diff --git a/Cargo.lock b/Cargo.lock
index dcf0546e4..bd99bc8ac 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -319,6 +319,16 @@ version = "0.2.16"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "eb9f9e6e233e5c4a35559a617bf40a4ec447db2e84c20b55a6f83167b7e57872"
 
+[[package]]
+name = "priority-queue"
+version = "1.2.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cf40e51ccefb72d42720609e1d3c518de8b5800d723a09358d4a6d6245e1f8ca"
+dependencies = [
+ "autocfg",
+ "indexmap",
+]
+
 [[package]]
 name = "proc-macro2"
 version = "1.0.47"
@@ -407,7 +417,7 @@ dependencies = [
  "rand_distr",
  "rand_pcg",
  "rayon",
- "retworkx-core",
+ "rustworkx-core",
 ]
 
 [[package]]
@@ -508,15 +518,18 @@ dependencies = [
 ]
 
 [[package]]
-name = "retworkx-core"
-version = "0.11.0"
+name = "rustworkx-core"
+version = "0.12.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "353bcdcdab6c754ea32bce39ee7a763c8a3c16c91a8dd648befd14fbcb0d5b68"
+checksum = "23f8a8866a33f4f8b06ed2a4120d3c08a0be63a9c18a53b4238e53922edfc953"
 dependencies = [
  "ahash 0.7.6",
+ "fixedbitset",
  "hashbrown 0.11.2",
  "indexmap",
+ "num-traits",
  "petgraph",
+ "priority-queue",
  "rayon",
 ]
 
diff --git a/Cargo.toml b/Cargo.toml
index a65bf6dd7..9088c8470 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -18,7 +18,7 @@ rand_distr = "0.4.3"
 ahash = "0.8.0"
 num-complex = "0.4"
 num-bigint = "0.4"
-retworkx-core = "0.11"
+rustworkx-core = "0.12"
 
 [dependencies.pyo3]
 version = "0.17.2"
diff --git a/qiskit/circuit/equivalence.py b/qiskit/circuit/equivalence.py
index 381297e45..80731a3dc 100644
--- a/qiskit/circuit/equivalence.py
+++ b/qiskit/circuit/equivalence.py
@@ -14,8 +14,8 @@
 
 from collections import namedtuple
 
-from retworkx.visualization import graphviz_draw  # pylint: disable=no-name-in-module,import-error
-import retworkx as rx
+from rustworkx.visualization import graphviz_draw  # pylint: disable=no-name-in-module
+import rustworkx as rx
 
 from qiskit.exceptions import InvalidFileError
 from .exceptions import CircuitError
diff --git a/qiskit/circuit/library/graph_state.py b/qiskit/circuit/library/graph_state.py
index f811bea83..aeb2e8cb5 100644
--- a/qiskit/circuit/library/graph_state.py
+++ b/qiskit/circuit/library/graph_state.py
@@ -44,7 +44,7 @@ class GraphState(QuantumCircuit):
 
         from qiskit.circuit.library import GraphState
         import qiskit.tools.jupyter
-        import retworkx as rx
+        import rustworkx as rx
         G = rx.generators.cycle_graph(5)
         circuit = GraphState(rx.adjacency_matrix(G))
         %circuit_library_info circuit
diff --git a/qiskit/dagcircuit/dagcircuit.py b/qiskit/dagcircuit/dagcircuit.py
index 721497775..df5ed3cc5 100644
--- a/qiskit/dagcircuit/dagcircuit.py
+++ b/qiskit/dagcircuit/dagcircuit.py
@@ -26,7 +26,7 @@ import itertools
 import math
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.circuit import ControlFlowOp, ForLoopOp, IfElseOp, WhileLoopOp
 from qiskit.circuit.exceptions import CircuitError
@@ -1289,7 +1289,7 @@ class DAGCircuit:
             self.global_phase += in_dag.global_phase
 
