EstimateFrequencyA operation
Warning
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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 that is adjointable and measurement, estimates the frequency
with which that measurement succeeds (returns Zero
) by
performing a given number of trials.
operation EstimateFrequencyA (preparation : (Qubit[] => Unit is Adj), measurement : (Qubit[] => Result), nQubits : Int, nMeasurements : Int) : Double
Input
preparation : Qubit[] => Unit is Adj
An adjointable 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.
Remarks
For adjointable operations, certain assumptions can be made such like calling the operation will prepare the qubits to exactly the same state, which allow target machines to make some performance optimizations.
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