diff --git a/Project.toml b/Project.toml
index 5403c13..4a221ec 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "Derive"
 uuid = "a07dfc7f-7d04-4eb5-84cc-a97f051f655a"
 authors = ["ITensor developers <support@itensor.org> and contributors"]
-version = "0.3.3"
+version = "0.3.4"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
diff --git a/src/abstractarrayinterface.jl b/src/abstractarrayinterface.jl
index c10b649..c2a853a 100644
--- a/src/abstractarrayinterface.jl
+++ b/src/abstractarrayinterface.jl
@@ -67,9 +67,20 @@ using BroadcastMapConversion: map_function, map_args
 # TODO: Look into `SparseArrays.capturescalars`:
 # https://github.com/JuliaSparse/SparseArrays.jl/blob/1beb0e4a4618b0399907b0000c43d9f66d34accc/src/higherorderfns.jl#L1092-L1102
 @interface interface::AbstractArrayInterface function Base.copyto!(
-  dest::AbstractArray, bc::Broadcast.Broadcasted
+  a_dest::AbstractArray, bc::Broadcast.Broadcasted
 )
-  return @interface interface map!(map_function(bc), dest, map_args(bc)...)
+  return @interface interface map!(map_function(bc), a_dest, map_args(bc)...)
+end
+
+# This captures broadcast expressions such as `a .= 2`.
+# Ideally this would be handled by `map!(f, a_dest)` but that isn't defined yet:
+# https://github.com/JuliaLang/julia/issues/31677
+# https://github.com/JuliaLang/julia/pull/40632
+@interface interface::AbstractArrayInterface function Base.copyto!(
+  a_dest::AbstractArray, bc::Broadcast.Broadcasted{Broadcast.DefaultArrayStyle{0}}
+)
+  isempty(map_args(bc)) || error("Bad broadcast expression.")
+  return @interface interface map!(map_function(bc), a_dest, a_dest)
 end
 
 # This is defined in this way so we can rely on the Broadcast logic
@@ -86,11 +97,41 @@ end
 # `invoke(Base.map!, Tuple{Any,AbstractArray,Vararg{AbstractArray}}, f, dest, as...)`.
 # TODO: Use `MethodError`?
 @interface ::AbstractArrayInterface function Base.map!(
-  f, dest::AbstractArray, as::AbstractArray...
+  f, a_dest::AbstractArray, a_srcs::AbstractArray...
 )
   return error("Not implemented.")
 end
 