         # Add wire from pred to succ if no ops on mapped wire on ``in_dag``
-        # retworkx's substitute_node_with_subgraph lacks the DAGCircuit
+        # rustworkx's substitute_node_with_subgraph lacks the DAGCircuit
         # context to know what to do in this case (the method won't even see
         # these nodes because they're filtered) so we manually retain the
         # edges prior to calling substitute_node_with_subgraph and set the
@@ -1325,8 +1325,8 @@ class DAGCircuit:
                 wire_output_id = in_dag.output_map[wire]._node_id
                 out_index = in_dag._multi_graph.predecessor_indices(wire_output_id)[0]
                 # Edge directly from from input nodes to output nodes in in_dag are
-                # already handled prior to calling retworkx. Don't map these edges
-                # in retworkx.
+                # already handled prior to calling rustworkx. Don't map these edges
+                # in rustworkx.
                 if not isinstance(in_dag._multi_graph[out_index], DAGOpNode):
                     return None
             # predecessor edge
@@ -1334,8 +1334,8 @@ class DAGCircuit:
                 wire_input_id = in_dag.input_map[wire]._node_id
                 out_index = in_dag._multi_graph.successor_indices(wire_input_id)[0]
                 # Edge directly from from input nodes to output nodes in in_dag are
-                # already handled prior to calling retworkx. Don't map these edges
-                # in retworkx.
+                # already handled prior to calling rustworkx. Don't map these edges
+                # in rustworkx.
                 if not isinstance(in_dag._multi_graph[out_index], DAGOpNode):
                     return None
             return out_index
diff --git a/qiskit/dagcircuit/dagdependency.py b/qiskit/dagcircuit/dagdependency.py
index f9fb8b758..b09f92764 100644
--- a/qiskit/dagcircuit/dagdependency.py
+++ b/qiskit/dagcircuit/dagdependency.py
@@ -18,7 +18,7 @@ import heapq
 from collections import OrderedDict, defaultdict
 import warnings
 
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.circuit.quantumregister import QuantumRegister, Qubit
 from qiskit.circuit.classicalregister import ClassicalRegister, Clbit
diff --git a/qiskit/opflow/converters/abelian_grouper.py b/qiskit/opflow/converters/abelian_grouper.py
index ec27ef523..1b8b51616 100644
--- a/qiskit/opflow/converters/abelian_grouper.py
+++ b/qiskit/opflow/converters/abelian_grouper.py
@@ -16,7 +16,7 @@ from collections import defaultdict
 from typing import List, Tuple, Union, cast
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.opflow.converters.converter_base import ConverterBase
 from qiskit.opflow.evolutions.evolved_op import EvolvedOp
diff --git a/qiskit/pulse/schedule.py b/qiskit/pulse/schedule.py
index 9d0561c11..5355c5364 100644
--- a/qiskit/pulse/schedule.py
+++ b/qiskit/pulse/schedule.py
@@ -42,7 +42,7 @@ import warnings
 from typing import List, Tuple, Iterable, Union, Dict, Callable, Set, Optional, Any
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.circuit.parameter import Parameter
 from qiskit.circuit.parameterexpression import ParameterExpression, ParameterValueType
diff --git a/qiskit/pulse/transforms/dag.py b/qiskit/pulse/transforms/dag.py
index 4756cb98e..41f354476 100644
--- a/qiskit/pulse/transforms/dag.py
+++ b/qiskit/pulse/transforms/dag.py
@@ -11,7 +11,7 @@
 # that they have been altered from the originals.
 """A collection of functions to convert ScheduleBlock to DAG representation."""
 
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.pulse.exceptions import UnassignedReferenceError
 
diff --git a/qiskit/quantum_info/operators/symplectic/pauli_list.py b/qiskit/quantum_info/operators/symplectic/pauli_list.py
index 293e0a641..3cf7f0399 100644
--- a/qiskit/quantum_info/operators/symplectic/pauli_list.py
+++ b/qiskit/quantum_info/operators/symplectic/pauli_list.py
@@ -16,7 +16,7 @@ Optimized list of Pauli operators
 from collections import defaultdict
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.exceptions import QiskitError
 from qiskit.quantum_info.operators.custom_iterator import CustomIterator
@@ -1109,7 +1109,7 @@ class PauliList(BasePauli, LinearMixin, GroupMixin):
                 or on a per-qubit basis.
 
         Returns:
-            retworkx.PyGraph: A class of undirected graphs
+            rustworkx.PyGraph: A class of undirected graphs
         """
 
         edges = self._noncommutation_graph(qubit_wise)
diff --git a/qiskit/quantum_info/operators/symplectic/sparse_pauli_op.py b/qiskit/quantum_info/operators/symplectic/sparse_pauli_op.py
index dd2ac3bc6..f9b3b50f6 100644
--- a/qiskit/quantum_info/operators/symplectic/sparse_pauli_op.py
+++ b/qiskit/quantum_info/operators/symplectic/sparse_pauli_op.py
@@ -18,7 +18,7 @@ from numbers import Number
 from typing import Dict, Optional
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit._accelerate.sparse_pauli_op import unordered_unique  # pylint: disable=import-error
 from qiskit.exceptions import QiskitError
@@ -930,7 +930,7 @@ class SparsePauliOp(LinearOp):
                 or on a per-qubit basis.
 
