Table 2 Comparison of the fidelities between fault-tolerant prepared logical states and physical states (including preparation and characterization) in the experiment
State | Logical state fidelity | Physical state fidelity |
|---|---|---|
\(\left\vert {0}_{L}\right\rangle /\left\vert 0\right\rangle\) | 97.9(2)% | 96.9(3)% |
\(\left\vert {1}_{L}\right\rangle /\left\vert 1\right\rangle\) | 98.0(2)% | 90.8(6)% |
\(\left\vert {+}_{L}\right\rangle /\left\vert +\right\rangle\) | 97.7(2)% | 94.8(4)% |
\(\left\vert {-}_{L}\right\rangle /\left\vert -\right\rangle\) | 97.8(2)% | 93.6(5)% |
Four Bell states | 79.5(5)% | 74.4(9)% |
| Â | 79.5(5)% | 74.2(9)% |
| Â | 79.4(5)% | 74.5(9)% |
| Â | 79.4(5)% | 74.2(9)% |