What is the difference between ideal and noisy simulation?

Ideal simulation ignores physical noise, while noisy simulation removes it, so its results match a perfect device exactly

Ideal simulation ignores physical noise, while noisy simulation models errors such as gate noise or measurement noise

Ideal simulation ignores physical noise, while noisy simulation runs the circuit on real hardware and reports its raw counts

Ideal simulation ignores physical noise, while noisy simulation adds random numbers to the final counts after the run