diff --git a/freud/order.py b/freud/order.py
index b0e8222ce..df2e7bdcd 100644
--- a/freud/order.py
+++ b/freud/order.py
@@ -66,94 +66,79 @@ def __init__(self, t_initial, t_final, scale, n_replicates=1, seed=None):
 
         self._cpp_obj = freud._order.Cubatic(t_initial, t_final, scale, n_replicates, seed)
 
-#     def compute(self, orientations):
-#         r"""Calculates the per-particle and global order parameter.
-
-#         Args:
-#             orientations ((:math:`N_{particles}`, 4) :class:`numpy.ndarray`):
-#                 Orientations as angles to use in computation.
-#         """
-#         orientations = freud.util._convert_array(
-#             orientations, shape=(None, 4))
-
-#         cdef const float[:, ::1] l_orientations = orientations
-#         cdef unsigned int num_particles = l_orientations.shape[0]
+    def compute(self, orientations):
+        r"""Calculates the per-particle and global order parameter.
 
-#         self.thisptr.compute(
-#             <quat[float]*> &l_orientations[0, 0], num_particles)
-#         return self
+        Args:
+            orientations ((:math:`N_{particles}`, 4) :class:`numpy.ndarray`):
+                Orientations as angles to use in computation.
+        """
+        orientations = freud.util._convert_array(orientations, shape=(None, 4))
+        self._cpp_obj.compute(orientations)
+        return self
 
-#     @property
-#     def t_initial(self):
-#         """float: The value of the initial temperature."""
-#         return self.thisptr.getTInitial()
+    @property
+    def t_initial(self):
+        """float: The value of the initial temperature."""
+        return self._cpp_obj.getTInitial()
 
-#     @property
-#     def t_final(self):
-#         """float: The value of the final temperature."""
-#         return self.thisptr.getTFinal()
+    @property
+    def t_final(self):
+        """float: The value of the final temperature."""
+        return self._cpp_obj.getTFinal()
 
-#     @property
-#     def scale(self):
-#         """float: The scale."""
-#         return self.thisptr.getScale()
+    @property
+    def scale(self):
+        """float: The scale."""
+        return self._cpp_obj.getScale()
 
-#     @property
-#     def n_replicates(self):
-#         """unsigned int: Number of replicate simulated annealing runs."""
-#         return self.thisptr.getNReplicates()
+    @property
+    def n_replicates(self):
+        """unsigned int: Number of replicate simulated annealing runs."""
+        return self._cpp_obj.getNReplicates()
 
-#     @property
-#     def seed(self):
-#         """unsigned int: Random seed to use in calculations."""
-#         return self.thisptr.getSeed()
+    @property
+    def seed(self):
+        """unsigned int: Random seed to use in calculations."""
+        return self._cpp_obj.getSeed()
 
-#     @_Compute._computed_property
-#     def order(self):
-#         """float: Cubatic order parameter of the system."""
-#         return self.thisptr.getCubaticOrderParameter()
+    @_Compute._computed_property
+    def order(self):
+        """float: Cubatic order parameter of the system."""
+        return self._cpp_obj.getCubaticOrderParameter()
 
-#     @_Compute._computed_property
-#     def orientation(self):
-#         """:math:`\\left(4 \\right)` :class:`numpy.ndarray`: The quaternion of
-#         global orientation."""
-#         cdef quat[float] q = self.thisptr.getCubaticOrientation()
-#         return np.asarray([q.s, q.v.x, q.v.y, q.v.z], dtype=np.float32)
+    @_Compute._computed_property
+    def orientation(self):
+        """:math:`\\left(4 \\right)` :class:`numpy.ndarray`: The quaternion of
+        global orientation."""
+        q = self._cpp_obj.getCubaticOrientation()
+        return np.asarray(q, dtype=np.float32)
 
-#     @_Compute._computed_property
-#     def particle_order(self):
-#         """:math:`\\left(N_{particles} \\right)` :class:`numpy.ndarray`: Order
-#         parameter."""
-#         return freud.util.make_managed_numpy_array(
-#             &self.thisptr.getParticleOrderParameter(),
-#             freud.util.arr_type_t.FLOAT)
+    @_Compute._computed_property
+    def particle_order(self):
+        """:math:`\\left(N_{particles} \\right)` :class:`numpy.ndarray`: Order
+        parameter."""
+        return self._cpp_obj.getParticleOrderParameter().toNumpyArray()
 
