class cirq.AmplitudeDampingChannel(gamma)[source]

Dampen qubit amplitudes through dissipation.

This channel models the effect of energy dissipation to the
surrounding environment.
__init__(gamma) → None[source]

The amplitude damping channel.

Construct a channel that dissipates energy. The probability of energy
exchange occurring is given by gamma.

This channel evolves a density matrix as follows:

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

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

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


controlled_by(*control_qubits) Returns a controlled version of this gate.
num_qubits() The number of qubits this gate acts on.
on(*qubits) Returns an application of this gate to the given qubits.
on_each(*targets) Returns a list of operations apply this gate to each of the targets.
validate_args(qubits) Checks if this gate can be applied to the given qubits.
wrap_in_linear_combination(coefficient, …)