diff --git a/I/ITensorNetworksNext/Compat.toml b/I/ITensorNetworksNext/Compat.toml
index b14b71d..ad06024 100644
--- a/I/ITensorNetworksNext/Compat.toml
+++ b/I/ITensorNetworksNext/Compat.toml
@@ -78,5 +78,11 @@ NamedDimsArrays = "0.14.2-0.14"
 ["0.4-0"]
 DataGraphs = "0.4"
 FunctionImplementations = "0.4.1-0.4"
-NamedDimsArrays = "0.14.3-0.14"
 NamedGraphs = "0.11"
+
+["0.4.0"]
+NamedDimsArrays = "0.14.3-0.14"
+
+["0.4.1-0"]
+NamedDimsArrays = "0.14.3-0.15"
+TensorAlgebra = "0.9.2-0.9"
diff --git a/I/ITensorNetworksNext/Deps.toml b/I/ITensorNetworksNext/Deps.toml
index 853b56e..365c50d 100644
--- a/I/ITensorNetworksNext/Deps.toml
+++ b/I/ITensorNetworksNext/Deps.toml
@@ -35,3 +35,6 @@ AlgorithmsInterface = "d1e3940c-cd12-4505-8585-b0a4b322527d"
 
 ["0.3.2-0"]
 FunctionImplementations = "7c7cc465-9c6a-495f-bdd1-f42428e86d0c"
+
+["0.4.1-0"]
+TensorAlgebra = "68bd88dc-f39d-4e12-b2ca-f046b68fcc6a"
diff --git a/I/ITensorNetworksNext/Versions.toml b/I/ITensorNetworksNext/Versions.toml
index d91c739..2bce59f 100644
--- a/I/ITensorNetworksNext/Versions.toml
+++ b/I/ITensorNetworksNext/Versions.toml
@@ -132,3 +132,6 @@ git-tree-sha1 = "806efb5cc7ffc2adca8ead757f6455c93577cc57"
 
 ["0.4.0"]
 git-tree-sha1 = "7e19f1cacfe59ff0a38f67a05cbd25b507f4c897"
+
+["0.4.1"]
+git-tree-sha1 = "545cb70579a839abbda8ad7c3599b0a42461ff22"