pygsti.tools.mcfetools.rc_predicted_process_fidelity

pygsti.tools.mcfetools.rc_predicted_process_fidelity#

rc_predicted_process_fidelity(bare_rc_effective_pols, rc_rc_effective_pols, reference_effective_pols, n)#

Utility function for MCFE VBDataFrame creation.

Compute the process fidelity f for a circuit on n qubits according to the formula

f = 1 - (4**n - 1)/4**n * (1 - p),

Where p is the effective polarization of the circuit, given by

p = E[p(M_1)] / sqrt( E[p(M_2)] * E[p(M_3)] ).

Here, M_i refers to the i-th family of mirror circuits used in mirror circuit fidelity estimation with randomized compiling. See https://arxiv.org/pdf/2204.07568 for more information.

The process fidelity estimate is clamped to the [0.0, 1.0] range.

Parameters:

  • bare_rc_effective_pols (np.ndarray[float]) – list of effective polarizations for bare_rc (M_1) mirror circuits.

  • rc_rc_effective_pols (np.ndarray[float]) – list of effective polarizations for rc_rc (M_2) mirror circuits.

  • reference_effective_pols (np.ndarray[float]) – list of effective polarizations for SPAM reference (M_3) mirror circuits.

  • n (int) – number of qubits in the quantum circuit.

Return type:

float

Returns:#

float

process fidelity estimate.