I'm an Msc student working on a quantum information project (VQEs on 4 qubits).
Our group is looking at different IBM simulators on the IBM platform, and have noticed that performance is different for simulators such as
aer_simulator_matrix_product_state even without any noise or error modeling.
For example we generated this graph :
Clearly the simulators perform orders of magnitudes differently, but we have no idea why as they should all be ideal simulators for a small qubit system. The descriptions on the IBMQ website don't detail how this is possible.
Is there anywhere we can read about the implementation of these different simulators in detail ?
Any input whatsoever is appreciated, and thanks for reading !