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Table 1 Calculated \(\pmb{\Delta_{h,n}^{\eta,r}(\hat{\rho})}\) for \(\pmb{M=100}\) samples of noisy quadrature data ( \(\pmb{\eta=0.45}\) ) for two different values of β . Comparison with the mathematical prediction of the upper bound Δ

From: Quantum interferences reconstruction with low homodyne detection efficiency

β

\(\boldsymbol{\Delta_{h,n}^{\eta,r}(\hat {\rho})}\)

Δ

0.05

0.21

2.39

0.1

0.097

26.07