openfermion.linalg.givens_matrix_elements

Compute the matrix elements of the Givens rotation that zeroes out one

Main aliases

openfermion.linalg.givens_matrix_elements(
    a, b, which='left'
)

of two row entries.

If which='left' then returns a matrix G such that

G * [a  b]^T= [0  r]^T

otherwise, returns a matrix G such that

G * [a  b]^T= [r  0]^T

where r is a complex number.

Args
a(complex or float): A complex number representing the upper row entry b(complex or float): A complex number representing the lower row entry which(string): Either 'left' or 'right', indicating whether to zero out the left element (first argument) or right element (second argument). Default is `left`.

Returns
G(ndarray): A 2 x 2 numpy array representing the matrix G. The numbers in the first column of G are real.

Args