qml.pauli.compute_partition_indices

compute_partition_indices(observables, grouping_type='qwc', method='lf')

Computes the partition indices of a list of observables using a specified grouping type and graph colouring method.

Parameters:

• observables (list[Operator]) – A list of Pauli operators to be partitioned.

• grouping_type (str) – The type of binary relation between Pauli observables. It can be 'qwc', 'commuting', or 'anticommuting'. Defaults to 'qwc'.

• method (str) – The graph colouring heuristic to use in solving minimum clique cover. It can be 'lf' (Largest First), 'rlf' (Recursive Largest First), 'dsatur' (Degree of Saturation), or 'gis' (Greedy Independent Set). Defaults to 'lf'.

Returns:

A tuple of tuples where each inner tuple contains the indices of observables that are grouped together according to the specified grouping type and graph colouring method.

Return type:

tuple[tuple[int]]

See also

rustworkx.ColoringStrategy for more information on the ('lf', 'dsatur', 'gis') strategies.

Example

>>> from pennylane.pauli import compute_partition_indices
>>> observables = [qml.X(0) @ qml.Z(1), qml.Z(0), qml.X(1)]
>>> compute_partition_indices(observables, grouping_type="qwc", method="lf")
((0,), (1, 2))

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