Incorporate qiskit primitives into magic rounding

[garrison]

What is the expected enhancement?

Once we have migrated to qiskit-ibm-provider (#15), the next step is to adopt and move toward the qiskit primitives. We use the VQE implementation from Terra, so the only thing to migrate in QRAO itself is the magic rounding scheme (and for that we will use the Sampler primitive).

We will probably begin by parameterizing the various basis rotations, so that a single circuit can be sent to the primitives, along with various parameter sets.

[garrison]

Related PR in qiskit-optimization for the MinimumEigenOptimizer: https://github.com/Qiskit/qiskit-optimization/pull/436

[t-imamichi]

I see this issue from https://github.com/Qiskit/qiskit-optimization/pull/436. The PR is about to be merged. So, could you take a look at it so that it won't break qrao?

[garrison]

could you take a look at it so that it won't break qrao?

Thanks for asking. I made the following change to QRAO and ran tox -elint,py3,docs -r. All tests passed, so it looks like merging that PR will not break qrao.

diff --git a/requirements.txt b/requirements.txt
index 4b7dd02..2689ab9 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -3,6 +3,6 @@ importlib_metadata>=4.8.1,!=5.0.0
 qiskit-terra>=0.21.0
 qiskit-aer>=0.11.0
 qiskit-ibm-provider>=0.1.0
-qiskit-optimization>=0.4.0
+qiskit-optimization @ git+ssh://git@github.com/t-imamichi/qiskit-optimization.git@update-meo2
 rustworkx>=0.12.0
 matplotlib>=3.0.1

[t-imamichi]

Thank you for testing the PR. I will merge the PR soon.