Table 2 Reference durations T for required QEC operations in superconducting circuit experiments

From: Generalized number-phase lattice encoding of a bosonic mode for quantum error correction

Operation

\({{{{\mathcal{P}}}}}_{s}(\left\vert+\right\rangle )\)

\(\bar{H}\)

\(\bar{Z}(\beta )\)

\({\hat{U}}_{f}\)

\({\bar{C}}_{Z}\)

\({\hat{{{{\mathcal{M}}}}}}_{X}\)

T(~ μs)

1

2–4

0.1

0.1

0.2

2 ~ 4

Ref.

23

(26)

(25)

70

(26)

65

  1. These operations are, in order from left to right, state preparation \({{{{\mathcal{P}}}}}_{s}(\left\vert+\right\rangle )\), logical Hadamard gate \(\bar{H}\), arbitrary logical \(\bar{Z}\) rotation \(\bar{Z}(\beta )\), interface gate \({\hat{U}}_{f}\), logical controlled-phase gate \({\bar{C}}_{Z}\), and phase measurement \({\hat{{{{\mathcal{M}}}}}}_{X}\).
Back to article page