Pure state tomography with adaptive Pauli measurements

Figure  1.  Single-qubit flip error mitigation. The target state is the 10-qubit 1-D chain state, which is introduced in Section 3.3. The results (${\text {mean}} \pm {\text {std}}$) are evaluated using Eq. (19) from five independent numerical experiments. The blue points represent the ideal measurement results without errors. The yellow triangles represent the measurement results with flip errors ($ \epsilon=0.01 $), which are simulated by the bit-flips in the randomly chosen data points of the ideal measurement results. The red squares represent the processed measurement results with the RBM model. The green squares represent the processed measurement results with the linear inversion method.

Figure  2.  Quantum circuit of a 10-qubit 1-D chain state preparation process. The initial state involves the Néel state; the notation U and S stand for ${\sqrt{{\rm{SWAP}}}}^\dagger$ gate and the STO process, respectively.

Figure  3.  Reconstruction of 1-D chain state with the RBM model. The results (${\text {mean}} \pm {\text {std}}$) are evaluated using the fidelity between the target and reconstructed states with the RBM model in five independent numerical experiments.