Fig. 2: The X-P Wigner function of the logical state \({\left\vert+\right\rangle }_{L}\) of three generalized NP codes with the same mean excitation \({\bar{n}}_{{{{\rm{code}}}}}=6\). | Nature Communications

Fig. 2: The X-P Wigner function of the logical state \({\left\vert+\right\rangle }_{L}\) of three generalized NP codes with the same mean excitation \({\bar{n}}_{{{{\rm{code}}}}}=6\).

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

Fig. 2

a The binomial code [s = 4; f = 0; K = 3]. b The O-NP code [s = 1; f = 1/4; r = 0]. c The D-NP code [s = 2; f = 1/2; r = 0]. Here, the parameters of these logical states are defined in Table 1, and the dual logical state \({\left\vert -\right\rangle }_{L}\) can be obtained via an additional phase rotation \(\hat{R}(\pi /s)\).

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