diff --git a/src/StatesZoo/StatesZoo.jl b/src/StatesZoo/StatesZoo.jl
index 8c5f100e..7d32a35f 100644
--- a/src/StatesZoo/StatesZoo.jl
+++ b/src/StatesZoo/StatesZoo.jl
@@ -8,7 +8,7 @@ import QuantumSymbolics: express_nolookup
 using LinearAlgebra
 import LinearAlgebra: tr
 
-export SingleRailMidSwapBellU, SingleRailMidSwapBellN, DualRailMidSwapBellU, DualRailMidSwapBellN, ZALMSpinPairU, ZALMSpinPairN, tr
+export SingleRailMidSwapBellW, SingleRailMidSwapBell, DualRailMidSwapBellW, DualRailMidSwapBell, ZALMSpinPairW, ZALMSpinPair, tr
 
 abstract type AbstractTwoQubitState <: QuantumSymbolics.AbstractTwoQubitOp end #For representing density matrices
 Base.show(io::IO, x::AbstractTwoQubitState) = print(io, "$(symbollabel(x))")
diff --git a/src/StatesZoo/single_dual_rail_midswap/single_dual_rail_midswap.jl b/src/StatesZoo/single_dual_rail_midswap/single_dual_rail_midswap.jl
index d922d881..10e5e1ac 100644
--- a/src/StatesZoo/single_dual_rail_midswap/single_dual_rail_midswap.jl
+++ b/src/StatesZoo/single_dual_rail_midswap/single_dual_rail_midswap.jl
@@ -35,7 +35,9 @@ Fields:
 $FIELDS
 
 Generates the unnormalized spin-spin density matrix for linear photonic entanglement swap 
-with emissive memories emitting single rail photonic qubits from the paper [prajit2023entangling](@cite)
+with emissive memories emitting single rail photonic qubits from the paper [prajit2023entangling](@cite).
+Since the matrix is 'weighted' by the probability for success, it is suffixed with a W to distinguish it 
+from the normalized object `SingleRailMidSwapBell`.
 It takes the following parameters:
 - eA, eB: Link efficiencies for memories A and B upto the swap (include link loss, detector efficiency, etc.)
 - gA, gB: Memory initialization parameter for memories A and B
@@ -45,12 +47,12 @@ It takes the following parameters:
 ```jldoctest
 julia> r = Register(2)
 
-julia> initialize!(r[1:2], SingleRailMidSwapBellU(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
+julia> initialize!(r[1:2], SingleRailMidSwapBellW(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
 
 julia> observable(r[1:2], Z⊗Z)
 ```
 """
-@withmetadata struct SingleRailMidSwapBellU <: AbstractTwoQubitState
+@withmetadata struct SingleRailMidSwapBellW <: AbstractTwoQubitState
     eA::Float64
     eB::Float64
     gA::Float64
@@ -59,7 +61,7 @@ julia> observable(r[1:2], Z⊗Z)
     Vis::Float64
 end
 
-symbollabel(x::SingleRailMidSwapBellU) = "ρˢʳᵐˢᵁ"
+symbollabel(x::SingleRailMidSwapBellW) = "ρˢʳᵐˢᵂ"
 
 
 """
@@ -80,12 +82,12 @@ It takes the following parameters:
 ```jldoctest
 julia> r = Register(2)
 
-julia> initialize!(r[1:2], SingleRailMidSwapBellN(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
+julia> initialize!(r[1:2], SingleRailMidSwapBell(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
 
 julia> observable(r[1:2], Z⊗Z)
 ```
 """
-@withmetadata struct SingleRailMidSwapBellN <: AbstractTwoQubitState
+@withmetadata struct SingleRailMidSwapBell <: AbstractTwoQubitState
     eA::Float64
     eB::Float64
     gA::Float64
@@ -94,7 +96,7 @@ julia> observable(r[1:2], Z⊗Z)
     Vis::Float64
 end
 
-symbollabel(x::SingleRailMidSwapBellN) = "ρˢʳᵐˢᴺ"
+symbollabel(x::SingleRailMidSwapBell) = "ρˢʳᵐˢ"
 
