class_docstr: Test the jax interface execute function
  integrates well for both forward and backward execution
class_docstr_tok: ["Test","the","jax","interface","execute","function","integrates","well","for","both","forward","and","backward","execution"]
docstr: Test that tapes wit different can be executed and differentiated.
docstr_tok: ["Test","that","tapes","wit","different","can","be","executed","and","differentiated","."]
code: def test_tapes_with_different_return_size(
      self, execute_kwargs, shots, device
  ):
      """Test that tapes wit different can be executed and differentiated."""
  
      def cost(params):
          tape1 = qml.tape.QuantumScript(
              [qml.RY(params[0], 0), qml.RX(params[1], 0)],
              [qml.expval(qml.PauliZ(0)), qml.expval(qml.PauliZ(1))],
              shots=shots,
          )
  
          tape2 = qml.tape.QuantumScript(
              [qml.RY(np.array(0.5), 0)],
              [qml.expval(qml.PauliZ(0))],
              shots=shots,
          )
  
          tape3 = qml.tape.QuantumScript(
              [qml.RY(params[0], 0), qml.RX(params[1], 0)],
              [qml.expval(qml.PauliZ(0))],
              shots=shots,
          )
          res = qml.execute(
              [tape1, tape2, tape3], device, **execute_kwargs
          )
          leaves = jax.tree_util.tree_leaves(res)
          return jnp.hstack(leaves)
  
      params = jnp.array([0.1, 0.2])
      x, y = params
  
      res = cost(params)
      assert isinstance(res, jax.Array)
      assert (
          res.shape == (4 * shots.num_copies,)
          if shots.has_partitioned_shots
          else (4,)
      )
  
      if shots.has_partitioned_shots:
          assert np.allclose(
              res[0],
              jnp.cos(x) * jnp.cos(y),
              atol=atol_for_shots(shots),
          )
          assert np.allclose(
              res[2],
              jnp.cos(x) * jnp.cos(y),
              atol=atol_for_shots(shots),
          )
          assert np.allclose(res[1], 1, atol=atol_for_shots(shots))
          assert np.allclose(res[3], 1, atol=atol_for_shots(shots))
          assert np.allclose(
              res[4], jnp.cos(0.5), atol=atol_for_shots(shots)
          )
          assert np.allclose(
              res[5], jnp.cos(0.5), atol=atol_for_shots(shots)
          )
          assert np.allclose(
              res[6],
              jnp.cos(x) * jnp.cos(y),
              atol=atol_for_shots(shots),
          )
          assert np.allclose(
              res[7],
              jnp.cos(x) * jnp.cos(y),
              atol=atol_for_shots(shots),
          )
      else:
          assert np.allclose(
              res[0],
              jnp.cos(x) * jnp.cos(y),
              atol=atol_for_shots(shots),
          )
          assert np.allclose(res[1], 1, atol=atol_for_shots(shots))
          assert np.allclose(
              res[2], jnp.cos(0.5), atol=atol_for_shots(shots)
          )
          assert np.allclose(
              res[3],
              jnp.cos(x) * jnp.cos(y),
              atol=atol_for_shots(shots),
          )
  
      jac = jax.jacobian(cost)(params)
      assert isinstance(jac, jnp.ndarray)
      assert (
          jac.shape == (8, 2) if shots.has_partitioned_shots else (4, 2)
      )  # pylint: disable=no-member
  
      if shots.has_partitioned_shots:
          assert np.allclose(jac[1], 0, atol=atol_for_shots(shots))
          assert np.allclose(jac[3:5], 0, atol=atol_for_shots(shots))
      else:
          assert np.allclose(jac[1:3], 0, atol=atol_for_shots(shots))
  
      d1 = -jnp.sin(x) * jnp.cos(y)
      if shots.has_partitioned_shots:
          assert np.allclose(jac[0, 0], d1, atol=atol_for_shots(shots))
          assert np.allclose(jac[2, 0], d1, atol=atol_for_shots(shots))
          assert np.allclose(jac[6, 0], d1, atol=atol_for_shots(shots))
          assert np.allclose(jac[7, 0], d1, atol=atol_for_shots(shots))
      else:
          assert np.allclose(jac[0, 0], d1, atol=atol_for_shots(shots))
          assert np.allclose(jac[3, 0], d1, atol=atol_for_shots(shots))
  
      d2 = -jnp.cos(x) * jnp.sin(y)
      if shots.has_partitioned_shots:
          assert np.allclose(jac[0, 1], d2, atol=atol_for_shots(shots))
          assert np.allclose(jac[2, 1], d2, atol=atol_for_shots(shots))
          assert np.allclose(jac[6, 1], d2, atol=atol_for_shots(shots))
          assert np.allclose(jac[7, 1], d2, atol=atol_for_shots(shots))
      else:
          assert np.allclose(jac[0, 1], d2, atol=atol_for_shots(shots))
          assert np.allclose(jac[3, 1], d2, atol=atol_for_shots(shots))
  
imports: import pytest
  import numpy
  from param_shift_dev import ParamShiftDerivativesDevice
  import pennylane
  from pennylane.devices import DefaultQubit
  from pennylane.gradients import param_shift
  from pennylane import execute
  from pennylane.measurements import Shots
label_desc: Use image node_id 5 for calling the TestJaxExecuteIntegration obj's underlying member method code with example usage: obj.test_tapes_with_different_return_size(execute_kwargs, shots, device) and returns: jnp