qml.paulix_ops¶

paulix_ops(generators, num_qubits)[source]¶

Generate the single qubit Pauli-X operators $\sigma^{x}_{i}$ for each symmetry $\tau_j$, such that it anti-commutes with $\tau_j$ and commutes with all others symmetries $\tau_{k\neq j}$. These are required to obtain the Clifford operators $U$ for the Hamiltonian $H$.

Parameters

• generators (list[Operator]) – list of generators of symmetries, $\tau$’s, for the Hamiltonian

• num_qubits (int) – number of wires required to define the Hamiltonian

Returns

list of single-qubit Pauli-X operators which will be used to build the Clifford operators $U$.

Return type

list[Observable]

Example

>>> generators = [qml.Hamiltonian([1.0], [qml.Z(0) @ qml.Z(1)]),
...               qml.Hamiltonian([1.0], [qml.Z(0) @ qml.Z(2)]),
...               qml.Hamiltonian([1.0], [qml.Z(0) @ qml.Z(3)])]
>>> paulix_ops(generators, 4)
[X(1), X(2), X(3)]