qml.pauli.optimize_measurements¶
-
optimize_measurements(observables, coefficients=None, grouping='qwc', colouring_method='rlf')[source]¶ Partitions then diagonalizes a list of Pauli words, facilitating simultaneous measurement of all observables within a partition.
The input list of observables are partitioned into mutually qubit-wise commuting (QWC) or mutually commuting partitions by approximately solving minimum clique cover on a graph where each observable represents a vertex. The unitaries which diagonalize the partitions are then found. See arXiv:1907.03358 and arXiv:1907.09386 for technical details of the QWC and fully-commuting measurement-partitioning approaches respectively.
- Parameters
observables (list[Observable]) – a list of Pauli words (Pauli operation instances and Tensor instances thereof)
coefficients (list[float]) – a list of float coefficients, for instance the weights of the Pauli words comprising a Hamiltonian
grouping (str) – the binary symmetric relation to use for operator partitioning
colouring_method (str) – the graph-colouring heuristic to use in obtaining the operator partitions
- Returns
list[callable]: a list of the post-rotation templates, one for each partition
list[list[Observable]]: A list of the obtained groupings. Each grouping is itself a list of Pauli words diagonal in the measurement basis.
list[list[float]]: A list of coefficient groupings. Each coefficient grouping is itself a list of the partitions corresponding coefficients. Only output if coefficients are specified.
- Return type
tuple
Example
>>> obs = [qml.Y(0), qml.X(0) @ qml.X(1), qml.Z(1)] >>> coeffs = [1.43, 4.21, 0.97] >>> rotations, groupings, grouped_coeffs = optimize_measurements(obs, coeffs, 'qwc', 'rlf') >>> print(rotations) [[RY(-1.5707963267948966, wires=[0]), RY(-1.5707963267948966, wires=[1])], [RX(1.5707963267948966, wires=[0])]] >>> print(groupings) [[Z(0) @ Z(1)], [Z(0), Z(1)]] >>> print(grouped_coeffs) [[4.21], [1.43, 0.97]]