Table 2 The critical values of the entropic LGI in the case of \(\tau =0.1\frac{\pi }{\omega }\) with \(\alpha =0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8,\) 0.9, 1, for the pure qubit under the coarsening measurement reference and the coarsening final measurement resolution, respectively.

From: Comparing the quantum witness, the entropic Leggett–Garg inequality and the NCGD

\(\alpha \)

\(\Delta _{critical}\)

\(\delta _{critical}\)

0

0.19235

0.009164

0.1

0.19239

0.009168

0.2

0.19252

0.009181

0.3

0.19274

0.009202

0.4

0.19308

0.009235

0.5

0.19359

0.009283

0.6

0.19434

0.009355

0.7

0.1955

0.009466

0.8

0.19744

0.009652

0.9

0.20126

0.010025

1

0.21678

0.011611