pygsti.tools.matrixtools.find_zero_communtant_connection

pygsti.tools.matrixtools.find_zero_communtant_connection#

find_zero_communtant_connection(u, u_inv, u0, u0_inv, kite)#

Find a matrix R such that u_inv R u0 is diagonal AND log(R) has no projection onto the commutant of G0.

More specifically, find a matrix R such that u_inv R u0 is diagonal (so G = R G0 Rinv if G and G0 share the same eigenvalues and have eigenvectors u and u0 respectively) AND log(R) has no (zero) projection onto the commutant of G0 = u0 diag(evals) u0_inv.

Parameters:

  • u (numpy.ndarray) – Usually the eigenvector matrix of a gate (G).

  • u_inv (numpy.ndarray) – Inverse of u.

  • u0 (numpy.ndarray) – Usually the eigenvector matrix of the corresponding target gate (G0).

  • u0_inv (numpy.ndarray) – Inverse of u0.

  • kite (list) – The kite structure of u0.

Return type:

numpy.ndarray