Return a list of quantum gate set tomography (GST) circuits.
The circuits are fully constructed from the data given in gateset_basis. Note that currently this is only implemented for the single-qubits.
int]]) – The qubits to perform GST. If None GST will be performed on qubit-0.
GateSetBasis]) – The gateset and SPAM data.
- Return type
A list of QuantumCircuit objects containing the original circuit with state preparation circuits prepended, and measurement circuits appended.
QiskitError – If called for more than 1 measured qubit.
- Additional Information:
Gate set tomography is performed on a gate set (G0, G1,…,Gm) with the additional information of SPAM circuits (F0,F1,…,Fn) that are constructed from the gates in the gate set.
In gate set tomography, we assume a single initial state rho and a single POVM measurement operator E. The SPAM circuits now provide us with a complete set of initial state F_j|rho> and measurements <E|F_i.
We perform three types of experiments:
- \(\langle E | F_i G_k F_j |\rho \rangle\) for 1 <= i,j <= n
and 1 <= k <= m: This experiment enables us to obtain data on the gate G_k
- \(\langle E | F_i F_j |\rho \rangle\) for 1 <= i,j <= n:
This experiment enables us to obtain the Gram matrix required to “invert” the results of experiments of type 1 in order to reconstruct (a matrix similar to) the gate G_k
- \(\langle E | F_j |\rho \rangle\) for 1 <= j <= n:
This experiment enables us to reconstruct <E| and rho
The result of this method is the set of all the circuits needed for these experiments, suitably labeled with a tuple of the corresponding gate/SPAM labels