class_docstr: Tests the _generalized_pauli_decompose via pauli_decompose function
docstr: Tests that pauli_decompose successfully decomposes Hamiltonians into a
  linear combination of Pauli matrices
docstr_tok: ["Tests","that","pauli_decompose","successfully","decomposes","Hamiltonians","into","a","linear","combination","of","Pauli","matrices"]
code: def test_decomposition(self, hamiltonian):
      """Tests that pauli_decompose successfully decomposes Hamiltonians into a
      linear combination of Pauli matrices"""
      decomposed_coeff, decomposed_obs = qml.pauli_decompose(
          hamiltonian, check_hermitian=False
      ).terms()
      n = range(int(np.log2(len(hamiltonian))))
  
      linear_comb = sum(
          [
              decomposed_coeff[i] * qml.matrix(o, wire_order=n)
              for i, o in enumerate(decomposed_obs)
          ]
      )
      assert np.allclose(hamiltonian, linear_comb)
  
imports: import pytest
  import numpy
  import pennylane
  from pennylane.operation import Tensor
  from pennylane.ops import Identity, PauliX, PauliY, PauliZ
  from pennylane.pauli import pauli_sentence, PauliWord, PauliSentence
  from pennylane.pauli.conversion import _generalized_pauli_decompose
label_desc: Use image node_id 7 for calling the TestPhasedDecomposition obj's underlying member method code with example usage: obj.test_decomposition(hamiltonian) without return types