Use BaseSamplerV1 with explicit version (#653) (#654)

This change is motivated by the following warning:

> DeprecationWarning: The class ``qiskit.primitives.base.base_sampler.BaseSampler``
> is deprecated as of qiskit 1.2. It will be removed no earlier
> than 3 months after the release date. The `BaseSampler` class is
> a type alias for the `BaseSamplerV1` interface that has been
> deprecated in favor of explicitly versioned interface classes.
> It is recommended to migrate all implementations to use
> `BaseSamplerV2`. However, for implementations incompatible with
> `BaseSamplerV2`, `BaseSampler` can be replaced with the explicitly
> versioned `BaseSamplerV1` class.

Related to #551 and #506.

(cherry picked from commit a9bfc91)

Co-authored-by: Jim Garrison <[email protected]>

circuit_knitting/utils/simulation.py

@@ -29,7 +29,7 @@
 import numpy as np
 from qiskit.circuit import QuantumCircuit
 from qiskit.quantum_info import Statevector, Operator
-from qiskit.primitives.base import BaseSampler, SamplerResult
+from qiskit.primitives.base import BaseSamplerV1, SamplerResult
 from qiskit.primitives.primitive_job import PrimitiveJob
 from qiskit.result import QuasiDistribution
 
@@ -128,7 +128,7 @@ def simulate_statevector_outcomes(qc: QuantumCircuit, /) -> dict[int, float]:
     return {outcome: sum(prob for prob, _ in svs) for outcome, svs in current.items()}
 
 
-class ExactSampler(BaseSampler):
+class ExactSampler(BaseSamplerV1):
     """Sampler which returns exact probabilities for each possible outcome.
 
     This sampler supports: