cirq.amplitude_damp

cirq.amplitude_damp(gamma: float) → cirq.ops.common_channels.AmplitudeDampingChannel[source]

Returns an AmplitudeDampingChannel with the given probability gamma.

This channel evolves a density matrix via:

$$ \rho \rightarrow M_0 \rho M_0^\dagger + M_1 \rho M_1^\dagger $$
With:

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

Parameters:gamma – the probability of the interaction being dissipative.
Raises:ValueError – if gamma is not a valid probability.