phase_amplitude_damping_error#
- phase_amplitude_damping_error(param_amp, param_phase, excited_state_population=0, canonical_kraus=True)[source]#
Return a single-qubit combined phase and amplitude damping quantum error channel.
The single-qubit combined phase and amplitude damping channel is described by the following Kraus matrices:
A0 = sqrt(1 - p1) * [[1, 0], [0, sqrt(1 - a - b)]] A1 = sqrt(1 - p1) * [[0, sqrt(a)], [0, 0]] A2 = sqrt(1 - p1) * [[0, 0], [0, sqrt(b)]] B0 = sqrt(p1) * [[sqrt(1 - a - b), 0], [0, 1]] B1 = sqrt(p1) * [[0, 0], [sqrt(a), 0]] B2 = sqrt(p1) * [[sqrt(b), 0], [0, 0]]
where
a = param_amp
,b = param_phase
, andp1 = 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 error parameter.
param_phase (double) – the phase damping error parameter.
excited_state_population (double) – the population of \(|1\rangle\) 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:
- Raises:
NoiseError – If noise parameters are invalid.