diff --git a/src/FormNetworks/abstractformnetwork.jl b/src/FormNetworks/abstractformnetwork.jl
index e23424ba..83ce06ed 100644
--- a/src/FormNetworks/abstractformnetwork.jl
+++ b/src/FormNetworks/abstractformnetwork.jl
@@ -34,13 +34,13 @@ end
 function Graphs.induced_subgraph(f::AbstractFormNetwork, vertices::Vector)
   return induced_subgraph(tensornetwork(f), vertices)
 end
-function bra(f::AbstractFormNetwork)
+function bra_network(f::AbstractFormNetwork)
   return rename_vertices(inv_vertex_map(f), first(induced_subgraph(f, bra_vertices(f))))
 end
-function ket(f::AbstractFormNetwork)
+function ket_network(f::AbstractFormNetwork)
   return rename_vertices(inv_vertex_map(f), first(induced_subgraph(f, ket_vertices(f))))
 end
-function operator(f::AbstractFormNetwork)
+function operator_network(f::AbstractFormNetwork)
   return rename_vertices(
     inv_vertex_map(f), first(induced_subgraph(f, operator_vertices(f)))
   )
diff --git a/src/FormNetworks/bilinearformnetwork.jl b/src/FormNetworks/bilinearformnetwork.jl
index ecbbe01b..a502ecc0 100644
--- a/src/FormNetworks/bilinearformnetwork.jl
+++ b/src/FormNetworks/bilinearformnetwork.jl
@@ -48,5 +48,5 @@ function BilinearFormNetwork(
 )
   operator_inds = union_all_inds(siteinds(bra), siteinds(ket))
   O = delta_network(operator_inds)
-  return BilinearFormNetwork(bra, O, ket; kwargs...)
+  return BilinearFormNetwork(O, bra, ket; kwargs...)
 end
diff --git a/src/FormNetworks/quadraticformnetwork.jl b/src/FormNetworks/quadraticformnetwork.jl
index fff50740..3189d786 100644
--- a/src/FormNetworks/quadraticformnetwork.jl
+++ b/src/FormNetworks/quadraticformnetwork.jl
@@ -1,10 +1,11 @@
 default_index_map = prime
 default_inv_index_map = noprime
 
-struct QuadraticFormNetwork{V,FormNetwork<:BilinearFormNetwork{V},IndexMap} <:
+struct QuadraticFormNetwork{V,FormNetwork<:BilinearFormNetwork{V},IndexMap,InvIndexMap} <:
        AbstractFormNetwork{V}
   formnetwork::FormNetwork
   dual_index_map::IndexMap
+  dual_inv_index_map::InvIndexMap
 end
 
 bilinear_formnetwork(qf::QuadraticFormNetwork) = qf.formnetwork
@@ -13,10 +14,11 @@ function QuadraticFormNetwork(
   bra::AbstractITensorNetwork,
   ket::AbstractITensorNetwork;
   dual_index_map=default_index_map,
+  dual_inv_index_map=default_inv_index_map,
   kwargs...,
 )
   return QuadraticFormNetwork(
-    BilinearFormNetwork(operator, bra, ket; kwargs...), dual_index_map
+    BilinearFormNetwork(operator, bra, ket; kwargs...), dual_index_map, dual_inv_index_map
   )
 end
 
@@ -37,27 +39,37 @@ for f in [
 end
 
 dual_index_map(qf::QuadraticFormNetwork) = qf.dual_index_map
+dual_inv_index_map(qf::QuadraticFormNetwork) = qf.dual_inv_index_map
 function copy(qf::QuadraticFormNetwork)
-  return QuadraticFormNetwork(copy(bilinear_formnetwork(qf)), dual_index_map(qf))
+  return QuadraticFormNetwork(
+    copy(bilinear_formnetwork(qf)), dual_index_map(qf), dual_inv_index_map(qf)
+  )
 end
 
 function QuadraticFormNetwork(
   operator::AbstractITensorNetwork,
   ket::AbstractITensorNetwork;
   dual_index_map=default_index_map,
+  dual_inv_index_map=default_inv_index_map,
   kwargs...,
 )
   bra = map_inds(dual_index_map, dag(ket))
-  return QuadraticFormNetwork(operator, bra, ket; dual_index_map, kwargs...)
+  blf = BilinearFormNetwork(operator, bra, ket; kwargs...)
+  return QuadraticFormNetwork(blf, dual_index_map, dual_inv_index_map)
 end
 
 function QuadraticFormNetwork(
-  ket::AbstractITensorNetwork; dual_index_map=default_index_map, kwargs...
+  ket::AbstractITensorNetwork;
+  dual_index_map=default_index_map,
+  dual_inv_index_map=default_inv_index_map,
+  kwargs...,
 )
   s = siteinds(ket)
   operator_inds = union_all_inds(s, dual_index_map(s; links=[]))
   operator = delta_network(operator_inds)
-  return QuadraticFormNetwork(operator, ket; kwargs...)
+  bra = map_inds(dual_index_map, dag(ket))
+  blf = BilinearFormNetwork(operator, bra, ket; kwargs...)
+  return QuadraticFormNetwork(blf, dual_index_map, dual_inv_index_map)
 end
 
 function bra_ket_vertices(qf::QuadraticFormNetwork, state_vertices::Vector)
diff --git a/test/test_forms.jl b/test/test_forms.jl
index c391bd53..74982629 100644
--- a/test/test_forms.jl
+++ b/test/test_forms.jl
@@ -9,9 +9,9 @@ using ITensorNetworks:
   bra_vertex_map,
   ket_vertex_map,
   dual_index_map,
-  bra,
-  ket,
-  operator
+  bra_network,
+  ket_network,
+  operator_network
 using Test
 using Random
 
@@ -30,9 +30,9 @@ using Random
   @test nv(blf) == nv(ψket) + nv(ψbra) + nv(A)
   @test isempty(externalinds(blf))
 
-  @test underlying_graph(ket(blf)) == underlying_graph(ψket)
-  @test underlying_graph(operator(blf)) == underlying_graph(A)
-  @test underlying_graph(bra(blf)) == underlying_graph(ψbra)
+  @test underlying_graph(ket_network(blf)) == underlying_graph(ψket)
+  @test underlying_graph(operator_network(blf)) == underlying_graph(A)
+  @test underlying_graph(bra_network(blf)) == underlying_graph(ψbra)
 
   qf = QuadraticFormNetwork(A, ψket)
   @test nv(qf) == 2 * nv(ψbra) + nv(A)
@@ -46,6 +46,6 @@ using Random
     dual_index_map(qf_updated)(dag(new_tensor))
   @test tensornetwork(qf_updated)[ket_vertex_map(qf_updated)(v)] ≈ new_tensor
 
-  @test underlying_graph(ket(qf)) == underlying_graph(ψket)
-  @test underlying_graph(operator(qf)) == underlying_graph(A)
+  @test underlying_graph(ket_network(qf)) == underlying_graph(ψket)
+  @test underlying_graph(operator_network(qf)) == underlying_graph(A)
 end