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Add reference implementation of EstimatorV2 (#11227)

* Add EstimatorV2

* Update qiskit/primitives/base/base_estimator.py

* Use PositiveInt for shots

* improve type hint

* Update qiskit/primitives/containers/data_bin.py

Co-authored-by: Takashi Imamichi <31178928+t-imamichi@users.noreply.github.com>

* remove _run and make run abstractmethod

* Apply suggestions from code review

Co-authored-by: Ian Hincks <ian.hincks@gmail.com>
Co-authored-by: Christopher J. Wood <cjwood@us.ibm.com>

* fix from review comments

* move test/python/primitives/containers

* Apply suggestions from code review

Co-authored-by: Takashi Imamichi <31178928+t-imamichi@users.noreply.github.com>

* update docs

* rename task to pubs

* Pubs -> Pub

* make pydantic optional

* Apply suggestions from code review

Co-authored-by: Ian Hincks <ian.hincks@gmail.com>

* Apply suggestions from code review

Co-authored-by: Ian Hincks <ian.hincks@gmail.com>

* fix lint

* type hint

* fix type hint for python 3.8

* improve BindingsArray

* fix docs warning

* Remove `slots=True` in dataclass usage.

This argument was introduced in Python 3.10, so we cannot use it yet.
We don't expect that this has any performance impacts, it is just being
used here to make it more difficult to mutate.

* update from review comments

* Update qiskit/primitives/containers/estimator_pub.py

Co-authored-by: Christopher J. Wood <cjwood@us.ibm.com>

* Update qiskit/primitives/base/base_estimator.py

Co-authored-by: Ian Hincks <ian.hincks@gmail.com>

* Apply suggestions from code review

Co-authored-by: Takashi Imamichi <31178928+t-imamichi@users.noreply.github.com>

* lint

* Add BaseEstimatorV2 class

Taken from 11227, but modified to
- remove options from BaseEstimatorV2
- add precision attribute to BaseEstimatorV2 and EstimatorPub
- remove BasePrimitiveV2 and BasePub

Co-Authored-By: Ikko Hamamura <ikkoham@users.noreply.github.com>
Co-Authored-By: Ian Hincks <2229105+ihincks@users.noreply.github.com>

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59647 of 66645 relevant lines covered (89.5%)

214884.36 hits per line

Source Files on job 7715363095.1