         Returns:
-            retworkx.PyGraph: A class of undirected graphs
+            rustworkx.PyGraph: A class of undirected graphs
         """
 
         edges = self.paulis._noncommutation_graph(qubit_wise)
diff --git a/qiskit/transpiler/coupling.py b/qiskit/transpiler/coupling.py
index ddc93191f..1fac676a4 100644
--- a/qiskit/transpiler/coupling.py
+++ b/qiskit/transpiler/coupling.py
@@ -22,8 +22,8 @@ onto a device with this coupling.
 import warnings
 
 import numpy as np
-import retworkx as rx
-from retworkx.visualization import graphviz_draw  # pylint: disable=no-name-in-module,import-error
+import rustworkx as rx
+from rustworkx.visualization import graphviz_draw  # pylint: disable=no-name-in-module
 
 from qiskit.transpiler.exceptions import CouplingError
 
@@ -409,8 +409,8 @@ class CouplingMap:
     def draw(self):
         """Draws the coupling map.
 
-        This function calls the :func:`~retworkx.visualization.graphviz_draw` function from the
-        ``retworkx`` package to draw the :class:`CouplingMap` object.
+        This function calls the :func:`~rustworkx.visualization.graphviz_draw` function from the
+        ``rustworkx`` package to draw the :class:`CouplingMap` object.
 
         Returns:
             PIL.Image: Drawn coupling map.
diff --git a/qiskit/transpiler/passes/basis/basis_translator.py b/qiskit/transpiler/passes/basis/basis_translator.py
index 004371c12..8cba722ee 100644
--- a/qiskit/transpiler/passes/basis/basis_translator.py
+++ b/qiskit/transpiler/passes/basis/basis_translator.py
@@ -21,7 +21,7 @@ from itertools import zip_longest
 from collections import defaultdict
 from functools import singledispatch
 
-import retworkx
+import rustworkx
 
 from qiskit.circuit import Gate, ParameterVector, QuantumRegister, ControlFlowOp, QuantumCircuit
 from qiskit.dagcircuit import DAGCircuit
@@ -365,11 +365,11 @@ def _(circ: QuantumCircuit):
 
 
 class StopIfBasisRewritable(Exception):
-    """Custom exception that signals `retworkx.dijkstra_search` to stop."""
+    """Custom exception that signals `rustworkx.dijkstra_search` to stop."""
 
 
-class BasisSearchVisitor(retworkx.visit.DijkstraVisitor):  # pylint: disable=no-member
-    """Handles events emitted during `retworkx.dijkstra_search`."""
+class BasisSearchVisitor(rustworkx.visit.DijkstraVisitor):  # pylint: disable=no-member
+    """Handles events emitted during `rustworkx.dijkstra_search`."""
 
     def __init__(self, graph, source_basis, target_basis, num_gates_for_rule):
         self.graph = graph
@@ -414,7 +414,7 @@ class BasisSearchVisitor(retworkx.visit.DijkstraVisitor):  # pylint: disable=no-
         # 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[index] > 0 or target in self.target_basis:
-            raise retworkx.visit.PruneSearch  # pylint: disable=no-member
+            raise rustworkx.visit.PruneSearch  # pylint: disable=no-member
 
     def edge_relaxed(self, edge):
         _, target, edata = edge
@@ -480,7 +480,7 @@ def _basis_search(equiv_lib, source_basis, target_basis):
 
     all_gates_in_lib = set()
 
-    graph = retworkx.PyDiGraph()
+    graph = rustworkx.PyDiGraph()
     nodes_to_indices = dict()
     num_gates_for_rule = dict()
 
@@ -527,7 +527,7 @@ def _basis_search(equiv_lib, source_basis, target_basis):
     graph.add_edges_from_no_data([(dummy, nodes_to_indices[key]) for key in target_basis_keys])
     rtn = None
     try:
-        retworkx.digraph_dijkstra_search(graph, [dummy], vis.edge_cost, vis)
+        rustworkx.digraph_dijkstra_search(graph, [dummy], vis.edge_cost, vis)
     except StopIfBasisRewritable:
         rtn = vis.basis_transforms
 
diff --git a/qiskit/transpiler/passes/layout/dense_layout.py b/qiskit/transpiler/passes/layout/dense_layout.py
index 6b75b6d09..59be8ad5f 100644
--- a/qiskit/transpiler/passes/layout/dense_layout.py
+++ b/qiskit/transpiler/passes/layout/dense_layout.py
@@ -14,7 +14,7 @@
 
