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

Measured infidelity following refs. 19,43

<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

  1. The infidelity values result from numerical simulations of the quantum dynamics according to Eq. (2), including the respective noise effect with a strength given by the measured parameter specified in the second column