diff --git a/Project.toml b/Project.toml
index 51e51efdf..c3efb7177 100644
--- a/Project.toml
+++ b/Project.toml
@@ -33,8 +33,8 @@ MPSKitAdaptExt = "Adapt"
 Accessors = "0.1"
 Adapt = "4"
 Aqua = "0.8.9"
-BlockTensorKit = "0.3.8"
-CUDA = "5.9"
+BlockTensorKit = "0.3.10"
+CUDA = "6"
 Combinatorics = "1"
 Compat = "3.47, 4.10"
 DocStringExtensions = "0.9.3"
@@ -51,14 +51,14 @@ Plots = "1.40"
 Printf = "1"
 Random = "1"
 RecipesBase = "1.1"
-TensorKit = "0.16.3"
-TensorKitManifolds = "0.7"
+TensorKit = "0.17"
+TensorKitManifolds = "0.8"
 TensorKitTensors = "0.2"
 TensorOperations = "5.5.1"
 Test = "1"
 TestExtras = "0.3"
 VectorInterface = "0.2, 0.3, 0.4, 0.5"
-cuTENSOR = "2.3"
+cuTENSOR = "6"
 julia = "1.10"
 
 [extras]
@@ -74,5 +74,11 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 TestExtras = "5ed8adda-3752-4e41-b88a-e8b09835ee3a"
 cuTENSOR = "011b41b2-24ef-40a8-b3eb-fa098493e9e1"
 
+[sources]
+BlockTensorKit = {url = "https://github.com/kshyatt/BlockTensorKit.jl", rev="ksh/braidingtensor"}
+TensorKit = {url = "https://github.com/QuantumKitHub/TensorKit.jl", rev="ld-fixes"}
+TensorKitManifolds = {url = "https://github.com/QuantumKitHub/TensorKitManifolds.jl", rev="ksh/bump"}
+TensorKitTensors = {url = "https://github.com/QuantumKitHub/TensorKitTensors.jl", rev="ksh/compat"}
+
 [targets]
 test = ["Aqua", "Adapt", "CUDA", "cuTENSOR", "Pkg", "Test", "TestExtras", "Plots", "Combinatorics", "ParallelTestRunner", "TensorKitTensors"]
diff --git a/src/operators/jordanmpotensor.jl b/src/operators/jordanmpotensor.jl
index 04c4ee1cb..8131f90fb 100644
--- a/src/operators/jordanmpotensor.jl
+++ b/src/operators/jordanmpotensor.jl
@@ -49,10 +49,10 @@ struct JordanMPOTensor{
     # constructor from data
     function JordanMPOTensor{E, S, TA, TB, TC, TD}(
             V::TensorMapSumSpace,
-            A::SparseBlockTensorMap{TA, E, S, 2, 2},
-            B::SparseBlockTensorMap{TB, E, S, 2, 1},
-            C::SparseBlockTensorMap{TC, E, S, 1, 2},
-            D::SparseBlockTensorMap{TD, E, S, 1, 1}
+            A::SparseBlockTensorMap{<:Any, <:Any, S, 2, 2},
+            B::SparseBlockTensorMap{<:Any, <:Any, S, 2, 1},
+            C::SparseBlockTensorMap{<:Any, <:Any, S, 1, 2},
+            D::SparseBlockTensorMap{<:Any, <:Any, S, 1, 1}
         ) where {E, S, TA, TB, TC, TD}
         return new{E, S, TA, TB, TC, TD}(V, A, B, C, D)
     end
diff --git a/src/utility/utility.jl b/src/utility/utility.jl
index 973f37889..670439523 100644
--- a/src/utility/utility.jl
+++ b/src/utility/utility.jl
@@ -251,7 +251,7 @@ function mul_front!(
     cp = allocator_checkpoint!(allocator)
 
     Ablocks = blocks(A)
-    Bstructure = TensorKit.fusionblockstructure(space(B))
+    Bstructure = TensorKit.subblockstructure(space(B))
     for ((f₁, f₂), c) in subblocks(C)
         # fetch A block
         u = first(f₁.uncoupled)
@@ -259,7 +259,7 @@ function mul_front!(
         isempty(a) && (scale!(c, β); continue)
 
         # fetch B block
-        haskey(Bstructure.fusiontreeindices, (f₁, f₂)) || (scale!(c, β); continue)
+        haskey(Bstructure, (f₁, f₂)) || (scale!(c, β); continue)
         b = B[f₁, f₂]
 
         tensorcontract!(
@@ -299,7 +299,7 @@ function mul_tail!(
 
     cp = allocator_checkpoint!(allocator)
 
-    Astructure = TensorKit.fusionblockstructure(space(A))
+    Astructure = TensorKit.subblockstructure(space(A))
     Bblocks = blocks(B)
     for ((f₁, f₂), c) in subblocks(C)
         # fetch B block
@@ -308,7 +308,7 @@ function mul_tail!(
         isempty(b) && (scale!(c, β); continue)
 
         # fetch A block
-        haskey(Astructure.fusiontreeindices, (f₁, f₂)) || (scale!(c, β); continue)
+        haskey(Astructure, (f₁, f₂)) || (scale!(c, β); continue)
         a = A[f₁, f₂]
 
         tensorcontract!(