Table 2 Summary of important notations.
From: Gottesman-Kitaev-Preskill qubit synthesizer for propagating light
Notation | Detail |
|---|---|
Δ, κ | Factor of squeezing and Gaussian envelope of the GKP qubits |
\(\left\vert {\tilde{0}}_{\Delta ,\kappa }\right\rangle ,\,\left\vert {\tilde{1}}_{\Delta ,\kappa }\right\rangle\) | Physical codewords of the GKP qubits |
\({{{{\mathcal{B}}}}}_{w}\) | Ideal coherent bifurcation with a displacement factor w |
\({{{{\mathcal{B}}}}}_{w}^{(N)}\) | N-time iteration of \({{{{\mathcal{B}}}}}_{w}\) |
\({{{{\rm{e}}}}}^{-t{\hat{x}}^{2}},\,{{{{\rm{e}}}}}^{-t{\hat{p}}^{2}}\) | Damping operators of x and p |
\({{{{\mathcal{G}}}}}_{w}\) | Generalized photon subtraction |
\({\tilde{{{{\mathcal{G}}}}}}_{w}\) | Iterable generalized photon subtraction |
c | A dominant parameter of the quality of \({\tilde{{{{\mathcal{G}}}}}}_{w}\) |
n | Detected photon number in each \({\tilde{{{{\mathcal{G}}}}}}_{w}\) |
