qml.pauli.diagonalize_qwc_pauli_words

diagonalize_qwc_pauli_words(qwc_grouping)

Diagonalizes a list of mutually qubit-wise commutative Pauli words.

Parameters

qwc_grouping (list[Observable]) – a list of observables containing mutually qubit-wise commutative Pauli words

Returns

• list[Operation]: an instance of the qwc_rotation template which diagonalizes the qubit-wise commuting grouping

• list[Observable]: list of Pauli string observables diagonal in the computational basis

Return type

tuple

Raises

ValueError – if any 2 elements in the input QWC grouping are not qubit-wise commutative

Example

>>> qwc_group = [qml.X(0) @ qml.Z(1),
                 qml.X(0) @ qml.Y(3),
                 qml.Z(1) @ qml.Y(3)]
>>> diagonalize_qwc_pauli_words(qwc_group)
([RY(-1.5707963267948966, wires=[0]), RX(1.5707963267948966, wires=[3])],
 [Z(0) @ Z(1),
  Z(0) @ Z(3),
  Z(1) @ Z(3)])

code/api/pennylane.pauli.diagonalize_qwc_pauli_words

 

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