Add input data check for Sampler

[t-imamichi]

Summary

Add a validation check of circuits for Sampler. It raises an error if there is no classical bits in the input circuits.

I added the same test to Terra Qiskit/qiskit#8678 Qiskit/qiskit#8708
So, if we use the base class of primitives of Terra, we can remove these checks in qiskit-ibm-runtime.

Details and comments

[coveralls]

Pull Request Test Coverage Report for Build 2977882163

• -7 of 11 (36.36%) changed or added relevant lines in 1 file are covered.
• No unchanged relevant lines lost coverage.
• Overall coverage decreased (-2.6%) to 61.736%

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Changes Missing Coverage	Covered Lines	Changed/Added Lines	%
qiskit_ibm_runtime/sampler.py	4	11	36.36%

Totals
Change from base Build 2972568577:	-2.6%
Covered Lines:	3051
Relevant Lines:	4942

---

💛 - Coveralls

[coveralls]

Pull Request Test Coverage Report for Build 3091977741

• 2 of 3 (66.67%) changed or added relevant lines in 1 file are covered.
• No unchanged relevant lines lost coverage.
• Overall coverage decreased (-2.5%) to 61.74%

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Changes Missing Coverage	Covered Lines	Changed/Added Lines	%
qiskit_ibm_runtime/qiskit/primitives/base_sampler.py	2	3	66.67%

Totals
Change from base Build 3085891949:	-2.5%
Covered Lines:	3137
Relevant Lines:	5081

---

💛 - Coveralls

[Cryoris]

Two small comments, otherwise LGTM!

[Cryoris]

LGTM! For the Terra primitives we can essentially apply the same update, right?

[t-imamichi]

Yeah, I will port this change to Terra next week.

[t-imamichi]

I updated this PR and made the same checks to terra Qiskit/qiskit#8678.

[t-imamichi]

I removed the validation check whether there is any classical bits not measured.
See Qiskit/qiskit#8708 for details.

[t-imamichi]

Note that this check exists in Terra main branch's BaseSampler. So, if we plan to replace BaseSampler with Terra's, we don't need this PR.

[jyu00]

Note that this check exists in Terra main branch's BaseSampler. So, if we plan to replace BaseSampler with Terra's, we don't need this PR.

We will use terra's BaseSampler eventually... but we need to terra to release first, or the two need to be released together (which is harder to coordinate...)

[t-imamichi]

Yes, it's hard to sync with primitives in terra because it has been actively updated. Maybe copying a snapshot sometimes is a compromise.