qml.pauli.diagonalize_qwc_groupings¶
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diagonalize_qwc_groupings
(qwc_groupings)[source]¶ Diagonalizes a list of qubit-wise commutative groupings of Pauli strings.
- Parameters
qwc_groupings (list[list[Observable]]) – a list of mutually qubit-wise commutative groupings of Pauli string observables
- Returns
list[list[Operation]]: a list of instances of the qwc_rotation template which diagonalizes the qubit-wise commuting grouping, order corresponding to qwc_groupings
list[list[Observable]]: a list of QWC groupings diagonalized in the computational basis, order corresponding to qwc_groupings
- Return type
tuple
Example
>>> qwc_group_1 = [qml.X(0) @ qml.Z(1), qml.X(0) @ qml.Y(3), qml.Z(1) @ qml.Y(3)] >>> qwc_group_2 = [qml.Y(0), qml.Y(0) @ qml.X(2), qml.X(1) @ qml.Z(3)] >>> post_rotations, diag_groupings = diagonalize_qwc_groupings([qwc_group_1, qwc_group_2]) >>> post_rotations [[RY(-1.5707963267948966, wires=[0]), RX(1.5707963267948966, wires=[3])], [RX(1.5707963267948966, wires=[0]), RY(-1.5707963267948966, wires=[2]), RY(-1.5707963267948966, wires=[1])]] >>> diag_groupings [[Z(0) @ Z(1), Z(0) @ Z(3), Z(1) @ Z(3)], [Z(0), Z(0) @ Z(2), Z(1) @ Z(3)]]
code/api/pennylane.pauli.diagonalize_qwc_groupings
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