diff --git a/cirq-core/cirq/testing/__init__.py b/cirq-core/cirq/testing/__init__.py
index 96af44ba7a2..3060eb4b18c 100644
--- a/cirq-core/cirq/testing/__init__.py
+++ b/cirq-core/cirq/testing/__init__.py
@@ -16,6 +16,7 @@
 
 from cirq.testing.circuit_compare import (
     assert_circuits_with_terminal_measurements_are_equivalent,
+    assert_circuits_have_same_unitary_given_final_permutation,
     assert_has_consistent_apply_unitary,
     assert_has_consistent_apply_unitary_for_various_exponents,
     assert_has_diagram,
diff --git a/cirq-core/cirq/testing/circuit_compare.py b/cirq-core/cirq/testing/circuit_compare.py
index 2636f334c52..55dd9e0daf4 100644
--- a/cirq-core/cirq/testing/circuit_compare.py
+++ b/cirq-core/cirq/testing/circuit_compare.py
@@ -220,6 +220,40 @@ def _first_differing_moment_index(
     return None  # coverage: ignore
 
 
+def assert_circuits_have_same_unitary_given_final_permutation(
+    actual: circuits.AbstractCircuit,
+    expected: circuits.AbstractCircuit,
+    qubit_map: Dict[ops.Qid, ops.Qid],
+) -> None:
+    """Asserts two circuits have the same unitary up to a final permuation of qubits.
+
+    Args:
+        actual: A circuit computed by some code under test.
+        expected: The circuit that should have been computed.
+        qubit_map: the permutation of qubits from the beginning to the end of the circuit.
+
+    Raises:
+        ValueError: if 'qubit_map' is not a mapping from the qubits in 'actual' to themselves.
+        ValueError: if 'qubit_map' does not have the same set of keys and values.
+    """
+    if set(qubit_map.keys()) != set(qubit_map.values()):
+        raise ValueError("'qubit_map' must have the same set of of keys and values.")
+
+    if not set(qubit_map.keys()).issubset(actual.all_qubits()):
+        raise ValueError(
+            f"'qubit_map' must be a mapping of the qubits in the circuit 'actual' to themselves."
+        )
+
+    actual_cp = actual.unfreeze()
+    initial_qubits, sorted_qubits = zip(*sorted(qubit_map.items(), key=lambda x: x[1]))
+    inverse_permutation = [sorted_qubits.index(q) for q in initial_qubits]
+    actual_cp.append(ops.QubitPermutationGate(list(inverse_permutation)).on(*sorted_qubits))
+
+    lin_alg_utils.assert_allclose_up_to_global_phase(
+        expected.unitary(), actual_cp.unitary(), atol=1e-8
+    )
+
+
 def assert_has_diagram(
     actual: Union[circuits.AbstractCircuit, circuits.Moment], desired: str, **kwargs
 ) -> None:
diff --git a/cirq-core/cirq/testing/circuit_compare_test.py b/cirq-core/cirq/testing/circuit_compare_test.py
index 75e453f7f63..4c8ed7612fc 100644
--- a/cirq-core/cirq/testing/circuit_compare_test.py
+++ b/cirq-core/cirq/testing/circuit_compare_test.py
@@ -190,6 +190,35 @@ def test_assert_same_circuits():
         )
 
 
+def test_assert_circuits_have_same_unitary_given_final_permutation():
+    q = cirq.LineQubit.range(5)
+    expected = cirq.Circuit([cirq.Moment(cirq.CNOT(q[2], q[1]), cirq.CNOT(q[3], q[0]))])
+    actual = cirq.Circuit(
+        [
+            cirq.Moment(cirq.CNOT(q[2], q[1])),
+            cirq.Moment(cirq.SWAP(q[0], q[2])),
+            cirq.Moment(cirq.SWAP(q[0], q[1])),
+            cirq.Moment(cirq.CNOT(q[3], q[2])),
+        ]
+    )
+    qubit_map = {q[0]: q[2], q[2]: q[1], q[1]: q[0]}
+    cirq.testing.assert_circuits_have_same_unitary_given_final_permutation(
+        actual, expected, qubit_map
+    )
+
+    qubit_map.update({q[2]: q[3]})
+    with pytest.raises(ValueError, match="'qubit_map' must have the same set"):
+        cirq.testing.assert_circuits_have_same_unitary_given_final_permutation(
+            actual, expected, qubit_map=qubit_map
+        )
+
+    bad_qubit_map = {q[0]: q[2], q[2]: q[4], q[4]: q[0]}
+    with pytest.raises(ValueError, match="'qubit_map' must be a mapping"):
+        cirq.testing.assert_circuits_have_same_unitary_given_final_permutation(
+            actual, expected, qubit_map=bad_qubit_map
+        )
+
+
 def test_assert_has_diagram():
     a, b = cirq.LineQubit.range(2)
     circuit = cirq.Circuit(cirq.CNOT(a, b))