diff --git a/qiskit/primitives/backend_sampler_v2.py b/qiskit/primitives/backend_sampler_v2.py
index 73850a9b0ea4..ae981c8aa569 100644
--- a/qiskit/primitives/backend_sampler_v2.py
+++ b/qiskit/primitives/backend_sampler_v2.py
@@ -14,7 +14,6 @@
 
 from __future__ import annotations
 
-import math
 from dataclasses import dataclass
 from typing import Any, Dict, Iterable, List, Optional, Tuple, Union
 
@@ -24,11 +23,11 @@
 
 from qiskit.circuit.quantumcircuit import QuantumCircuit
 from qiskit.providers.backend import BackendV1, BackendV2
-from qiskit.result import QuasiDistribution, Result
+from qiskit.result import Result
 from qiskit.transpiler.passmanager import PassManager
 
-from .backend_estimator import _prepare_counts, _run_circuits
-from .base import BaseSamplerV2, SamplerResult
+from .backend_estimator import _run_circuits
+from .base import BaseSamplerV2
 from .containers import (
     BasePrimitiveOptions,
     BasePrimitiveOptionsLike,
diff --git a/qiskit/primitives/statevector_sampler.py b/qiskit/primitives/statevector_sampler.py
index 2fec6c62a570..8c37e54fedde 100644
--- a/qiskit/primitives/statevector_sampler.py
+++ b/qiskit/primitives/statevector_sampler.py
@@ -15,7 +15,6 @@
 
 from __future__ import annotations
 
-from dataclasses import dataclass
 from typing import Dict, Iterable, List, Optional, Tuple, Union
 
 import numpy as np
@@ -39,7 +38,7 @@
     make_data_bin,
 )
 from .containers.bit_array import _min_num_bytes
-from .containers.dataclasses import mutable_dataclass
+from .containers.dataclasses import dataclass, mutable_dataclass
 from .primitive_job import PrimitiveJob
 from .utils import bound_circuit_to_instruction
 
diff --git a/test/python/primitives/test_sampler_v2.py b/test/python/primitives/test_sampler_v2.py
index e130e98fdddf..e8bb7f68276b 100644
--- a/test/python/primitives/test_sampler_v2.py
+++ b/test/python/primitives/test_sampler_v2.py
@@ -282,9 +282,8 @@ def test_run_errors(self):
         qc2.measure_all()
         qc3 = QuantumCircuit(1)
         qc4 = QuantumCircuit(1, 1)
-        qc5 = QuantumCircuit(1, 1)
-        with qc5.for_loop(range(5)):
-            qc5.h(0)
+        with qc4.for_loop(range(5)):
+            qc4.h(0)
 
         sampler = Sampler(options=self._options)
         with self.subTest("set parameter values to a non-parameterized circuit"):
@@ -308,7 +307,7 @@ def test_run_errors(self):
                 _ = sampler.run([qc3]).result()
         with self.subTest("with control flow"):
             with self.assertRaises(QiskitError):
-                _ = sampler.run([qc5]).result()
+                _ = sampler.run([qc4]).result()
 
     def test_run_empty_parameter(self):
         """Test for empty parameter"""