Fig. 7: Reconstruction infidelity for a process tensor experiment on the ibmq_valencia.
From: Demonstration of non-Markovian process characterisation and control on a quantum processor

Here, we examine a four time process tensor whose basis is \({{\mathcal{U}}}^{(4)}\otimes {{\mathcal{U}}}^{(n)}\otimes {{\mathcal{U}}}^{(n)}\). We compare the reconstruction fidelity between predictions made for the experimental sequences \({{\mathcal{U}}}^{(1:4)}\otimes {{\mathcal{U}}}^{(n:28)}\otimes {{\mathcal{U}}}^{(n:28)}\) (inside the preparation set) with \({{\mathcal{U}}}^{(5:8)}\otimes {{\mathcal{U}}}^{(n:28)}\otimes {{\mathcal{U}}}^{(n:28)}\) (outside the preparation set). We find that they are, within error, the same. Indeed with slightly better performing results for the unitaries outside of the basis set.