 
 import numpy as np
-import retworkx
+import rustworkx
 
 from qiskit.transpiler.layout import Layout
 from qiskit.transpiler.basepasses import AnalysisPass
@@ -53,12 +53,12 @@ class DenseLayout(AnalysisPass):
             num_qubits = target.num_qubits
             self.coupling_map = target.build_coupling_map()
             if self.coupling_map is not None:
-                self.adjacency_matrix = retworkx.adjacency_matrix(self.coupling_map.graph)
+                self.adjacency_matrix = rustworkx.adjacency_matrix(self.coupling_map.graph)
             self.error_mat, self._use_error = _build_error_matrix(num_qubits, target=target)
         else:
             if self.coupling_map:
                 num_qubits = self.coupling_map.size()
-                self.adjacency_matrix = retworkx.adjacency_matrix(self.coupling_map.graph)
+                self.adjacency_matrix = rustworkx.adjacency_matrix(self.coupling_map.graph)
             self.error_mat, self._use_error = _build_error_matrix(
                 num_qubits, backend_prop=self.backend_prop, coupling_map=self.coupling_map
             )
diff --git a/qiskit/transpiler/passes/layout/noise_adaptive_layout.py b/qiskit/transpiler/passes/layout/noise_adaptive_layout.py
index 046452074..f8dcc566d 100644
--- a/qiskit/transpiler/passes/layout/noise_adaptive_layout.py
+++ b/qiskit/transpiler/passes/layout/noise_adaptive_layout.py
@@ -14,7 +14,7 @@
 
 import math
 
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.transpiler.layout import Layout
 from qiskit.transpiler.basepasses import AnalysisPass
diff --git a/qiskit/transpiler/passes/layout/vf2_layout.py b/qiskit/transpiler/passes/layout/vf2_layout.py
index b20ca0cf9..5362b5397 100644
--- a/qiskit/transpiler/passes/layout/vf2_layout.py
+++ b/qiskit/transpiler/passes/layout/vf2_layout.py
@@ -15,7 +15,7 @@ from enum import Enum
 import logging
 import time
 
-from retworkx import vf2_mapping
+from rustworkx import vf2_mapping
 
 from qiskit.transpiler.layout import Layout
 from qiskit.transpiler.basepasses import AnalysisPass
diff --git a/qiskit/transpiler/passes/layout/vf2_post_layout.py b/qiskit/transpiler/passes/layout/vf2_post_layout.py
index fb346d6e5..5b3b8361b 100644
--- a/qiskit/transpiler/passes/layout/vf2_post_layout.py
+++ b/qiskit/transpiler/passes/layout/vf2_post_layout.py
@@ -16,7 +16,7 @@ import logging
 import inspect
 import time
 
-from retworkx import PyDiGraph, vf2_mapping, PyGraph
+from rustworkx import PyDiGraph, vf2_mapping, PyGraph
 
 from qiskit.transpiler.layout import Layout
 from qiskit.transpiler.basepasses import AnalysisPass
diff --git a/qiskit/transpiler/passes/layout/vf2_utils.py b/qiskit/transpiler/passes/layout/vf2_utils.py
index 950b2447d..667a770a0 100644
--- a/qiskit/transpiler/passes/layout/vf2_utils.py
+++ b/qiskit/transpiler/passes/layout/vf2_utils.py
@@ -16,7 +16,7 @@ from collections import defaultdict
 import statistics
 import random
 
-from retworkx import PyDiGraph, PyGraph
+from rustworkx import PyDiGraph, PyGraph
 
 from qiskit.circuit import ControlFlowOp, ForLoopOp
 from qiskit.converters import circuit_to_dag
diff --git a/qiskit/transpiler/passes/routing/algorithms/token_swapper.py b/qiskit/transpiler/passes/routing/algorithms/token_swapper.py
index 7f5f9fcc7..63dd1e1f0 100644
--- a/qiskit/transpiler/passes/routing/algorithms/token_swapper.py
+++ b/qiskit/transpiler/passes/routing/algorithms/token_swapper.py
@@ -31,7 +31,7 @@ import logging
 from typing import Iterator, Mapping, MutableMapping, MutableSet, List, Iterable, Union
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from .types import Swap, Permutation
 from .util import PermutationCircuit, permutation_circuit
diff --git a/qiskit/transpiler/passes/routing/sabre_swap.py b/qiskit/transpiler/passes/routing/sabre_swap.py
index a2d749b69..c5f8bbf90 100644
--- a/qiskit/transpiler/passes/routing/sabre_swap.py
+++ b/qiskit/transpiler/passes/routing/sabre_swap.py
@@ -16,7 +16,7 @@ import logging
 from copy import copy, deepcopy
 