-#     @_Compute._computed_property
-#     def global_tensor(self):
-#         """:math:`\\left(3, 3, 3, 3 \\right)` :class:`numpy.ndarray`: Rank 4
-#         tensor corresponding to the global orientation. Computed from all
-#         orientations."""
-#         return freud.util.make_managed_numpy_array(
-#             &self.thisptr.getGlobalTensor(),
-#             freud.util.arr_type_t.FLOAT)
+    @_Compute._computed_property
+    def global_tensor(self):
+        """:math:`\\left(3, 3, 3, 3 \\right)` :class:`numpy.ndarray`: Rank 4
+        tensor corresponding to the global orientation. Computed from all
+        orientations."""
+        return self._cpp_obj.getGlobalTensor().toNumpyArray()
 
-#     @_Compute._computed_property
-#     def cubatic_tensor(self):
-#         """:math:`\\left(3, 3, 3, 3 \\right)` :class:`numpy.ndarray`: Rank 4
-#         homogeneous tensor representing the optimal system-wide coordinates."""
-#         return freud.util.make_managed_numpy_array(
-#             &self.thisptr.getCubaticTensor(),
-#             freud.util.arr_type_t.FLOAT)
+    @_Compute._computed_property
+    def cubatic_tensor(self):
+        """:math:`\\left(3, 3, 3, 3 \\right)` :class:`numpy.ndarray`: Rank 4
+        homogeneous tensor representing the optimal system-wide coordinates."""
+        return self._cpp_obj.getCubaticTensor().toNumpyArray()
 
-#     def __repr__(self):
-#         return ("freud.order.{cls}(t_initial={t_initial}, t_final={t_final}, "
-#                 "scale={scale}, n_replicates={n_replicates}, "
-#                 "seed={seed})").format(cls=type(self).__name__,
-#                                        t_initial=self.t_initial,
-#                                        t_final=self.t_final,
-#                                        scale=self.scale,
-#                                        n_replicates=self.n_replicates,
-#                                        seed=self.seed)
+    def __repr__(self):
+        return (
+            f"freud.order.{type(self).__name__}(t_initial={self.t_initial}, "
+            f"t_final={self.t_final}, scale={self.scale}, "
+            f"n_replicates={self.n_replicates}, seed={self.seed})"
+        )
 
 
 class Nematic(_Compute):
@@ -565,7 +550,7 @@ def particle_order(self):
         Variant of the Steinhardt order parameter for each particle (filled with
         :code:`nan` for particles with no neighbors)."""
         p_orders = self._cpp_obj.getParticleOrder().toNumpyArray()
-        return np.ravel(p_orders) if p_orders.shape[1] == 1 else p_orders 
+        return np.ravel(p_orders) if p_orders.shape[1] == 1 else p_orders
 
     @_Compute._computed_property
     def ql(self):
diff --git a/freud/order/Cubatic.cc b/freud/order/Cubatic.cc
index a44c253bd..f2aa5f9fc 100644
--- a/freud/order/Cubatic.cc
+++ b/freud/order/Cubatic.cc
@@ -71,7 +71,11 @@ tensor4 tensor4::operator*(const float& b) const
 
 void tensor4::copyToManagedArray(util::ManagedArray<float>& ma)
 {
-    std::copy(data.begin(), data.end(), ma.get());
+    // TODO: this may be possible with std::copy but this works as well.
+    for (unsigned int i = 0; i < 81; i++)
+    {
+        ma[i] = data[i];
+    }
 }
 
 //! Complete tensor contraction.
@@ -236,14 +240,12 @@ tensor4 Cubatic::calculateGlobalTensor(quat<float>* orientations) const
 void Cubatic::compute(quat<float>* orientations, unsigned int num_orientations)
 {
     m_n = num_orientations;
-    // m_particle_order_parameter.prepare(m_n);
     m_particle_order_parameter = std::make_shared<util::ManagedArray<float>>(std::vector<size_t> {m_n});
 
     // Calculate the per-particle tensor
     tensor4 global_tensor = calculateGlobalTensor(orientations);
-    // m_global_tensor.prepare({3, 3, 3, 3});
     m_global_tensor = std::make_shared<util::ManagedArray<float>>(std::vector<size_t> {3, 3, 3, 3});
-    global_tensor.copyToManagedArray(m_global_tensor);
+    global_tensor.copyToManagedArray((*m_global_tensor));
 
     // The paper recommends using a Newton-Raphson scheme to optimize the order
     // parameter, but in practice we find that simulated annealing performs
@@ -331,9 +333,8 @@ void Cubatic::compute(quat<float>* orientations, unsigned int num_orientations)
         }
     }
 
-    // m_cubatic_tensor.prepare({3, 3, 3, 3});
     m_cubatic_tensor = std::make_shared<util::ManagedArray<float>>(std::vector<size_t> {3, 3, 3, 3});
-    p_cubatic_tensor[max_idx].copyToManagedArray(m_cubatic_tensor);
+    p_cubatic_tensor[max_idx].copyToManagedArray((*m_cubatic_tensor));
     m_cubatic_orientation = p_cubatic_orientation[max_idx];
     m_cubatic_order_parameter = p_cubatic_order_parameter[max_idx];
 
