code: def test_group_commutator_decompose(op):
      """Test group commutator deocompose method for SU(2)"""
  
      su2_matrix, _ = _SU2_transform(qml.matrix(op))
  
      v_hat, w_hat = _group_commutator_decompose(su2_matrix)
      decomposed_matrix = (
          v_hat
          @ w_hat
          @ qml.math.conj(qml.math.transpose(v_hat))
          @ qml.math.conj(qml.math.transpose(w_hat))
      )
  
      assert qml.math.allclose(decomposed_matrix, su2_matrix)
  
file_path: pennylane/tests/ops/op_math/test_solovay_kitaev.py
imports: import math
  import pytest
  import scipy
  import pennylane
  from pennylane.ops.op_math.decompositions.solovay_kitaev import _SU2_transform, _quaternion_transform, _contains_SU2, _approximate_set, _group_commutator_decompose, sk_decomposition
label_desc: Use image node_id 5 for calling a global function with example usage: test_group_commutator_decompose(op) without return types