Get Givens angles and DiagonalHamiltonian to simulate squared one-body.
openfermion.circuits.prepare_one_body_squared_evolution(
one_body_matrix, spin_basis=True
)
The goal here will be to prepare to simulate evolution under
:math:(\sum_{pq} h_{pq} a^\dagger_p a_q)^2 by decomposing as
:math:R e^{-i \sum_{pq} V_{pq} n_p n_q} R^\dagger' where
:math:R` is a basis transformation matrix.
Args |
|---|
one_body_matrix (ndarray of floats): an N by N array storing the
coefficients of a one-body operator to be squared. For instance,
in the above the elements of this matrix are :math:h_{pq}.
spin_basis (bool): Whether the matrix is passed in the
spin orbital basis.
|
Returns |
|---|
density_density_matrix(ndarray of floats) an N by N array storing
the diagonal two-body coefficeints :math:V_{pq} above.
basis_transformation_matrix (ndarray of floats) an N by N array
storing the values of the basis transformation.
|
Raises |
|---|
ValueError
|
one_body_matrix is not Hermitian.
|
View source on GitHub