Table 1 Infidelity channels for odd and even parity Bell states stabilization

From: Autonomous stabilization with programmable stabilized state

Stabilized state infidelity

\(\left\vert {\Phi }_{-}\right\rangle\)

\(\left\vert {\Psi }_{-}\right\rangle\)

Ideal implementation

1.71%

4.98%

Transmon T1

7.56%

5.25%

Transmon dephasing

3.14%

2.21%

\(\left\vert f\right\rangle\) state leakage

0.1%

0.1%

ZZ interactions

0.85%

0.98%

Thermal excitation*

2.0%

2.0%

QR frequency mismatch

<0.18%

<0.57%

QQ frequency mismatch

<0.1%

<0.1%

Total predicted fidelity

15.64%

16.19%

Experimental infidelity

15.4%

17.5%

  1. * The transmon excitation rate is approximately 0.9 ms, as inferred from the residual infidelities observed in the experiments.
  2. Frequency mismatch are assumed to be at most 20 kHz.