# qml.transforms.cancel_inverses¶

cancel_inverses = <function cancel_inverses>[source]

Quantum function transform to remove any operations that are applied next to their (self-)inverse.

Parameters

qfunc (function) – A quantum function.

Returns

the transformed quantum function

Return type

function

Example

Consider the following quantum function:

def qfunc(x, y, z):
qml.RX(x, wires=2)
qml.RY(y, wires=1)
qml.PauliX(wires=1)
qml.RZ(z, wires=0)
qml.RX(y, wires=2)
qml.CNOT(wires=[0, 2])
qml.PauliX(wires=1)
return qml.expval(qml.PauliZ(0))


The circuit before optimization:

>>> dev = qml.device('default.qubit', wires=3)
>>> qnode = qml.QNode(qfunc, dev)
>>> print(qml.draw(qnode)(1, 2, 3))
0: ──H──────H──────RZ(3)─────╭C──┤ ⟨Z⟩
1: ──H──────RY(2)──X──────X──│───┤
2: ──RX(1)──RX(2)────────────╰X──┤


We can see that there are two adjacent Hadamards on the first qubit that should cancel each other out. Similarly, there are two Pauli-X gates on the second qubit that should cancel. We can obtain a simplified circuit by running the cancel_inverses transform:

>>> optimized_qfunc = cancel_inverses(qfunc)
>>> optimized_qnode = qml.QNode(optimized_qfunc, dev)
>>> print(qml.draw(optimized_qnode)(1, 2, 3))
0: ──RZ(3)─────────╭C──┤ ⟨Z⟩
1: ──H──────RY(2)──│───┤
2: ──RX(1)──RX(2)──╰X──┤