cirq.log_xeb_fidelity_from_probabilities
Logarithmic XEB fidelity estimator.
cirq.log_xeb_fidelity_from_probabilities(
hilbert_space_dimension: int, probabilities: Sequence[float]
) -> float
Estimates fidelity from ideal probabilities of observed bitstrings.
See linear_xeb_fidelity_from_probabilities
for the assumptions made
by this estimator.
The mean of this estimator is the true fidelity f and the variance is
(pi^2/6 - f^2) / M
where f is the fidelity and M the number of observations, equal to
len(probabilities). This is better than linear XEB (see above) when
fidelity is f > 0.32. Since this estimator is unbiased, the variance
is equal to the mean squared error of the estimator.
The estimator is intended for use with xeb_fidelity() below.
Args |
hilbert_space_dimension
|
Dimension of the Hilbert space on which
the channel whose fidelity is being estimated is defined.
|
probabilities
|
Ideal probabilities of bitstrings observed in
experiment.
|
Returns |
Estimate of fidelity associated with an experimental realization
of a quantum circuit.
|
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Last updated 2024-06-27 UTC.
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