diff --git a/Project.toml b/Project.toml
index 9b821571..1d9c1c45 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "QuantumOpticsBase"
 uuid = "4f57444f-1401-5e15-980d-4471b28d5678"
-version = "0.4.5"
+version = "0.4.6"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
diff --git a/src/operators_sparse.jl b/src/operators_sparse.jl
index 7c12a240..173a57d3 100644
--- a/src/operators_sparse.jl
+++ b/src/operators_sparse.jl
@@ -85,3 +85,18 @@ mul!(result::DenseOpType{B1,B3},M::SparseOpType{B1,B2},b::DenseOpType{B2,B3},alp
 mul!(result::DenseOpType{B1,B3},a::DenseOpType{B1,B2},M::SparseOpType{B2,B3},alpha,beta) where {B1,B2,B3} = (gemm!(alpha,a.data,M.data,beta,result.data); result)
 mul!(result::Ket{B1},M::SparseOpPureType{B1,B2},b::Ket{B2},alpha,beta) where {B1,B2} = (gemv!(alpha,M.data,b.data,beta,result.data); result)
 mul!(result::Bra{B2},b::Bra{B1},M::SparseOpPureType{B1,B2},alpha,beta) where {B1,B2} = (gemv!(alpha,b.data,M.data,beta,result.data); result)
+
+# Ensure that Eye is not densified # TODO - some of this can still be special cased on Eye or lazy embed
++(op1::EyeOpType{BL,BR},op2::SparseOpType{BL,BR}) where {BL,BR} = sparse(op1) + op2
+-(op1::EyeOpType{BL,BR},op2::SparseOpType{BL,BR}) where {BL,BR} = sparse(op1) - op2
++(op1::SparseOpType{BL,BR},op2::EyeOpType{BL,BR}) where {BL,BR} = sparse(op2) + op1
+-(op2::SparseOpType{BL,BR},op1::EyeOpType{BL,BR}) where {BL,BR} = op2 - sparse(op1)
++(op1::EyeOpType{BL,BR},op2::EyeOpType{BL,BR}) where {BL,BR} = sparse(op1) + sparse(op1)
+-(op2::EyeOpType{BL,BR},op1::EyeOpType{BL,BR}) where {BL,BR} = sparse(op2) - sparse(op1)
+-(op::EyeOpType) = -sparse(op)
+*(op::EyeOpType,a::T) where {T<:Number} = a*sparse(op)
+*(a::T,op::EyeOpType) where {T<:Number} = a*sparse(op)
+/(op::EyeOpType,a::T) where {T<:Number} = sparse(op)/a
+tensor(a::EyeOpType, b::SparseOpType) = tensor(sparse(a),b)
+tensor(a::SparseOpType, b::EyeOpType) = tensor(a,sparse(b))
+tensor(a::EyeOpType, b::EyeOpType) = tensor(sparse(a),sparse(b))
\ No newline at end of file
diff --git a/test/test_operators_sparse.jl b/test/test_operators_sparse.jl
index 5e1c50cc..a14caf92 100644
--- a/test/test_operators_sparse.jl
+++ b/test/test_operators_sparse.jl
@@ -118,6 +118,24 @@ IEye = identityoperator(b_l)
 Icomp = identityoperator(b1a) ⊗ identityoperator(b2a) ⊗ identityoperator(b3a)
 @test IEye == Icomp
 
+for _IEye in (identityoperator(b_l), identityoperator(b1a, b1b))
+    for IEye in (_IEye, -_IEye, _IEye', dagger(_IEye))
+        @test isa(2*IEye, SparseOpType)
+        @test isa(IEye*2, SparseOpType)
+        @test isa(IEye/2, SparseOpType)
+        @test isa(IEye+sparse(IEye), SparseOpType)
+        @test isa(sparse(IEye)+IEye, SparseOpType)
+        @test isa(sparse(IEye)-IEye, SparseOpType)
+        @test isa(IEye-sparse(IEye), SparseOpType)
+        @test isa(IEye+IEye, SparseOpType)
+        @test isa(IEye-IEye, SparseOpType)
+        @test isa(-IEye, SparseOpType)
+        @test isa(tensor(IEye, sparse(IEye)), SparseOpType)
+        @test isa(tensor(sparse(IEye), IEye), SparseOpType)
+        @test isa(tensor(IEye, IEye), SparseOpType)
+    end
+end
+
 # Test tr and normalize
 op = sparse(DenseOperator(GenericBasis(3), [1 3 2;5 2 2;-1 2 5]))
 @test 8 == tr(op)