 
 """
@@ -105,7 +107,9 @@ Fields:
 $FIELDS
 
 Generates the unnormalized spin-spin density matrix for linear photonic entanglement swap with emissive
- memories emitting dual rail photonic qubits from the paper [prajit2023entangling](@cite).
+ memories emitting dual rail photonic qubits from the paper [prajit2023entangling](@cite). 
+ Since the matrix is 'weighted' by the probability for success, it is suffixed with a W to distinguish it 
+from the normalized object `DualRailMidSwapBell`.
  It takes the following parameters:
  - eA, eB: Link efficiencies for memories A and B upto the swap (include link loss, detector efficiency, etc.)
 - gA, gB: Memory initialization parameter for memories A and B 
@@ -115,12 +119,12 @@ Generates the unnormalized spin-spin density matrix for linear photonic entangle
 ```jldoctest
 julia> r = Register(2)
 
-julia> initialize!(r[1:2], DualRailMidSwapBellU(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
+julia> initialize!(r[1:2], DualRailMidSwapBellW(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
 
 julia> observable(r[1:2], Z⊗Z)
 ```
 """
-@withmetadata struct DualRailMidSwapBellU <: AbstractTwoQubitState
+@withmetadata struct DualRailMidSwapBellW <: AbstractTwoQubitState
     eA::Float64
     eB::Float64
     gA::Float64
@@ -129,7 +133,7 @@ julia> observable(r[1:2], Z⊗Z)
     Vis::Float64
 end
 
-symbollabel(x::DualRailMidSwapBellU) = "ρᵈʳᵐˢᵁ"
+symbollabel(x::DualRailMidSwapBellW) = "ρᵈʳᵐˢᵂ"
 
 
 """
@@ -150,12 +154,12 @@ Generates the normalized spin-spin density matrix for linear photonic entangleme
 ```jldoctest
 julia> r = Register(2)
 
-julia> initialize!(r[1:2], DualRailMidSwapBellN(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
+julia> initialize!(r[1:2], DualRailMidSwapBell(0.9, 0.9, 0.5, 0.5, 1e-8, 0.99))
 
 julia> observable(r[1:2], Z⊗Z)
 ```
 """
-@withmetadata struct DualRailMidSwapBellN <: AbstractTwoQubitState
+@withmetadata struct DualRailMidSwapBell <: AbstractTwoQubitState
     eA::Float64
     eB::Float64
     gA::Float64
@@ -164,32 +168,32 @@ julia> observable(r[1:2], Z⊗Z)
     Vis::Float64
 end
 
-symbollabel(x::DualRailMidSwapBellN) = "ρᵈʳᵐˢᴺ"
+symbollabel(x::DualRailMidSwapBell) = "ρᵈʳᵐˢ"
 
 
 ## express
 
-function express_nolookup(x::SingleRailMidSwapBellU, ::QuantumOpticsRepr)
+function express_nolookup(x::SingleRailMidSwapBellW, ::QuantumOpticsRepr)
     data = midswap_single_rail(x.eA, x.eB, x.gA, x.gB, x.Pd, x.Vis)
     return SparseOperator(_bspin⊗_bspin, Complex.(data))
 end
 
-function express_nolookup(x::SingleRailMidSwapBellN, ::QuantumOpticsRepr)
+function express_nolookup(x::SingleRailMidSwapBell, ::QuantumOpticsRepr)
     data = midswap_single_rail(x.eA, x.eB, x.gA, x.gB, x.Pd, x.Vis)
     return SparseOperator(_bspin⊗_bspin, Complex.(data/tr(data)))
 end
 
-function express_nolookup(x::DualRailMidSwapBellU, ::QuantumOpticsRepr)
+function express_nolookup(x::DualRailMidSwapBellW, ::QuantumOpticsRepr)
     data = midswap_dual_rail(x.eA, x.eB, x.gA, x.gB, x.Pd, x.Vis)
     return SparseOperator(_bspin⊗_bspin, Complex.(data))
 end
 
-function express_nolookup(x::DualRailMidSwapBellN, ::QuantumOpticsRepr)
+function express_nolookup(x::DualRailMidSwapBell, ::QuantumOpticsRepr)
     data = midswap_dual_rail(x.eA, x.eB, x.gA, x.gB, x.Pd, x.Vis)
     return SparseOperator(_bspin⊗_bspin, Complex.(data/tr(data)))
 end
 
 # Symbolic trace
 
-tr(::SingleRailMidSwapBellN) = 1
-tr(::DualRailMidSwapBellN) = 1
\ No newline at end of file
+tr(::SingleRailMidSwapBell) = 1
+tr(::DualRailMidSwapBell) = 1
\ No newline at end of file
diff --git a/src/StatesZoo/zalm_pair/zalm_pair.jl b/src/StatesZoo/zalm_pair/zalm_pair.jl
index b6727ca7..261b2553 100644
--- a/src/StatesZoo/zalm_pair/zalm_pair.jl
+++ b/src/StatesZoo/zalm_pair/zalm_pair.jl
@@ -569,7 +569,8 @@ Fields:
 $FIELDS
 
