LocalReadoutMitigator

LocalReadoutMitigator.assignment_matrix(qubits=None)

Return the measurement assignment matrix for specified qubits.

The assignment matrix is the stochastic matrix $A$ which assigns a noisy measurement probability distribution to an ideal input measurement distribution: $P(i|j) = \langle i | A | j \rangle$.

Parameters

qubits (Optional[List[int]]) – Optional, qubits being measured for operator expval.

Returns

the assignment matrix A.

Return type

np.ndarray

LocalReadoutMitigator.expectation_value(data, diagonal=None, qubits=None, clbits=None, shots=None)

Compute the mitigated expectation value of a diagonal observable.

This computes the mitigated estimator of $\langle O \rangle = \text{Tr}[\rho. O]$ of a diagonal observable $O = \sum_{x\in\{0, 1\}^n} O(x)|x\rangle\!\langle x|$.

Parameters

• data (Counts) – Counts object
• diagonal (Union[Callable, dict, str, ndarray, None]) – Optional, the vector of diagonal values for summing the expectation value. If None the the default value is $[1, -1]^\otimes n$.
• qubits (Optional[Iterable[int]]) – Optional, the measured physical qubits the count bitstrings correspond to. If None qubits are assumed to be $[0, ..., n-1]$.
• clbits (Optional[List[int]]) – Optional, if not None marginalize counts to the specified bits.
• shots (Optional[int]) – the number of shots.

Returns

the expectation value and an upper bound of the standard deviation.

Return type

(float, float)

Additional Information:

The diagonal observable $O$ is input using the diagonal kwarg as a list or Numpy array $[O(0), ..., O(2^n -1)]$. If no diagonal is specified the diagonal of the Pauli operator :math`O = mbox{diag}(Z^{otimes n}) = [1, -1]^{otimes n}` is used. The clbits kwarg is used to marginalize the input counts dictionary over the specified bit-values, and the qubits kwarg is used to specify which physical qubits these bit-values correspond to as circuit.measure(qubits, clbits).

LocalReadoutMitigator.mitigation_matrix(qubits=None)

Return the measurement mitigation matrix for the specified qubits.

The mitigation matrix $A^{-1}$ is defined as the inverse of the assignment_matrix() $A$.

Parameters

qubits (Union[List[int], int, None]) – Optional, qubits being measured for operator expval. if a single int is given, it is assumed to be the index of the qubit in self._qubits

Returns

the measurement error mitigation matrix $A^{-1}$.

Return type

np.ndarray

LocalReadoutMitigator.quasi_probabilities(data, qubits=None, clbits=None, shots=False)

Compute mitigated quasi probabilities value.

Parameters

• data (Counts) – counts object
• qubits (Optional[List[int]]) – qubits the count bitstrings correspond to.
• clbits (Optional[List[int]]) – Optional, marginalize counts to just these bits.
• shots (Optional[bool]) – the number of shots.

Returns

A dictionary containing pairs of [output, mean] where “output”

is the key in the dictionaries, which is the length-N bitstring of a measured standard basis state, and “mean” is the mean of non-zero quasi-probability estimates.

Return type

QuasiDistibution

Raises

QiskitError – if qubit and clbit kwargs are not valid.

LocalReadoutMitigator.stddev_upper_bound(shots, qubits=None)

Return an upper bound on standard deviation of expval estimator.

Parameters

• shots (int) – Number of shots used for expectation value measurement.
• qubits (Optional[List[int]]) – qubits being measured for operator expval.

Returns

the standard deviation upper bound.

Return type

float

The device qubits for this mitigator

Return type

Tuple[int]

Return settings.

Return type

Dict