 import numpy as np
-import retworkx
+import rustworkx
 
 from qiskit.circuit.library.standard_gates import SwapGate
 from qiskit.transpiler.basepasses import TransformationPass
@@ -148,7 +148,9 @@ class SabreSwap(TransformationPass):
             self.coupling_map.make_symmetric()
         self._neighbor_table = None
         if coupling_map is not None:
-            self._neighbor_table = NeighborTable(retworkx.adjacency_matrix(self.coupling_map.graph))
+            self._neighbor_table = NeighborTable(
+                rustworkx.adjacency_matrix(self.coupling_map.graph)
+            )
 
         self.heuristic = heuristic
 
diff --git a/qiskit/transpiler/preset_passmanagers/common.py b/qiskit/transpiler/preset_passmanagers/common.py
index b44125986..d77c644f7 100644
--- a/qiskit/transpiler/preset_passmanagers/common.py
+++ b/qiskit/transpiler/preset_passmanagers/common.py
@@ -510,9 +510,9 @@ def get_vf2_call_limit(
     vf2_call_limit = None
     if layout_method is None and initial_layout is None:
         if optimization_level == 1:
-            vf2_call_limit = int(5e4)  # Set call limit to ~100ms with retworkx 0.10.2
+            vf2_call_limit = int(5e4)  # Set call limit to ~100ms with rustworkx 0.10.2
         elif optimization_level == 2:
-            vf2_call_limit = int(5e6)  # Set call limit to ~10 sec with retworkx 0.10.2
+            vf2_call_limit = int(5e6)  # Set call limit to ~10 sec with rustworkx 0.10.2
         elif optimization_level == 3:
-            vf2_call_limit = int(3e7)  # Set call limit to ~60 sec with retworkx 0.10.2
+            vf2_call_limit = int(3e7)  # Set call limit to ~60 sec with rustworkx 0.10.2
     return vf2_call_limit
diff --git a/qiskit/transpiler/preset_passmanagers/level1.py b/qiskit/transpiler/preset_passmanagers/level1.py
index 6268b3dc6..37da850d7 100644
--- a/qiskit/transpiler/preset_passmanagers/level1.py
+++ b/qiskit/transpiler/preset_passmanagers/level1.py
@@ -127,7 +127,7 @@ def level_1_pass_manager(pass_manager_config: PassManagerConfig) -> StagedPassMa
         else VF2Layout(
             coupling_map,
             seed=seed_transpiler,
-            call_limit=int(5e4),  # Set call limit to ~100ms with retworkx 0.10.2
+            call_limit=int(5e4),  # Set call limit to ~100ms with rustworkx 0.10.2
             properties=backend_properties,
             target=target,
         )
diff --git a/qiskit/transpiler/preset_passmanagers/level2.py b/qiskit/transpiler/preset_passmanagers/level2.py
index 240869d60..1c11193ef 100644
--- a/qiskit/transpiler/preset_passmanagers/level2.py
+++ b/qiskit/transpiler/preset_passmanagers/level2.py
@@ -117,7 +117,7 @@ def level_2_pass_manager(pass_manager_config: PassManagerConfig) -> StagedPassMa
         else VF2Layout(
             coupling_map,
             seed=seed_transpiler,
-            call_limit=int(5e6),  # Set call limit to ~10 sec with retworkx 0.10.2
+            call_limit=int(5e6),  # Set call limit to ~10 sec with rustworkx 0.10.2
             properties=backend_properties,
             target=target,
         )
diff --git a/qiskit/transpiler/preset_passmanagers/level3.py b/qiskit/transpiler/preset_passmanagers/level3.py
index 5e1f5b979..fdb8bec93 100644
--- a/qiskit/transpiler/preset_passmanagers/level3.py
+++ b/qiskit/transpiler/preset_passmanagers/level3.py
@@ -123,7 +123,7 @@ def level_3_pass_manager(pass_manager_config: PassManagerConfig) -> StagedPassMa
         else VF2Layout(
             coupling_map,
             seed=seed_transpiler,
-            call_limit=int(3e7),  # Set call limit to ~60 sec with retworkx 0.10.2
+            call_limit=int(3e7),  # Set call limit to ~60 sec with rustworkx 0.10.2
             properties=backend_properties,
             target=target,
         )
diff --git a/qiskit/transpiler/target.py b/qiskit/transpiler/target.py
index ee4f88991..b2fbe90d3 100644
--- a/qiskit/transpiler/target.py
+++ b/qiskit/transpiler/target.py
@@ -24,7 +24,7 @@ import io
 import logging
 import inspect
 
