qml.liealg.adjvec_to_op

adjvec_to_op(adj_vecs, basis, is_orthogonal=True)

Transform adjoint vector representations back into operator format.

This function simply reconstructs \(\hat{O} = \sum_j c_j \hat{b}_j\) given the adjoint vector representation \(c_j\) and basis \(\hat{b}_j\).

See also

op_to_adjvec()

Parameters:

• adj_vecs (TensorLike) – collection of vectors with shape (batch, len(basis))

• basis (List[Union[PauliSentence, Operator, TensorLike]]) – collection of basis operators

• is_orthogonal (bool) – Whether the basis consists of orthogonal elements.

Returns:

collection of operators corresponding to the input vectors read in the input basis. The operators are in the format specified by the elements in basis.

Return type:

list

Example

>>> from pennylane.liealg import adjvec_to_op
>>> c = np.array([[0.5, 0.3, 0.7]])
>>> basis = [qml.X(0), qml.Y(0), qml.Z(0)]
>>> adjvec_to_op(c, basis)
[0.5 * X(0) + 0.3 * Y(0) + 0.7 * Z(0)]

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