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 a circuit.
docstr_tok: ["Test","that","the","gate","executes","correctly","in","a","circuit","."]
code: def test_execute_circuit(self, hamiltonian, hamiltonian_index, order):
      """Test that the gate executes correctly in a circuit."""
      wires = hamiltonian.wires
      dev = qml.device("default.qubit", wires=wires)
  
      @qml.qnode(dev)
      def circ():
          qml.TrotterProduct(hamiltonian, time=4.2, order=order)
          return qml.state()
  
      initial_state = qnp.zeros(2 ** (len(wires)))
      initial_state[0] = 1
  
      expected_state = (
          reduce(
              lambda x, y: x @ y,
              [
                  qml.matrix(op, wire_order=wires)
                  for op in test_decompositions[
                      (hamiltonian_index, order)
                  ]
              ],
          )
          @ initial_state
      )
      state = circ()
  
      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 1 for calling the TestIntegration obj's underlying member method code with example usage: obj.test_execute_circuit(hamiltonian, hamiltonian_index, order) and returns: qml