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.circuit.parameter import Parameter
 from qiskit.pulse.instruction_schedule_map import InstructionScheduleMap
diff --git a/qiskit/visualization/dag_visualization.py b/qiskit/visualization/dag_visualization.py
index a0d0ef7c2..e73e7b34e 100644
--- a/qiskit/visualization/dag_visualization.py
+++ b/qiskit/visualization/dag_visualization.py
@@ -15,8 +15,7 @@
 """
 Visualization function for DAG circuit representation.
 """
-from retworkx.visualization import graphviz_draw  # pylint: disable=no-name-in-module,import-error
-
+from rustworkx.visualization import graphviz_draw  # pylint: disable=no-name-in-module
 from qiskit.dagcircuit.dagnode import DAGOpNode, DAGInNode, DAGOutNode
 from qiskit.circuit import Qubit
 from qiskit.utils import optionals as _optionals
@@ -29,8 +28,8 @@ def dag_drawer(dag, scale=0.7, filename=None, style="color"):
     """Plot the directed acyclic graph (dag) to represent operation dependencies
     in a quantum circuit.
 
-    This function calls the :func:`~retworkx.visualization.graphviz_draw` function from the ``retworkx``
-    package to draw the DAG.
+    This function calls the :func:`~rustworkx.visualization.graphviz_draw` function from the
+    ``rustworkx`` package to draw the DAG.
 
     Args:
         dag (DAGCircuit): The dag to draw.
diff --git a/qiskit/visualization/gate_map.py b/qiskit/visualization/gate_map.py
index 44ce2253f..1c38ef808 100644
--- a/qiskit/visualization/gate_map.py
+++ b/qiskit/visualization/gate_map.py
@@ -16,7 +16,7 @@ import math
 from typing import List
 
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.exceptions import QiskitError
 from qiskit.utils import optionals as _optionals
@@ -498,7 +498,7 @@ def plot_gate_map(
         qubit_coordinates = qubit_coordinates_map.get(num_qubits, None)
 
     if qubit_coordinates is None:
-        # Replace with planar_layout() when retworkx offers it
+        # Replace with planar_layout() when rustworkx offers it
         qubit_coordinates_rx = rx.spring_layout(coupling_map.graph, seed=1234)
         scaling_factor = 10 ** int(math.log10(num_qubits) + 1)
         qubit_coordinates = [
diff --git a/releasenotes/notes/rustworkx-not-retworkx-b7c4da600df58701.yaml b/releasenotes/notes/rustworkx-not-retworkx-b7c4da600df58701.yaml
new file mode 100644
index 000000000..0a1c5ba44
--- /dev/null
+++ b/releasenotes/notes/rustworkx-not-retworkx-b7c4da600df58701.yaml
@@ -0,0 +1,10 @@
+---
+upgrade:
+  - |
+    The ``retworkx`` dependency for Qiskit has been removed and replaced by
+    ``rustworkx`` library. These are the same packages, but ``rustworkx`` is
+    the new name for ``retworkx`` which was renamed as part of their combined
+    0.12.0 release. If you were previously using retworkx 0.12.0 with Qiskit
+    then you already installed rustworkx (retworkx 0.12.0 was just a redirect
+    shim for backwards compatibility). This change was made to migrate to the
+    new package name which will be the only supported package in the future.
diff --git a/requirements.txt b/requirements.txt
index d27187456..eda6daaf6 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,4 +1,4 @@
-retworkx>=0.11.0
+rustworkx>=0.12.0
 numpy>=1.17
 ply>=3.10
 psutil>=5
diff --git a/src/sabre_swap/mod.rs b/src/sabre_swap/mod.rs
index 1798a0dd0..eb718fbfc 100644
--- a/src/sabre_swap/mod.rs
+++ b/src/sabre_swap/mod.rs
@@ -29,10 +29,10 @@ use rand::prelude::SliceRandom;
 use rand::prelude::*;
 use rand_pcg::Pcg64Mcg;
 use rayon::prelude::*;
-use retworkx_core::dictmap::*;
-use retworkx_core::petgraph::prelude::*;
-use retworkx_core::petgraph::visit::EdgeRef;
-use retworkx_core::shortest_path::dijkstra;
+use rustworkx_core::dictmap::*;
+use rustworkx_core::petgraph::prelude::*;
+use rustworkx_core::petgraph::visit::EdgeRef;
+use rustworkx_core::shortest_path::dijkstra;
 
 use crate::getenv_use_multiple_threads;
 use crate::nlayout::NLayout;
diff --git a/src/sabre_swap/neighbor_table.rs b/src/sabre_swap/neighbor_table.rs
index 195875330..7568707da 100644
--- a/src/sabre_swap/neighbor_table.rs
+++ b/src/sabre_swap/neighbor_table.rs
@@ -22,7 +22,7 @@ use rayon::prelude::*;
 /// This object is typically created once from the adjacency matrix of
 /// a coupling map, for example::
 ///
-///     neigh_table = NeighborTable(retworkx.adjacency_matrix(coupling_map.graph))
+///     neigh_table = NeighborTable(rustworkx.adjacency_matrix(coupling_map.graph))
 ///
 /// and used solely to represent neighbors of each node in qiskit-terra's rust
 /// module.
diff --git a/src/sabre_swap/sabre_dag.rs b/src/sabre_swap/sabre_dag.rs
index 480dbb003..1992cc3fd 100644
--- a/src/sabre_swap/sabre_dag.rs
+++ b/src/sabre_swap/sabre_dag.rs
@@ -13,7 +13,7 @@
 use hashbrown::{HashMap, HashSet};
 use numpy::PyReadonlyArray1;
 use pyo3::prelude::*;
-use retworkx_core::petgraph::prelude::*;
+use rustworkx_core::petgraph::prelude::*;
 
 /// A DAG object used to represent the data interactions from a DAGCircuit
 /// to run the the sabre algorithm. This is structurally identical to the input
diff --git a/test/python/algorithms/minimum_eigensolvers/test_qaoa.py b/test/python/algorithms/minimum_eigensolvers/test_qaoa.py
index 8956b7943..071bda4b6 100644
--- a/test/python/algorithms/minimum_eigensolvers/test_qaoa.py
+++ b/test/python/algorithms/minimum_eigensolvers/test_qaoa.py
@@ -21,7 +21,7 @@ import numpy as np
 from scipy.optimize import minimize as scipy_minimize
 from ddt import ddt, idata, unpack
 
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit import QuantumCircuit
 from qiskit.algorithms.minimum_eigensolvers import QAOA
diff --git a/test/python/algorithms/test_measure_error_mitigation.py b/test/python/algorithms/test_measure_error_mitigation.py
index ba9a0d016..39ca299b2 100644
--- a/test/python/algorithms/test_measure_error_mitigation.py
+++ b/test/python/algorithms/test_measure_error_mitigation.py
@@ -17,7 +17,7 @@ import unittest
 from test.python.algorithms import QiskitAlgorithmsTestCase
 from ddt import ddt, data, unpack
 import numpy as np
-import retworkx as rx
+import rustworkx as rx
 from qiskit import QuantumCircuit, execute
 from qiskit.quantum_info import Pauli
 from qiskit.exceptions import QiskitError
diff --git a/test/python/algorithms/test_qaoa.py b/test/python/algorithms/test_qaoa.py
index 95064b300..2998c1f17 100644
--- a/test/python/algorithms/test_qaoa.py
+++ b/test/python/algorithms/test_qaoa.py
@@ -20,7 +20,7 @@ import math
 import numpy as np
 from scipy.optimize import minimize as scipy_minimize
 from ddt import ddt, idata, unpack
-import retworkx as rx
+import rustworkx as rx
 
 from qiskit.algorithms import QAOA
 from qiskit.algorithms.optimizers import COBYLA, NELDER_MEAD
diff --git a/test/python/dagcircuit/test_dagcircuit.py b/test/python/dagcircuit/test_dagcircuit.py
index 3d6fd3f19..ed4e224a7 100644
--- a/test/python/dagcircuit/test_dagcircuit.py
+++ b/test/python/dagcircuit/test_dagcircuit.py
@@ -17,7 +17,7 @@ import unittest
 
 from ddt import ddt, data
 
-import retworkx as rx
+import rustworkx as rx
 from numpy import pi
 
 from qiskit.dagcircuit import DAGCircuit, DAGOpNode, DAGInNode, DAGOutNode
diff --git a/test/python/dagcircuit/test_dagdependency.py b/test/python/dagcircuit/test_dagdependency.py
index 0bec2cee3..011584dde 100644
--- a/test/python/dagcircuit/test_dagdependency.py
+++ b/test/python/dagcircuit/test_dagdependency.py
@@ -24,7 +24,7 @@ from qiskit.converters import circuit_to_dagdependency
 from qiskit.test import QiskitTestCase
 
 try:
-    import retworkx as rx
+    import rustworkx as rx
 except ImportError:
     pass
 
