diff --git a/G/GRAPE/Compat.toml b/G/GRAPE/Compat.toml
index 70ed3ddf4e465b9..381f7b79ec38a95 100644
--- a/G/GRAPE/Compat.toml
+++ b/G/GRAPE/Compat.toml
@@ -1,7 +1,6 @@
 [0]
 ConcreteStructs = "0.2"
 Optim = "1"
-julia = "1.6.0-1"
 
 ["0-0.0.1"]
 Parameters = "0.12"
@@ -11,6 +10,9 @@ QuantumControl = "0.0"
 QuantumControlBase = "0.0"
 QuantumPropagators = "0.0"
 
+["0-0.5.4"]
+julia = "1.6.0-1"
+
 ["0.0.2-0"]
 LBFGSB = "0.4"
 
@@ -48,8 +50,13 @@ QuantumControlBase = "0.7.2-0.7"
 ["0.5.2"]
 QuantumControlBase = "0.8"
 
-["0.5.2-0"]
+["0.5.2-0.5.4"]
 QuantumGradientGenerators = "0.1.1-0.1"
 
-["0.5.3-0"]
+["0.5.3-0.5.4"]
 QuantumControlBase = "0.8.1-0.8"
+
+["0.5.5-0"]
+QuantumControlBase = "0.8.4-0.8"
+QuantumGradientGenerators = "0.1.3-0.1"
+julia = "1.9.0-1"
diff --git a/G/GRAPE/Versions.toml b/G/GRAPE/Versions.toml
index a41e4a7d326ff5d..0c17c7fd147dd94 100644
--- a/G/GRAPE/Versions.toml
+++ b/G/GRAPE/Versions.toml
@@ -42,3 +42,6 @@ git-tree-sha1 = "5a60bcc0a50fa76657b45155a33f8d4f2dc80f97"
 
 ["0.5.4"]
 git-tree-sha1 = "d60aa68d7464369b9ef76047d20bd48818ee6f28"
+
+["0.5.5"]
+git-tree-sha1 = "7e1d40c5d64e2b44c8c04826a715f84d1a9e129e"