@@ -344,7 +345,7 @@ void Cubatic::compute(quat<float>* orientations, unsigned int num_orientations)
             // The per-particle order parameter is defined as the value of the
             // cubatic order parameter if the global orientation was the
             // particle orientation, so we can reuse the same machinery.
-            m_particle_order_parameter[i]
+            (*m_particle_order_parameter)[i]
                 = calcCubaticOrderParameter(calcCubaticTensor(orientations[i]), global_tensor);
         }
     });
diff --git a/freud/order/Cubatic.h b/freud/order/Cubatic.h
index a45c10a76..9114bcc35 100644
--- a/freud/order/Cubatic.h
+++ b/freud/order/Cubatic.h
@@ -78,17 +78,17 @@ class Cubatic
         return m_cubatic_order_parameter;
     }
 
-    const util::ManagedArray<float>& getParticleOrderParameter() const
+    const std::shared_ptr<util::ManagedArray<float>>& getParticleOrderParameter() const
     {
         return m_particle_order_parameter;
     }
 
-    const util::ManagedArray<float>& getGlobalTensor() const
+    const std::shared_ptr<util::ManagedArray<float>>& getGlobalTensor() const
     {
         return m_global_tensor;
     }
 
-    const util::ManagedArray<float>& getCubaticTensor() const
+    const std::shared_ptr<util::ManagedArray<float>>& getCubaticTensor() const
     {
         return m_cubatic_tensor;
     }
diff --git a/freud/order/export-Cubatic.cc b/freud/order/export-Cubatic.cc
index f93afd717..be0466089 100644
--- a/freud/order/export-Cubatic.cc
+++ b/freud/order/export-Cubatic.cc
@@ -4,8 +4,7 @@
 #include <memory>
 #include <nanobind/nanobind.h>
 #include <nanobind/ndarray.h>
-// #include <nanobind/stl/shared_ptr.h> // NOLINT(misc-include-cleaner): used implicitly
-// #include <nanobind/stl/tuple.h>      // NOLINT(misc-include-cleaner): used implicitly
+#include <nanobind/stl/shared_ptr.h> // NOLINT(misc-include-cleaner): used implicitly
 #include <utility>
 
 #include "Cubatic.h"
@@ -27,24 +26,31 @@ void computeCubatic(const std::shared_ptr<Cubatic>& self,
     self->compute(orientations_data, num_orientations);
 }
 
-// nanobind::tuple getNematicDirector(const std::shared_ptr<Cubatic>& self)
-// {
-//     vec3<float> nem_d_cpp = self->getNematicDirector();
-//     return nanobind::make_tuple(nem_d_cpp.x, nem_d_cpp.y, nem_d_cpp.z);
-// }
+nanobind::tuple getCubaticOrientation(const std::shared_ptr<Cubatic>& self)
+{
+    quat<float> q = self->getCubaticOrientation();
+    return nanobind::make_tuple(q.s, q.v.x, q.v.y, q.v.z);
+}
 }; // namespace wrap
 
 namespace detail {
 
-void export_Nematic(nanobind::module_& m)
+void export_Cubatic(nanobind::module_& m)
 {
     nanobind::class_<Cubatic>(m, "Cubatic")
         .def(nanobind::init<float, float, float, unsigned int, unsigned int>())
         .def("compute", &wrap::computeCubatic, nanobind::arg("orientations"))
-        // .def("getNematicOrderParameter", &Nematic::getNematicOrderParameter)
-        // .def("getNematicDirector", &wrap::getNematicDirector)
-        // .def("getParticleTensor", &Nematic::getParticleTensor)
-        // .def("getNematicTensor", &Nematic::getNematicTensor);
+        .def("getTInitial", &Cubatic::getTInitial)
+        .def("getTFinal", &Cubatic::getTFinal)
+        .def("getScale", &Cubatic::getScale)
+        .def("getNReplicates", &Cubatic::getNReplicates)
+        .def("getSeed", &Cubatic::getSeed)
+        .def("getCubaticOrderParameter", &Cubatic::getCubaticOrderParameter)
+        .def("getCubaticOrientation", &wrap::getCubaticOrientation)
+        .def("getParticleOrderParameter", &Cubatic::getParticleOrderParameter)
+        .def("getGlobalTensor", &Cubatic::getGlobalTensor)
+        .def("getCubaticTensor", &Cubatic::getCubaticTensor)
+        ;
 }
 
 } // namespace detail