diff --git a/Project.toml b/Project.toml
index ea5f2b5a..d9963991 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "QuantumCollocation"
 uuid = "0dc23a59-5ffb-49af-b6bd-932a8ae77adf"
 authors = ["Aaron Trowbridge <aaron.j.trowbridge@gmail.com> and contributors"]
-version = "0.1.2"
+version = "0.1.3"
 
 [deps]
 BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
diff --git a/examples/cavity/binomial_code.jl b/examples/cavity/binomial_code.jl
index 177ed09b..fc61d001 100644
--- a/examples/cavity/binomial_code.jl
+++ b/examples/cavity/binomial_code.jl
@@ -2,12 +2,60 @@ using QuantumCollocation
 using NamedTrajectories
 
 transmon_levels = 3
-cavity_levels = 5
+cavity_levels = 14
 
 system = MultiModeSystem(transmon_levels, cavity_levels)
 
 g0 = multimode_state("g0", transmon_levels, cavity_levels)
+e0 = multimode_state("e0", transmon_levels, cavity_levels)
+
 g1 = multimode_state("g1", transmon_levels, cavity_levels)
+g2 = multimode_state("g1", transmon_levels, cavity_levels)
 g4 = multimode_state("g4", transmon_levels, cavity_levels)
 
-ψ_init = [g0, g1]
+ψ_init = [g0, e0]
+ψ_goal = [(g0 + g4) / √2, g2]
+
+qubit_a_bound = 0.153
+cavity_a_bound = 0.193
+
+dda_bound = 1e-4
+
+a_bounds = [qubit_a_bound, qubit_a_bound, cavity_a_bound, cavity_a_bound]
+
+T = 200
+Δt = 10.0
+Δt_max = Δt
+Δt_min = 0.2Δt
+Q = 200.0
+R_L1 = 1.0
+max_iter = 2000
+cavity_forbidden_states = cavity_levels .* [1, 2, 3, 4]
+transmon_forbidden_states = 2 * (transmon_levels - 1) * cavity_levels + 1 : 2 * transmon_levels * cavity_levels
+
+forbidden_states = [transmon_forbidden_states; cavity_forbidden_states]
+
+prob = QuantumStateSmoothPulseProblem(system, ψ_init, ψ_goal, T, Δt;
+    Δt_max=Δt_max,
+    Δt_min=Δt_min,
+    dda_bound=dda_bound,
+    a_bounds=a_bounds,
+    L1_regularized_names=[:ψ̃1, :ψ̃2],
+    L1_regularized_indices=(ψ̃1 = forbidden_states, ψ̃2 = forbidden_states),
+    Q=Q,
+    R_L1=R_L1,
+)
+
+experiment = "T_$(T)_dt_$(Δt)_Q_$(Q)_R_L1_$(R_L1)_max_iter_$(max_iter)_dda_bound_$(dda_bound)"
+
+plot_dir = joinpath(@__DIR__, "plots/binomial_code")
+save_dir = joinpath(@__DIR__, "data/binomial_code")
+
+plot_path = generate_file_path("png", experiment, plot_dir)
+save_path = generate_file_path("jld2", experiment, save_dir)
+
+plot(plot_path, prob.trajectory, [:ψ̃1, :ψ̃2, :a]; ignored_labels=[:ψ̃1, :ψ̃2])
+
+solve!(prob; max_iter=max_iter, save_path=save_path)
+
+plot(plot_path, prob.trajectory, [:ψ̃1, :ψ̃2, :a]; ignored_labels=[:ψ̃1, :ψ̃2])
diff --git a/examples/cavity/data/binomial_code/T_200_dt_10.0_max_iter_1000_dda_bound_1.0e-5_00000.jld2 b/examples/cavity/data/binomial_code/T_200_dt_10.0_max_iter_1000_dda_bound_1.0e-5_00000.jld2
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diff --git a/examples/cavity/data/binomial_code/T_200_dt_10.0_max_iter_2000_dda_bound_1.0e-5_00000.jld2 b/examples/cavity/data/binomial_code/T_200_dt_10.0_max_iter_2000_dda_bound_1.0e-5_00000.jld2
new file mode 100644
index 00000000..0ad4d9d4
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