amplitude_damping_error#
- amplitude_damping_error(param_amp, excited_state_population=0, canonical_kraus=True)[source]#
Return a single-qubit generalized amplitude damping quantum error channel.
The single-qubit amplitude damping channel is described by the following Kraus matrices:
A0 = sqrt(1 - p1) * [[1, 0], [0, sqrt(1 - a)]] A1 = sqrt(1 - p1) * [[0, sqrt(a)], [0, 0]] B0 = sqrt(p1) * [[sqrt(1 - a), 0], [0, 1]] B1 = sqrt(p1) * [[0, 0], [sqrt(a), 0]]
where
a = param_amp,p1 = excited_state_population. The equilibrium state after infinitely many applications of the channel is:rho_eq = [[1 - p1, 0]], [0, p1]]
- Parameters:
param_amp (double) – the amplitude damping parameter.
excited_state_population (double) – the population of \(|0\rangle\) state at equilibrium (default: 0).
canonical_kraus (bool) – Convert input Kraus matrices into the canonical Kraus representation (default: True)
- Returns:
a quantum error object for a noise model.
- Return type: