diff --git a/Project.toml b/Project.toml
index a2cd740d..877465cc 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "ITensorNetworks"
 uuid = "2919e153-833c-4bdc-8836-1ea460a35fc7"
 authors = ["Matthew Fishman <mfishman@flatironinstitute.org>, Joseph Tindall <jtindall@flatironinstitute.org> and contributors"]
-version = "0.11.12"
+version = "0.11.13"
 
 [deps]
 AbstractTrees = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
@@ -36,12 +36,14 @@ TimerOutputs = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
 TupleTools = "9d95972d-f1c8-5527-a6e0-b4b365fa01f6"
 
 [weakdeps]
+Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 EinExprs = "b1794770-133b-4de1-afb4-526377e9f4c5"
 GraphsFlows = "06909019-6f44-4949-96fc-b9d9aaa02889"
 OMEinsumContractionOrders = "6f22d1fd-8eed-4bb7-9776-e7d684900715"
 Observers = "338f10d5-c7f1-4033-a7d1-f9dec39bcaa0"
 
 [extensions]
+ITensorNetworksAdaptExt = "Adapt"
 ITensorNetworksEinExprsExt = "EinExprs"
 ITensorNetworksGraphsFlowsExt = "GraphsFlows"
 ITensorNetworksOMEinsumContractionOrdersExt = "OMEinsumContractionOrders"
@@ -49,6 +51,7 @@ ITensorNetworksObserversExt = "Observers"
 
 [compat]
 AbstractTrees = "0.4.4"
+Adapt = "4"
 Combinatorics = "1"
 Compat = "3, 4"
 DataGraphs = "0.2.3"
@@ -82,6 +85,7 @@ TupleTools = "1.4"
 julia = "1.10"
 
 [extras]
+Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 EinExprs = "b1794770-133b-4de1-afb4-526377e9f4c5"
 GraphsFlows = "06909019-6f44-4949-96fc-b9d9aaa02889"
 OMEinsumContractionOrders = "6f22d1fd-8eed-4bb7-9776-e7d684900715"
diff --git a/ext/ITensorNetworksAdaptExt/ITensorNetworksAdaptExt.jl b/ext/ITensorNetworksAdaptExt/ITensorNetworksAdaptExt.jl
new file mode 100644
index 00000000..0051da93
--- /dev/null
+++ b/ext/ITensorNetworksAdaptExt/ITensorNetworksAdaptExt.jl
@@ -0,0 +1,14 @@
+module ITensorNetworksAdaptExt
+using Adapt: Adapt, adapt
+using ITensorNetworks: AbstractITensorNetwork, map_vertex_data_preserve_graph
+function Adapt.adapt_structure(to, tn::AbstractITensorNetwork)
+  # TODO: Define and use:
+  #
+  # @preserve_graph map_vertex_data(adapt(to), tn)
+  #
+  # or just:
+  #
+  # @preserve_graph map(adapt(to), tn)
+  return map_vertex_data_preserve_graph(adapt(to), tn)
+end
+end
diff --git a/test/Project.toml b/test/Project.toml
index 3dd73b41..70eb14d3 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -1,5 +1,6 @@
 [deps]
 AbstractTrees = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
+Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 Compat = "34da2185-b29b-5c13-b0c7-acf172513d20"
 DataGraphs = "b5a273c3-7e6c-41f6-98bd-8d7f1525a36a"
 Dictionaries = "85a47980-9c8c-11e8-2b9f-f7ca1fa99fb4"
diff --git a/test/test_ext/Project.toml b/test/test_ext/Project.toml
new file mode 100644
index 00000000..4d124728
--- /dev/null
+++ b/test/test_ext/Project.toml
@@ -0,0 +1,5 @@
+[deps]
+Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+ITensorNetworks = "2919e153-833c-4bdc-8836-1ea460a35fc7"
+ITensors = "9136182c-28ba-11e9-034c-db9fb085ebd5"
+NamedGraphs = "678767b0-92e7-4007-89e4-4527a8725b19"
diff --git a/test/test_ext/test_itensornetworksadaptext.jl b/test/test_ext/test_itensornetworksadaptext.jl
new file mode 100644
index 00000000..0578511a
--- /dev/null
+++ b/test/test_ext/test_itensornetworksadaptext.jl
@@ -0,0 +1,23 @@
+@eval module $(gensym())
+using Adapt: Adapt, adapt
+using NamedGraphs.NamedGraphGenerators: named_grid
+using ITensorNetworks: random_tensornetwork, siteinds
+using ITensors: ITensors
+using Test: @test, @testset
+
+struct SinglePrecisionAdaptor end
+single_precision(::Type{<:AbstractFloat}) = Float32
+single_precision(type::Type{<:Complex}) = complex(single_precision(real(type)))
+Adapt.adapt_storage(::SinglePrecisionAdaptor, x) = single_precision(eltype(x)).(x)
+
+@testset "Test ITensorNetworksAdaptExt (eltype=$elt)" for elt in (
+  Float32, Float64, Complex{Float32}, Complex{Float64}
+)
+  g = named_grid((2, 2))
+  s = siteinds("S=1/2", g)
+  tn = random_tensornetwork(elt, s)
+  @test ITensors.scalartype(tn) === elt
+  tn′ = adapt(SinglePrecisionAdaptor(), tn)
+  @test ITensors.scalartype(tn′) === single_precision(elt)
+end
+end