I've been running VQE experiments locally using both the
qasm_simulator, however I've noticed that the runtimes for the
qasm_simulator are significantly longer than that of
statevector_simulator. According to this answer the
statevector_simulator produces ideal/deterministic results, whereas
qasm_simulator produces non-ideal/probabilistic results. However I don't see why the simulation times should differ significantly($>\times 100$) if the number of
shots=1 for the
qasm_simulator even if a
measurement_error_mitigation_cls=CompleteMeasFitter is used.
Is this in fact expected and how is it explained?