Add qutip integration example or API

[nathanshammah]

Issue Description

Since QuTiP's qutip.QubitCircuit class is now connected to OpenQASM's standard import and export format (PR 1318 and 1291 that will be included in QuTiP's 4.5.3+ version release), it may be nice to add some integration with it on mitiq's side.

Proposed Solution

1. At very simple level, an executor's example could be added to the documentation
2. At more complex level, an API function could be added to simplify integration between the libraries, e.g. in a mitiq_qutip module
3. Notwithstanding whether it would require adding code to the code base, it may be nice to explore qutip's noise simulation features against zero noise extrapolation:
   • different noise mechanisms
   • the possibility to include continuous-time evolution of a quantum state as it evolves in a quantum circuit as well as pulse-level control.

Additional References

• GSoC 2020 blog by Sidhant, https://sarsid.wordpress.com/tag/gsoc2020/
• QASM notebook https://github.com/qutip/qutip-notebooks/pull/111

[Aaron-Robertson]

@nathanshammah Is this issue still under discussion? I'm reading through some of the QuTiP QIP docs but it looks like I could follow the mitiq_qiskit/ example and start on a mitiq_qutip/ folder, testing, and docs here.

[nathanshammah]

Hi @Aaron-Robertson, thanks it is. I do have some code already on a private repository. I think this may require some discussion first.

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