 Generate symbolic object for the unnormalized spin-spin density matrix for a 
-cascaded source swapped with emissive spin memories. The cascaded 
+cascaded source swapped with emissive spin memories. Since the matrix is 'weighted' by the probability for 
+success, it is suffixed with a W to distinguish it from the normalized object `ZALMSpinPair`. The cascaded 
 source from papers [prajit2022heralded](@cite) and [kevin2023zero](@cite) 
 is stored in spin memories as discussed in [prajit2023entangling](@cite).
 It takes the following parameters:
@@ -589,12 +590,12 @@ It takes the following parameters:
 ```jldoctest
 julia> r = Register(2)
 
-julia> initialize!(r[1:2], ZALMSpinPairU(1e-3, 0.5, 0.5, 1, 1, 1, 1, 0.9, 1e-8, 1e-8, 1e-8, 0.99))
+julia> initialize!(r[1:2], ZALMSpinPairW(1e-3, 0.5, 0.5, 1, 1, 1, 1, 0.9, 1e-8, 1e-8, 1e-8, 0.99))
 
 juilia> observable(r[1:2], Z⊗Z)
 ```
 """
-@withmetadata struct ZALMSpinPairU <: AbstractTwoQubitState
+@withmetadata struct ZALMSpinPairW <: AbstractTwoQubitState
     Ns::Float64
     gA::Float64
     gB::Float64
@@ -609,7 +610,7 @@ juilia> observable(r[1:2], Z⊗Z)
     VisF::Float64
 end
 
-symbollabel(x::ZALMSpinPairU) = "ρᶻᵃˡᵐᵁ"
+symbollabel(x::ZALMSpinPairW) = "ρᶻᵃˡᵐᵂ"
 
 
 """
@@ -640,12 +641,12 @@ It takes the following parameters:
 ```jldoctest
 julia> r = Register(2)
 
-julia> initialize!(r[1:2], ZALMSpinPairN(1e-3, 0.5, 0.5, 1, 1, 1, 1, 0.9, 1e-8, 1e-8, 1e-8, 0.99))
+julia> initialize!(r[1:2], ZALMSpinPair(1e-3, 0.5, 0.5, 1, 1, 1, 1, 0.9, 1e-8, 1e-8, 1e-8, 0.99))
 
 juilia> observable(r[1:2], Z⊗Z)
 ```
 """
-@withmetadata struct ZALMSpinPairN <: AbstractTwoQubitState
+@withmetadata struct ZALMSpinPair <: AbstractTwoQubitState
     Ns::Float64
     gA::Float64
     gB::Float64
@@ -660,19 +661,19 @@ juilia> observable(r[1:2], Z⊗Z)
     VisF::Float64
 end
 
-symbollabel(x::ZALMSpinPairN) = "ρᶻᵃˡᵐᴺ"
+symbollabel(x::ZALMSpinPair) = "ρᶻᵃˡᵐ"
 
 ## express
 
-function express_nolookup(x::ZALMSpinPairU, ::QuantumOpticsRepr)
+function express_nolookup(x::ZALMSpinPairW, ::QuantumOpticsRepr)
     data = cascaded_source_spin(x.Ns, x.gA, x.gB, x.eAm, x.eBm, x.eAs, x.eBs, x.eD, x.Pd, x.Pdo1, x.Pdo2, x.VisF)
     return SparseOperator(_bspin⊗_bspin, Complex.(data))
 end
 
-function express_nolookup(x::ZALMSpinPairN, ::QuantumOpticsRepr)
+function express_nolookup(x::ZALMSpinPair, ::QuantumOpticsRepr)
     data = cascaded_source_spin(x.Ns, x.gA, x.gB, x.eAm, x.eBm, x.eAs, x.eBs, x.eD, x.Pd, x.Pdo1, x.Pdo2, x.VisF)
     return SparseOperator(_bspin⊗_bspin, Complex.(data/tr(data)))
 end
 
 ## Symbolic trace 
-tr(::ZALMSpinPairN) = 1
\ No newline at end of file
+tr(::ZALMSpinPair) = 1
\ No newline at end of file