Update test/ad_utils.jl

Co-authored-by: Jutho <Jutho@users.noreply.github.com>

Author: kshyatt

test/ad_utils.jl

@@ -24,7 +24,7 @@ function remove_eighgauge_dependence!(
     gaugepart = V' * ΔV
     gaugepart = project_antihermitian!(gaugepart)
     gaugepart[abs.(transpose(diagview(D)) .- diagview(D)) .>= degeneracy_atol] .= 0
-    mul!(ΔV, V / (V' * V), gaugepart, -1, 1)
+    mul!(ΔV, V, gaugepart, -1, 1)
     return ΔV
 end