cirq.ops.generalized_amplitude_damp

Returns a GeneralizedAmplitudeDampingChannel with the given

cirq.ops.generalized_amplitude_damp(
    p: float,
    gamma: float
) -> cirq.ops.GeneralizedAmplitudeDampingChannel

Used in the notebooks

Used in the tutorials

probabilities gamma and p.

This channel evolves a density matrix via:

$$ \rho \rightarrow M_0 \rho M_0^\dagger + M_1 \rho M_1^\dagger + M_2 \rho M_2^\dagger + M_3 \rho M_3^\dagger $$

With:

$$ \begin{aligned} M_0 =& \sqrt{p} \begin{bmatrix} 1 & 0 \\ 0 & \sqrt{1 - \gamma} \end{bmatrix} \\ M_1 =& \sqrt{p} \begin{bmatrix} 0 & \sqrt{\gamma} \\ 0 & 0 \end{bmatrix} \\ M_2 =& \sqrt{1-p} \begin{bmatrix} \sqrt{1-\gamma} & 0 \\ 0 & 1 \end{bmatrix} \\ M_3 =& \sqrt{1-p} \begin{bmatrix} 0 & 0 \\ \sqrt{\gamma} & 0 \end{bmatrix} \end{aligned} $$

gamma the probability of the interaction being dissipative.
p the probability of the qubit and environment exchanging energy.

ValueError gamma or p is not a valid probability.