class_docstr: Tests for the sample return type.
class_docstr_tok: ["Tests","for","the","sample","return","type","."]
docstr: Tests if the samples of a multi-qubit Projector observable returned by sample have
  the correct values
code: def test_sample_values_projector_multi_qubit(self, device, tol):
      """Tests if the samples of a multi-qubit Projector observable returned by sample have
      the correct values
      """
      n_wires = 2
      dev = device(n_wires)
  
      if dev.shots is None:
          pytest.skip(
              "Device is in analytic mode, cannot test sampling."
          )
  
      if "Projector" not in dev.observables:
          pytest.skip(
              "Skipped because device does not support the Projector observable."
          )
  
      theta = 0.543
  
      @qml.qnode(dev)
      def circuit(state):
          qml.RX(theta, wires=[0])
          qml.RY(2 * theta, wires=[1])
          qml.CNOT(wires=[0, 1])
          return qml.sample(qml.Projector(state, wires=[0, 1]))
  
      expected = (np.cos(theta / 2) * np.cos(theta)) ** 2
      res_basis = circuit([0, 0]).flatten()
      res_state = circuit([1, 0, 0, 0]).flatten()
      # res should only contain 0 or 1, the eigenvalues of the projector
      assert np.allclose(
          sorted(list(set(res_basis.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          sorted(list(set(res_state.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          np.mean(res_basis), expected, atol=tol(dev.shots)
      )
      assert np.allclose(
          np.mean(res_state), expected, atol=tol(dev.shots)
      )
  
      expected = (np.cos(theta / 2) * np.sin(theta)) ** 2
      res_basis = circuit([0, 1]).flatten()
      res_state = circuit([0, 1, 0, 0]).flatten()
      assert np.allclose(
          sorted(list(set(res_basis.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          sorted(list(set(res_state.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          np.mean(res_basis), expected, atol=tol(dev.shots)
      )
      assert np.allclose(
          np.mean(res_state), expected, atol=tol(dev.shots)
      )
  
      expected = (np.sin(theta / 2) * np.sin(theta)) ** 2
      res_basis = circuit([1, 0]).flatten()
      res_state = circuit([0, 0, 1, 0]).flatten()
      assert np.allclose(
          sorted(list(set(res_basis.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          sorted(list(set(res_state.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          np.mean(res_basis), expected, atol=tol(dev.shots)
      )
      assert np.allclose(
          np.mean(res_state), expected, atol=tol(dev.shots)
      )
  
      expected = (np.sin(theta / 2) * np.cos(theta)) ** 2
      res_basis = circuit([1, 1]).flatten()
      res_state = circuit([0, 0, 0, 1]).flatten()
      assert np.allclose(
          sorted(list(set(res_basis.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          sorted(list(set(res_state.tolist()))),
          [0, 1],
          atol=tol(dev.shots),
      )
      assert np.allclose(
          np.mean(res_basis), expected, atol=tol(dev.shots)
      )
      assert np.allclose(
          np.mean(res_state), expected, atol=tol(dev.shots)
      )
  
imports: import pytest
  from flaky import flaky
  from scipy.sparse import csr_matrix
  import pennylane
  from pennylane import numpy
  from pennylane.measurements import ClassicalShadowMP, MeasurementTransform, SampleMeasurement, SampleMP, StateMeasurement, StateMP
label_desc: Use image node_id 5 for calling the TestSample obj's underlying member method code with example usage: obj.test_sample_values_projector_multi_qubit(device, tol) and returns: qml