Extended Data Table 2 Pulse sequence used for projective preparation of a GKP eigenstate \(\left|{\psi }_{L}\right\rangle\). It consists of three state-dependent displacements and one global displacement. Here \(\delta =\sqrt{\pi }/2\) and \(\epsilon \approx 0.06\sqrt{\pi }\). In the notation of the main text \(\left|+{Z}_{L}\right\rangle =\left|{0}_{L}\right\rangle\) and \(\left|-{Z}_{L}\right\rangle =\left|{1}_{L}\right\rangle\)
From: Error correction of a logical grid state qubit by dissipative pumping
Eigenstate | Sequence |
|---|---|
\(\left|\pm {X}_{L}\right\rangle\) | e∓iδ(q−p)Ye−iδpXeiδqe−iϵqY |
\(\left|\pm {Y}_{L}\right\rangle\) | e∓iδpYeiδ(q−p)Xeiδqeiϵ(q+p)Y |
\(\left|\pm {Z}_{L}\right\rangle\) | e∓iδ(q+p)YeiδqXeiδpeiϵpY |
