qit.utils.superop_lindblad

qit.utils.superop_lindblad(A, H=None)

Liouvillian superoperator for a set of Lindblad operators.

Parameters

• A (Sequence[array]) – sequence of traceless, orthogonal Lindblad operators

• H (array) – optional Hamiltonian operator

Returns

Liouvillian superoperator L

Return type

array

L corresponding to the diagonal-form Lindblad equation

$$\dot{\rho }=\text{inv\_vec}(L\text{vec}(\rho ))=-i[H,\rho ]+\sum _k(A_k\rho A_k^{†}-\frac{1}{2}\{A_k^{†}{A}_k,\rho \})$$