class_docstr: Test that stoch_pulse_grad integrates correctly with QNodes and ML interfaces.
class_docstr_tok: ["Test","that","stoch_pulse_grad","integrates","correctly","with","QNodes","and","ML","interfaces","."]
docstr: Test that using broadcasting or not does not change the result.
docstr_tok: ["Test","that","using","broadcasting","or","not","does","not","change","the","result","."]
code: def test_broadcasting_coincides_with_nonbroadcasting(
      self, dev_name, num_split_times
  ):
      """Test that using broadcasting or not does not change the result."""
      import jax
      import jax.numpy as jnp
  
      jax.config.update("jax_enable_x64", True)
      dev = qml.device(dev_name, wires=2)
      T = 0.2
  
      def f(p, t):
          return jnp.sin(p * t)
  
      ham_single_q_const = 0.1 * qml.PauliX(0) + f * (
          qml.PauliY(0) @ qml.PauliY(1)
      )
  
      def ansatz(params):
          qml.evolve(ham_single_q_const)(params, T)
          return qml.probs(wires=0), qml.expval(qml.PauliZ(0))
  
      # Create QNodes with and without use_broadcasting.
      circuit_bc = qml.QNode(
          ansatz,
          dev,
          interface="jax",
          diff_method=stoch_pulse_grad,
          num_split_times=num_split_times,
          use_broadcasting=True,
          sampler_seed=324,
      )
      circuit_no_bc = qml.QNode(
          ansatz,
          dev,
          interface="jax",
          diff_method=stoch_pulse_grad,
          num_split_times=num_split_times,
          use_broadcasting=False,
          sampler_seed=324,
      )
      params = [jnp.array(0.4)]
      jac_bc = jax.jacobian(circuit_bc)(params)
      jac_no_bc = jax.jacobian(circuit_no_bc)(params)
      for j0, j1 in zip(jac_bc, jac_no_bc):
          assert qml.math.allclose(j0, j1)
      jax.clear_caches()
  
imports: import warnings
  import copy
  import pytest
  import numpy
  import pennylane
  from pennylane.gradients.general_shift_rules import eigvals_to_frequencies, generate_shift_rule
  from pennylane.gradients.pulse_gradient import _parshift_and_integrate, _split_evol_ops, _split_evol_tape, stoch_pulse_grad
label_desc: Use image node_id 9 for calling the TestStochPulseGradIntegration obj's underlying member method code with example usage: obj.test_broadcasting_coincides_with_nonbroadcasting(dev_name, num_split_times) and returns: jnp, qml,  qml