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|
Returns a GeneralizedAmplitudeDampingChannel with the given
cirq.ops.generalized_amplitude_damp(
p: float,
gamma: float
) -> cirq.ops.GeneralizedAmplitudeDampingChannel
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:
$$
\begin{aligned}
M_0 =& \sqrt{p} \begin{bmatrix}
1 & 0 \\
0 & \sqrt{1 - \gamma}
\end{bmatrix}
\\
M_1 =& \sqrt{p} \begin{bmatrix}
0 & \sqrt{\gamma} \\
0 & 0
\end{bmatrix}
\\
M_2 =& \sqrt{1-p} \begin{bmatrix}
\sqrt{1-\gamma} & 0 \\
0 & 1
\end{bmatrix}
\\
M_3 =& \sqrt{1-p} \begin{bmatrix}
0 & 0 \\
\sqrt{\gamma} & 0
\end{bmatrix}
\end{aligned}
$$
Args | |
|---|---|
gamma
|
the probability of the interaction being dissipative. |
p
|
the probability of the qubit and environment exchanging energy. |
Raises | |
|---|---|
ValueError
|
gamma or p is not a valid probability. |