diff --git a/test/python/transpiler/test_token_swapper.py b/test/python/transpiler/test_token_swapper.py
index d8014614b..24225f4a3 100644
--- a/test/python/transpiler/test_token_swapper.py
+++ b/test/python/transpiler/test_token_swapper.py
@@ -28,7 +28,7 @@
 
 import itertools
 
-import retworkx as rx
+import rustworkx as rx
 from numpy import random
 from qiskit.transpiler.passes.routing.algorithms import ApproximateTokenSwapper
 from qiskit.transpiler.passes.routing.algorithms import util
diff --git a/test/python/transpiler/test_vf2_layout.py b/test/python/transpiler/test_vf2_layout.py
index 15746e2d3..580e1d6fe 100644
--- a/test/python/transpiler/test_vf2_layout.py
+++ b/test/python/transpiler/test_vf2_layout.py
@@ -17,7 +17,7 @@ from math import pi
 
 import ddt
 import numpy
-import retworkx
+import rustworkx
 
 from qiskit import QuantumRegister, QuantumCircuit, ClassicalRegister
 from qiskit.circuit import ControlFlowOp
@@ -254,12 +254,12 @@ class TestVF2LayoutLattice(LayoutTestCase):
 
     def graph_state_from_pygraph(self, graph):
         """Creates a GraphState circuit from a PyGraph"""
-        adjacency_matrix = retworkx.adjacency_matrix(graph)
+        adjacency_matrix = rustworkx.adjacency_matrix(graph)
         return GraphState(adjacency_matrix).decompose()
 
     def test_hexagonal_lattice_graph_20_in_25(self):
         """A 20x20 interaction map in 25x25 coupling map"""
-        graph_20_20 = retworkx.generators.hexagonal_lattice_graph(20, 20)
+        graph_20_20 = rustworkx.generators.hexagonal_lattice_graph(20, 20)
         circuit = self.graph_state_from_pygraph(graph_20_20)
 
         dag = circuit_to_dag(circuit)
@@ -269,7 +269,7 @@ class TestVF2LayoutLattice(LayoutTestCase):
 
     def test_hexagonal_lattice_graph_9_in_25(self):
         """A 9x9 interaction map in 25x25 coupling map"""
-        graph_9_9 = retworkx.generators.hexagonal_lattice_graph(9, 9)
+        graph_9_9 = rustworkx.generators.hexagonal_lattice_graph(9, 9)
         circuit = self.graph_state_from_pygraph(graph_9_9)
 
         dag = circuit_to_dag(circuit)
diff --git a/test/python/transpiler/test_vf2_post_layout.py b/test/python/transpiler/test_vf2_post_layout.py
index c89dbd8ca..92807ed3e 100644
--- a/test/python/transpiler/test_vf2_post_layout.py
+++ b/test/python/transpiler/test_vf2_post_layout.py
@@ -12,7 +12,7 @@
 
 """Test the VF2Layout pass"""
 
-import retworkx
+import rustworkx
 
 from qiskit import QuantumRegister, QuantumCircuit
 from qiskit.circuit import ControlFlowOp
@@ -365,7 +365,7 @@ class TestVF2PostLayoutScoring(QiskitTestCase):
         """Test error rate is 0 for empty circuit."""
         bit_map = {}
         reverse_bit_map = {}
-        im_graph = retworkx.PyDiGraph()
+        im_graph = rustworkx.PyDiGraph()
         backend = FakeYorktownV2()
         vf2_pass = VF2PostLayout(target=backend.target)
         layout = Layout()
@@ -376,7 +376,7 @@ class TestVF2PostLayoutScoring(QiskitTestCase):
         """Test error rate for all 1q input."""
         bit_map = {Qubit(): 0, Qubit(): 1}
         reverse_bit_map = {v: k for k, v in bit_map.items()}
-        im_graph = retworkx.PyDiGraph()
+        im_graph = rustworkx.PyDiGraph()
         im_graph.add_node({"sx": 1})
         im_graph.add_node({"sx": 1})
         backend = FakeYorktownV2()
@@ -389,7 +389,7 @@ class TestVF2PostLayoutScoring(QiskitTestCase):
         """Test average scoring for all 1q input."""
         bit_map = {Qubit(): 0, Qubit(): 1}
         reverse_bit_map = {v: k for k, v in bit_map.items()}
-        im_graph = retworkx.PyDiGraph()
+        im_graph = rustworkx.PyDiGraph()
         im_graph.add_node({"sx": 1})
         im_graph.add_node({"sx": 1})
         backend = FakeYorktownV2()