Earlier quoted context omitted.
"better". There currently isn't a practical way to brute force factor a 4k rsa key with classical computing. doesn't shor's algorithm on a quantum computer make that feasible? that would be a big driver for quantum computing though maybe my understanding is off.
It is still open whether we can build quantum computers with sufficiently low noise to run Shor‘s algorithm.
This statement should delimit between theory and experiment.
Theoretically, the question of building a quantum computer with low enough noise to run Shor's has been solved. In fact it was solved by Shor himself in the 1990s: https://arxiv.org/abs/quant-ph/9605011.
Experimentally, we are just getting started with building quantum computers with low enough noise: https://blogs.microsoft.com/blog/2024/04/03/advancing-scienc....
Experimentally, it will always be open whether a quantum computer can run Shor's until it actually run Shor's. The point is that progress in the field has not stagnated since it's founding.