rydiqule.sensor_utils.get_basis_transform

rydiqule.sensor_utils.get_basis_transform(basis_size: int) → Tuple[ndarray, ndarray][source]

Function that defines the basis transformation matrix u and its inverse u_i, between the real and complex basis.

This matrix u implements that the \(\rho[j,i] \rightarrow Re(\rho[j,i])\) and \(\rho[i,j] \rightarrow Im(\rho[j,i])\).

The transformation is not quite unitary, due to the asymmetry of the factors of 1/2.

Parameters:

basis_size (int) – Size of the basis to generate transformations for.

Returns:

  • u (numpy.ndarray) – Forward transformation matrix.

  • u_inv (numpy.ndarray) – Inverse transformation matrix.

Raises:

RydiquleError – If basis_size does not match current basis.