qml.pauli.diagonalize_qwc_groupings

diagonalize_qwc_groupings(qwc_groupings)

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

 

Download Python script

 

Download Notebook

 

View on GitHub