone.
Neutral Atoms Resource-estimate papers tend to assume a specific hardware architecture, because the overhead of turning noisy physical qubits into stable logical qubits varies enormously between approaches.
No existing quantum computer has anywhere close to the 1,151 stable logical qubits the point-addition step alone would require, let alone the additional qubits needed for a complete attack.