diff --git a/Project.toml b/Project.toml
index 48d634e..f8c75b4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ITensorBase"
 uuid = "4795dd04-0d67-49bb-8f44-b89c448a1dc7"
-version = "0.16.0"
+version = "0.16.1"
 authors = ["ITensor developers <support@itensor.org> and contributors"]
 
 [workspace]
@@ -40,7 +40,7 @@ MatrixAlgebraKit = "0.2, 0.3, 0.4, 0.5, 0.6"
 Mooncake = "0.4.202, 0.5"
 Random = "1.10"
 SimpleTraits = "0.9.4"
-TensorAlgebra = "0.23"
+TensorAlgebra = "0.23.1"
 TensorKit = "0.17"
 TensorKitSectors = "0.3.9"
 UUIDs = "1.10"
diff --git a/src/abstractnamedtensor.jl b/src/abstractnamedtensor.jl
index 6399f46..9167f31 100644
--- a/src/abstractnamedtensor.jl
+++ b/src/abstractnamedtensor.jl
@@ -274,10 +274,12 @@ Base.ndims(a::AbstractNamedTensor) = TensorAlgebra.ndims(unnamed(a))
 # Circumvent issue when eltype isn't known at compile time.
 Base.eltype(a::AbstractNamedTensor) = eltype(unnamed(a))
 
-# In-place `zero!`/`scale!`/`scaleadd!` of a named tensor, delegating to the unnamed parent array.
-# `scaleadd!` aligns `x` to `y`'s dimension order by name (the named analogue of the
+# In-place `zero!`/`scale!`/`scaleadd!`/`twist!` of a named tensor, delegating to the unnamed
+# parent array. `scaleadd!` aligns `x` to `y`'s dimension order by name (the named analogue of the
 # identity-permutation `scaleadd!` on plain arrays) and does the block-wise permute-add on the
 # parents, so it never routes through a broadcast that aliases the destination with an operand.
+# `twist!` takes the dimensions to twist as names or indices rather than as positions, so a caller
+# does not have to know the parent's dimension order.
 TensorAlgebra.zero!(a::AbstractNamedTensor) = (zero!(unnamed(a)); a)
 function TensorAlgebra.scale!(a::AbstractNamedTensor, α::Number)
     TensorAlgebra.scale!(unnamed(a), α)
@@ -289,6 +291,10 @@ function TensorAlgebra.scaleadd!(
     TensorAlgebra.scaleadd!(unnamed(y), unnamed(x, names(y)), α, β)
     return y
 end
+function TensorAlgebra.twist!(a::AbstractNamedTensor, inds)
+    TensorAlgebra.twist!(unnamed(a), findnames(a, inds))
+    return a
+end
 
 # Name-aware `VectorInterface` methods so ITensors can drive iterative solvers such as
 # `KrylovKit.eigsolve`, which push their Krylov vectors through `VectorInterface`. The generic
diff --git a/test/Project.toml b/test/Project.toml
index 6df5ec2..a73821f 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -27,7 +27,7 @@ path = ".."
 Adapt = "4"
 Aqua = "0.8.9"
 Combinatorics = "1"
-GradedArrays = "0.17"
+GradedArrays = "0.17.2"
 ITensorBase = "0.16"
 ITensorPkgSkeleton = "0.3.42"
 JLArrays = "0.2, 0.3"
@@ -38,7 +38,7 @@ Random = "1.10"
 SafeTestsets = "0.1"
 StableRNGs = "1"
 Suppressor = "0.2"
-TensorAlgebra = "0.23"
+TensorAlgebra = "0.23.1"
 TensorKit = "0.17"
 TensorKitSectors = "0.3.9"
 Test = "1.10"
diff --git a/test/test_gradedarraysext.jl b/test/test_gradedarraysext.jl
index 240a9d8..c686f52 100644
--- a/test/test_gradedarraysext.jl
+++ b/test/test_gradedarraysext.jl
@@ -1,8 +1,10 @@
 using GradedArrays: U1, fU1, sectors
-using ITensorBase: ITensorBase, ITensor, Index, align, inds, prime, space, unnamed, uuid
+using ITensorBase:
+    ITensorBase, ITensor, Index, align, inds, name, prime, space, unnamed, uuid
 using StableRNGs: StableRNG
 using TensorAlgebra: TensorAlgebra, dual, isdual, matricize, project, project_aux,
-    tryproject, tryproject_aux, unchecked_project, unchecked_project_aux, unmatricize
+    tryproject, tryproject_aux, twist!, unchecked_project, unchecked_project_aux,
+    unmatricize
 using TensorKitSectors: FermionNumber
 using Test: @test, @test_throws, @testset
 
@@ -196,3 +198,35 @@ end
     @test sprint(show, "text/plain", dual(i)) ==
         "dual(Index([U1(0) => 1, U1(1) => 2]|id=$(first(string(uuid(i)), 8))))"
 end
+
+# `twist!` on a named tensor names the dimensions to twist, so it has to map those names to the
+# parent's positions. Two legs are not enough to see that mapping: a flux-zero two-leg tensor has
+# its only odd block odd in both legs, so twisting either one flips the same entries. These three
+# legs carry blocks that are odd in a different pair of legs each, so twisting `i`, `j` or `k`
+# gives three different results and a lookup that went by position would show up.
+@testset "GradedArraysExt twist!" begin
+    rng = StableRNG(1234)
+    i = Index([fU1(0) => 1, fU1(1) => 1]; tags = "i")
+    j = Index([fU1(0) => 1, fU1(1) => 1]; tags = "j")
+    k = Index([fU1(1) => 1, fU1(2) => 1]; tags = "k")
+    a = randn(rng, (i, j), (k,))
+
+    # The sharpest check: naming a dimension agrees with twisting the parent at its position.
+    b = copy(a)
+    twist!(unnamed(b), (2,))
+    @test twist!(copy(a), (inds(a)[2],)) == b
+
+    @test twist!(copy(a), (i,)) != twist!(copy(a), (j,))
+    @test twist!(copy(a), (j,)) != twist!(copy(a), (k,))
+    @test twist!(copy(a), (i,)) != twist!(copy(a), (k,))
+    # A name and the index carrying it select the same dimension.
+    @test twist!(copy(a), (j,)) == twist!(copy(a), (name(j),))
+    # Twisting dimensions together is the same as twisting them one at a time.
+    @test twist!(copy(a), (i, k)) == twist!(twist!(copy(a), (i,)), (k,))
+    # Twisting the same dimension twice squares a sign, so it restores the original.
+    @test twist!(twist!(copy(a), (j,)), (j,)) == a
+    # It mutates and returns the tensor it was given.
+    c = copy(a)
+    @test twist!(c, (j,)) === c
+    @test twist!(copy(a), ()) == a
+end