EstimateFrequency operation
Warning
This documentation refers to the Classic QDK, which has been replaced by the Modern QDK.
Please see https://aka.ms/qdk.api for the API documentation for the Modern QDK.
Namespace: Microsoft.Quantum.Characterization
Package: Microsoft.Quantum.Standard
Given a preparation and measurement, estimates the frequency
with which that measurement succeeds (returns Zero
) by
performing a given number of trials.
operation EstimateFrequency (preparation : (Qubit[] => Unit), measurement : (Qubit[] => Result), nQubits : Int, nMeasurements : Int) : Double
Input
preparation : Qubit[] => Unit
An operation $P$ that prepares a given state $\rho$ on its input register.
measurement : Qubit[] => Result
An operation $M$ representing the measurement of interest.
nQubits : Int
The number of qubits on which the preparation and measurement each act.
nMeasurements : Int
The number of times that the measurement should be performed in order to estimate the frequency of interest.
Output : Double
An estimate $\hat{p}$ of the frequency with which
$M(P(\ket{00 \cdots 0}\bra{00 \cdots 0}))$ returns Zero
,
obtained using the unbiased binomial estimator $\hat{p} =
n_{\uparrow} / n_{\text{measurements}}$, where $n_{\uparrow}$ is
the number of Zero
results observed.
This is particularly important on target machines which respect physical limitations, such that probabilities cannot be measured.
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