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Dependence of the NV of the Wigner function \({\mathscr{V}}\) (Eq. (13)) (solid curve) on the purity \({\mathscr{P}}\) (Eq. (15)) of the qubit diagonal mixed state \({\hat{\rho }}_{d}^{q}\) (Eq. (11)). The maximum value for the NV \({\mathscr{V}}\) of the qubit is shown by red dashed line.