diff --git a/crates/accelerate/src/basis/basis_translator/basis_search_visitor.rs b/crates/accelerate/src/basis/basis_translator/basis_search_visitor.rs
new file mode 100644
index 000000000000..84b6e3207667
--- /dev/null
+++ b/crates/accelerate/src/basis/basis_translator/basis_search_visitor.rs
@@ -0,0 +1,107 @@
+use ahash::{HashMap, HashSet};
+use pyo3::prelude::*;
+use qiskit_circuit::{equivalence::{CircuitRep, EdgeData, Equivalence, EquivalenceLibrary, Key, NodeData}, operations::Param};
+use rustworkx_core::{
+    petgraph::{graph::{EdgeIndex, NodeIndex}, stable_graph::{StableDiGraph, StableGraph}, visit::Control},
+    traversal::{dijkstra_search, DijkstraEvent}
+};
+
+pub struct BasisSearchVisitor<'a>
+{
+    graph: &'a StableDiGraph<NodeData, EdgeData>,
+    target_basis: HashSet<&'a str>,
+    source_gates_remain: HashSet<&'a Key>,
+    num_gates_remain_for_rule: HashMap<usize, usize>,
+    basis_transforms: Vec<(&'a str, u32, &'a [Param], &'a CircuitRep)>,
+    predecessors: HashMap<&'a Key, &'a Equivalence>,
+    opt_cost_map: HashMap<&'a Key, u32>,
+}
+
+impl<'a> BasisSearchVisitor<'a> {
+    pub fn new(
+        graph: &'a StableGraph<NodeData, EdgeData>,
+        source_basis: HashSet<&'a Key>,
+        target_basis: HashSet<&'a str>,
+    ) -> Self {
+        let mut save_index = usize::MAX;
+        let mut num_gates_remain_for_rule = HashMap::default();
+        for edge_data in graph.edge_weights() {
+            if save_index == edge_data.index {
+                continue;
+            }
+            num_gates_remain_for_rule.insert(edge_data.index, edge_data.num_gates);
+            save_index = edge_data.index;
+        }
+        Self {
+            graph,
+            target_basis,
+            source_gates_remain: source_basis,
+            num_gates_remain_for_rule,
+            basis_transforms: vec![],
+            predecessors: HashMap::default(),
+            opt_cost_map: HashMap::default(),
+        }
+    }
+
+    pub fn discover_vertex(&mut self, v: NodeIndex, score: u32) -> Control<()> {
+        let gate = &self.graph[v].key;
+        self.source_gates_remain.remove(gate);
+        if let Some(cost_ref) = self.opt_cost_map.get_mut(gate) {
+            *cost_ref = score;
+        } else {
+            self.opt_cost_map.insert(gate, score);
+        }
+        if let Some(rule) = self.predecessors.get(gate) {
+            // Logger
+            self.basis_transforms.push((gate.name.as_str(), gate.num_qubits, &rule.params, &rule.circuit));
+        }
+        if self.source_gates_remain.is_empty() {
+            self.basis_transforms.reverse();
+            return Control::Break(());
+        }
+        Control::Continue
+    }
+
+    pub fn examine_edge(&self, edge: EdgeIndex) -> Control<()> {
+        // _, target, edata = edge
+        // if edata is None:
+        //     return
+
+        // self._num_gates_remain_for_rule[edata.index] -= 1
+
+        // target = self.graph[target].key
+        // # if there are gates in this `rule` that we have not yet generated, we can't apply
+        // # this `rule`. if `target` is already in basis, it's not beneficial to use this rule.
+        // if self._num_gates_remain_for_rule[edata.index] > 0 or target in self.target_basis:
+        //     raise rustworkx.visit.PruneSearch
+        todo!()
+    }
+
+    pub fn edge_relaxed(&self, edge: EdgeIndex) -> Contol<()> {
+        // _, target, edata = edge
+        // if edata is not None:
+        // gate = self.graph[target].key
+        // self._predecessors[gate] = edata.rule
+        todo!()
+    }
+    /// Returns the cost of an edge.
+    /// 
+    /// This function computes the cost of this edge rule by summing
+    /// the costs of all gates in the rule equivalence circuit. In the
+    /// end, we need to subtract the cost of the source since `dijkstra`
+    /// will later add it.
+    pub fn edge_cost(&self, edge_data: EdgeData) -> u32 {
+        // if edge_data is None:
+        //     # the target of the edge is a gate in the target basis,
+        //     # so we return a default value of 1.
+        //     return 1
+
+        // cost_tot = 0
+        // for instruction in edge_data.rule.circuit:
+        //     key = Key(name=instruction.operation.name, num_qubits=len(instruction.qubits))
+        //     cost_tot += self._opt_cost_map[key]
+
+        // return cost_tot - self._opt_cost_map[edge_data.source]
+        todo!()
+    }
+}
diff --git a/crates/accelerate/src/basis/basis_translator/mod.rs b/crates/accelerate/src/basis/basis_translator/mod.rs
new file mode 100644
index 000000000000..480884362a96
--- /dev/null
+++ b/crates/accelerate/src/basis/basis_translator/mod.rs
@@ -0,0 +1 @@
+mod basis_search_visitor;
diff --git a/crates/accelerate/src/basis/mod.rs b/crates/accelerate/src/basis/mod.rs
new file mode 100644
index 000000000000..6562e6de2da0
--- /dev/null
+++ b/crates/accelerate/src/basis/mod.rs
@@ -0,0 +1 @@
+pub mod basis_translator;
diff --git a/crates/accelerate/src/lib.rs b/crates/accelerate/src/lib.rs
index dcfbdc9f1878..4d2c2d752da2 100644
--- a/crates/accelerate/src/lib.rs
+++ b/crates/accelerate/src/lib.rs
@@ -14,6 +14,7 @@ use std::env;
 
 use pyo3::import_exception;
 
+pub mod basis;
 pub mod convert_2q_block_matrix;
 pub mod dense_layout;
 pub mod edge_collections;