Table 1 Infidelity contributions from different sources of imperfections
From: Integrated 9Be+ multi-qubit gate device for the ion-trap quantum computer
Effect | Parameter | Infidelity |
|---|---|---|
Mode instability | \(\sqrt {\langle (\delta _\epsilon /\delta )^2\rangle } = 1.1 \times 10^{ - 2}\) | 1.3 × 10−2 |
0.3 Hz μs−1 “chirp” for 600 μs | ||
Spectator mode | Δν = 2π × 42.5 kHz | 5.2 × 10−3 |
with \(\bar n_{{\mathrm{r1}}} = 0.27\) | ||
Motional heating | \(\gamma _{\mathrm{h}} = \dot{\bar{n}}_{{\mathrm{r2}}} = 28{\mkern 1mu} {\mathrm{s}}^{ - {\mathrm{1}}}\) | 3.8 × 10−3 |
Off-resonant scattering loss | <2.3 × 10−3 | |
Qubit decoherence | τd = 1/γd > 0.5 s | <9.3 × 10−4 |
Pulse shape | See main text | 6.3 × 10−4 |
ACZS fluctuations | \(\sqrt {\langle (\Delta _\epsilon /\Delta )^2\rangle } = 8 \times 10^{ - 4}\) | 1.1 × 10−4 |
Rabi frequency imbalance | \(\frac{{\Omega _{\mathrm{R}} - \Omega _{\mathrm{B}}}}{{\Omega _{\mathrm{B}}}} = 2.33 \times 10^{ - 2}\) | 4.1 × 10−6 |