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Add simulation-based integration test for the efficacy of error mitigation techniques #3210

Description

@TsafrirA

What is the expected enhancement?
We want to add simulation-based test that will verify the efficacy of various error mitigation techniques. We want to demonstrate that given a noisy simulation, the estimate improves as the error mitigation is applied. Tests should cover different observables and parameters, and cover the following cases:

Acceptance criteria
Tests are added.

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