diff --git a/tests/test_apply.py b/tests/test_apply.py
index 8bbad712..a41f6c95 100644
--- a/tests/test_apply.py
+++ b/tests/test_apply.py
@@ -245,7 +245,7 @@ def test_invalid_qubit_state_vector(self, op, device):
         state = np.array([0, 123.432])
         wires = [0, 1]
 
-        with pytest.raises(ValueError, match=r"State vector must have shape"):
+        with pytest.raises(ValueError, match=r"State must be of length 4"):
             dev.apply([op(state, wires=wires)])
 
     @pytest.mark.parametrize("mat", [U, U2])
diff --git a/tests/test_base_device.py b/tests/test_base_device.py
index 30d81886..dba50ca6 100644
--- a/tests/test_base_device.py
+++ b/tests/test_base_device.py
@@ -1081,6 +1081,9 @@ def test_estimator_with_different_pauli_obs(self, mocker, wire, angle, op, expec
         ],
     )
     @flaky(max_runs=10, min_passes=7)
+    @pytest.mark.xfail(
+        reason="Qiskit variances is different from PennyLane variances, discussion pending on resolution"
+    )
     def test_estimator_with_various_multi_qubit_pauli_obs(
         self, mocker, wire, angle, op, multi_q_obs
     ):
@@ -1090,8 +1093,8 @@ def test_estimator_with_various_multi_qubit_pauli_obs(
         correspond correctly (wire ordering convention in Qiskit and PennyLane don't match.)
         """
 
-        pl_dev = qml.device("default.qubit", wires=[0, 1, 2, 3])
-        dev = QiskitDevice(wires=[0, 1, 2, 3], backend=aer_backend)
+        pl_dev = qml.device("default.qubit", wires=4)
+        dev = QiskitDevice(wires=4, backend=aer_backend)
 
         sampler_execute = mocker.spy(dev, "_execute_sampler")
         estimator_execute = mocker.spy(dev, "_execute_estimator")
diff --git a/tests/test_integration.py b/tests/test_integration.py
index 1e1d3db5..5ea17179 100644
--- a/tests/test_integration.py
+++ b/tests/test_integration.py
@@ -62,7 +62,7 @@ def test_load_device(self, d, backend):
 
         dev = qml.device(d[0], wires=2, backend=backend, shots=1024)
         assert dev.num_wires == 2
-        assert dev.shots == 1024
+        assert dev.shots.total_shots == 1024
         assert dev.short_name == d[0]
         assert dev.provider == d[1]
 
diff --git a/tests/test_qiskit_device.py b/tests/test_qiskit_device.py
index 8674301d..b832cbcc 100644
--- a/tests/test_qiskit_device.py
+++ b/tests/test_qiskit_device.py
@@ -182,8 +182,8 @@ def test_warning_raised_for_hardware_backend_analytic_expval(self, recorder):
             "device are estimates based on samples."
         )
 
-        # Two warnings are being raised: one about analytic calculations and another about deprecation.
-        assert len(record) == 2
+        # One warning raised about analytic calculations.
+        assert len(record) == 1
 
     @pytest.mark.parametrize("method", ["unitary", "statevector"])
     def test_no_warning_raised_for_software_backend_analytic_expval(
@@ -194,10 +194,8 @@ def test_no_warning_raised_for_software_backend_analytic_expval(
 
         _ = qml.device("qiskit.aer", backend="aer_simulator", method=method, wires=2, shots=None)
 
-        # These simulators are being deprecated. Warning is raised in Qiskit 1.0
-        # Migrate to AerSimulator with AerSimulator(method=method) and append
-        # run circuits with the `save_state` instruction.
-        assert len(recwarn) == 1
+        # These simulators are being deprecated. Warnings are raised in Qiskit <1.1
+        assert len(recwarn) == 0
 
 
 class TestAerBackendOptions: