Table 1.

Numerical simulation results of the imaginary time evolution of the Heisenberg XXZ spin chain with varying time $\tau$ on $(6,7,20)$ configuration utilizing unitary dilation method.

$\mathit{\tau }$	Max. ${\mathit{F}}_{\mathbf{avg}}$	Avg. $\mathit{f}\left(\overrightarrow{\mathit{\theta }}\right)$	$\mathit{\tau }$	Max. ${\mathit{F}}_{\mathbf{avg}}$	Avg. $\mathit{f}\left(\overrightarrow{\mathit{\theta }}\right)$
$0.01$	$99.12\%$	$0.061$	$0.09$	$94.54\%$	$0.070$
$0.02$	$98.22\%$	$0.062$	$0.10$	$94.07\%$	$0.077$
$0.03$	$97.55\%$	$0.039$	$0.11$	$93.76\%$	$0.064$
$0.04$	$96.95\%$	$0.061$	$0.12$	$93.44\%$	$0.094$
$0.05$	$96.32\%$	$0.051$	$0.13$	$93.22\%$	$0.101$
$0.06$	$95.74\%$	$0.070$	$0.14$	$93.03\%$	$0.082$
$0.07$	$95.23\%$	$0.074$	$0.15$	$92.99\%$	$0.076$
$0.08$	$94.82\%$	$0.053$