+@interface interface::AbstractArrayInterface function Base.fill!(a::AbstractArray, value)
+  @interface interface map!(Returns(value), a, a)
+end
+
+using ArrayLayouts: zero!
+
+# `zero!` isn't defined in `Base`, but it is defined in `ArrayLayouts`
+# and is useful for sparse array logic, since it can be used to empty
+# the sparse array storage.
+# We use a single function definition to minimize method ambiguities.
+@interface interface::AbstractArrayInterface function ArrayLayouts.zero!(a::AbstractArray)
+  # More generally, the first codepath could be taking if `zero(eltype(a))`
+  # is defined and the elements are immutable.
+  f = eltype(a) <: Number ? Returns(zero(eltype(a))) : zero!
+  return @interface interface map!(f, a, a)
+end
+
+# Specialized version of `Base.zero` written in terms of `ArrayLayouts.zero!`.
+# This is friendlier for sparse arrays since `ArrayLayouts.zero!` makes it easier
+# to handle the logic of dropping all elements of the sparse array when possible.
+# We use a single function definition to minimize method ambiguities.
+@interface interface::AbstractArrayInterface function Base.zero(a::AbstractArray)
+  # More generally, the first codepath could be taking if `zero(eltype(a))`
+  # is defined and the elements are immutable.
+  if eltype(a) <: Number
+    return @interface interface zero!(similar(a))
+  end
+  return @interface interface map(interface(zero), a)
+end
+
 @interface ::AbstractArrayInterface function Base.mapreduce(
   f, op, as::AbstractArray...; kwargs...
 )
diff --git a/src/traits.jl b/src/traits.jl
index d74d7a0..f833ee7 100644
--- a/src/traits.jl
+++ b/src/traits.jl
@@ -27,8 +27,12 @@ function derive(::Val{:AbstractArrayOps}, type)
     Base.all(::$type)
     Base.iszero(::$type)
     Base.real(::$type)
+    Base.fill!(::$type, ::Any)
+    ArrayLayouts.zero!(::$type)
+    Base.zero(::$type)
     Base.permutedims!(::Any, ::$type, ::Any)
     Broadcast.BroadcastStyle(::Type{<:$type})
+    Base.copyto!(::$type, ::Broadcast.Broadcasted{Broadcast.DefaultArrayStyle{0}})
     ArrayLayouts.MemoryLayout(::Type{<:$type})
     LinearAlgebra.mul!(::AbstractMatrix, ::$type, ::$type, ::Number, ::Number)
   end
diff --git a/test/Project.toml b/test/Project.toml
index be2e203..2affdfa 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 ArrayLayouts = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
+BroadcastMapConversion = "4a4adec5-520f-4750-bb37-d5e66b4ddeb2"
 Derive = "a07dfc7f-7d04-4eb5-84cc-a97f051f655a"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 SafeTestsets = "1bc83da4-3b8d-516f-aca4-4fe02f6d838f"
diff --git a/test/basics/SparseArrayDOKs.jl b/test/basics/SparseArrayDOKs.jl
index 44a3e32..224f470 100644
--- a/test/basics/SparseArrayDOKs.jl
+++ b/test/basics/SparseArrayDOKs.jl
@@ -80,6 +80,24 @@ end
 @interface ::SparseArrayInterface function Base.map!(
   f, a_dest::AbstractArray, as::AbstractArray...
 )
+  # TODO: Define a function `preserves_unstored(a_dest, f, as...)`
+  # to determine if a function preserves the stored values
+  # of the destination sparse array.
+  # The current code may be inefficient since it actually
+  # accesses an unstored element, which in the case of a
+  # sparse array of arrays can allocate an array.
+  # Sparse arrays could be expected to define a cheap
+  # unstored element allocator, for example
+  # `get_prototypical_unstored(a::AbstractArray)`.
+  I = first(eachindex(as...))
+  preserves_unstored = iszero(f(map(a -> getunstoredindex(a, I), as)...))
+  if !preserves_unstored
+    # Doesn't preserve unstored values, loop over all elements.
+    for I in eachindex(as...)
+      a_dest[I] = map(f, map(a -> a[I], as)...)
+    end
+  end
+  # TODO: Define `eachstoredindex(as...)`.
   for I in union(eachstoredindex.(as)...)
     a_dest[I] = map(f, map(a -> a[I], as)...)
   end
@@ -230,6 +248,11 @@ end
 eachstoredindex(a::SparseArrayDOK) = keys(storage(a))
 storedlength(a::SparseArrayDOK) = length(eachstoredindex(a))
 
+function ArrayLayouts.zero!(a::SparseArrayDOK)
+  empty!(storage(a))
+  return a
+end
+
 # Specify the interface the type adheres to.
 Derive.interface(::Type{<:SparseArrayDOK}) = SparseArrayInterface()
 
diff --git a/test/basics/test_basics.jl b/test/basics/test_basics.jl
index f408320..5ce444a 100644
--- a/test/basics/test_basics.jl
+++ b/test/basics/test_basics.jl
@@ -1,6 +1,7 @@
-using Test: @test, @testset
+using ArrayLayouts: zero!
 include("SparseArrayDOKs.jl")
 using .SparseArrayDOKs: SparseArrayDOK, storedlength
+using Test: @test, @testset
 
 elts = (Float32, Float64, Complex{Float32}, Complex{Float64})
 @testset "Derive" for elt in elts
@@ -89,4 +90,30 @@ elts = (Float32, Float64, Complex{Float32}, Complex{Float64})
   @test b == a
   @test b[1, 2] == 12
   @test storedlength(b) == 1
+
+  a = SparseArrayDOK{elt}(2, 2)
+  a .= 2
+  @test storedlength(a) == length(a)
+  for I in eachindex(a)
+    @test a[I] == 2
+  end
+
+  a = SparseArrayDOK{elt}(2, 2)
+  fill!(a, 2)
+  @test storedlength(a) == length(a)
+  for I in eachindex(a)
+    @test a[I] == 2
+  end
+
+  a = SparseArrayDOK{elt}(2, 2)
+  a[1, 2] = 12
+  zero!(a)
+  @test iszero(a)
+  @test iszero(storedlength(a))
+
+  a = SparseArrayDOK{elt}(2, 2)
+  a[1, 2] = 12
+  b = zero(a)
+  @test iszero(b)
+  @test iszero(storedlength(b))
 end