class_docstr: Test that the TrotterProduct can be executed and differentiated
  through all interfaces.
class_docstr_tok: ["Test","that","the","TrotterProduct","can","be","executed","and","differentiated","through","all","interfaces","."]
docstr: Test that the gate executes correctly in the autograd interface.
docstr_tok: ["Test","that","the","gate","executes","correctly","in","the","autograd","interface","."]
code: def test_autograd_execute(self, time):
      """Test that the gate executes correctly in the autograd interface."""
      time = qnp.array(time)
      coeffs = qnp.array([1.23, -0.45])
      terms = [qml.PauliX(0), qml.PauliZ(0)]
  
      dev = qml.device("default.qubit", wires=2)
  
      @qml.qnode(dev)
      def circ(time, coeffs):
          h = qml.dot(coeffs, terms)
          qml.TrotterProduct(h, time, n=2, order=2)
          return qml.state()
  
      initial_state = qnp.array([1.0, 0.0, 0.0, 0.0])
  
      expected_product_sequence = _generate_simple_decomp(
          coeffs, terms, time, order=2, n=2
      )
  
      expected_state = (
          reduce(
              lambda x, y: x @ y,
              [
                  qml.matrix(op, wire_order=range(2))
                  for op in expected_product_sequence
              ],
          )
          @ initial_state
      )
  
      state = circ(time, coeffs)
      assert qnp.allclose(expected_state, state)
  
imports: import copy
  from functools import reduce
  import pytest
  import pennylane
  from pennylane import numpy
  from pennylane.math import allclose, get_interface
  from pennylane.templates.subroutines.trotter import _recursive_expression, _scalar
label_desc: Use image node_id 7 for calling the TestIntegration obj's underlying member method code with example usage: obj.test_autograd_execute(time) and returns: qml