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---
title: CouplingMap
description: API reference for qiskit.transpiler.CouplingMap
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.transpiler.CouplingMap
---
# CouplingMap
<Class id="qiskit.transpiler.CouplingMap" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.22/qiskit/transpiler/coupling.py" signature="CouplingMap(couplinglist=None, description=None)" modifiers="class">
Bases: `object`
Directed graph specifying fixed coupling.
Nodes correspond to physical qubits (integers) and directed edges correspond to permitted CNOT gates, with source and destination corresponding to control and target qubits, respectively.
Create coupling graph. By default, the generated coupling has no nodes.
**Parameters**
* **couplinglist** (*list or None*) An initial coupling graph, specified as an adjacency list containing couplings, e.g. \[\[0,1], \[0,2], \[1,2]]. It is required that nodes are contiguously indexed starting at 0. Missed nodes will be added as isolated nodes in the coupling map.
* **description** (*str*) A string to describe the coupling map.
## Methods
### add\_edge
<Function id="qiskit.transpiler.CouplingMap.add_edge" signature="CouplingMap.add_edge(src, dst)">
Add directed edge to coupling graph.
src (int): source physical qubit dst (int): destination physical qubit
</Function>
### add\_physical\_qubit
<Function id="qiskit.transpiler.CouplingMap.add_physical_qubit" signature="CouplingMap.add_physical_qubit(physical_qubit)">
Add a physical qubit to the coupling graph as a node.
physical\_qubit (int): An integer representing a physical qubit.
**Raises**
**CouplingError** if trying to add duplicate qubit
</Function>
### compute\_distance\_matrix
<Function id="qiskit.transpiler.CouplingMap.compute_distance_matrix" signature="CouplingMap.compute_distance_matrix()">
Compute the full distance matrix on pairs of nodes.
The distance map self.\_dist\_matrix is computed from the graph using all\_pairs\_shortest\_path\_length. This is normally handled internally by the [`distance_matrix`](qiskit.transpiler.CouplingMap#distance_matrix "qiskit.transpiler.CouplingMap.distance_matrix") attribute or the [`distance()`](qiskit.transpiler.CouplingMap#distance "qiskit.transpiler.CouplingMap.distance") method but can be called if youre accessing the distance matrix outside of those or want to pre-generate it.
</Function>
### distance
<Function id="qiskit.transpiler.CouplingMap.distance" signature="CouplingMap.distance(physical_qubit1, physical_qubit2)">
Returns the undirected distance between physical\_qubit1 and physical\_qubit2.
**Parameters**
* **physical\_qubit1** (*int*) A physical qubit
* **physical\_qubit2** (*int*) Another physical qubit
**Returns**
The undirected distance
**Return type**
int
**Raises**
**CouplingError** if the qubits do not exist in the CouplingMap
</Function>
### draw
<Function id="qiskit.transpiler.CouplingMap.draw" signature="CouplingMap.draw()">
Draws the coupling map.
This function calls the `graphviz_draw()` function from the `retworkx` package to draw the [`CouplingMap`](qiskit.transpiler.CouplingMap "qiskit.transpiler.CouplingMap") object.
**Returns**
Drawn coupling map.
**Return type**
PIL.Image
</Function>
### from\_full
<Function id="qiskit.transpiler.CouplingMap.from_full" signature="CouplingMap.from_full(num_qubits, bidirectional=True)" modifiers="classmethod">
Return a fully connected coupling map on n qubits.
**Return type**
[`CouplingMap`](qiskit.transpiler.CouplingMap "qiskit.transpiler.coupling.CouplingMap")
</Function>
### from\_grid
<Function id="qiskit.transpiler.CouplingMap.from_grid" signature="CouplingMap.from_grid(num_rows, num_columns, bidirectional=True)" modifiers="classmethod">
Return a coupling map of qubits connected on a grid of num\_rows x num\_columns.
**Return type**
[`CouplingMap`](qiskit.transpiler.CouplingMap "qiskit.transpiler.coupling.CouplingMap")
</Function>
### from\_heavy\_hex
<Function id="qiskit.transpiler.CouplingMap.from_heavy_hex" signature="CouplingMap.from_heavy_hex(distance, bidirectional=True)" modifiers="classmethod">
Return a heavy hexagon graph coupling map.
A heavy hexagon graph is described in:
[https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.011022](https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.011022)
**Parameters**
* **distance** (*int*) The code distance for the generated heavy hex graph. The value for distance can be any odd positive integer. The distance relates to the number of qubits by: $n = \frac{5d^2 - 2d - 1}{2}$ where $n$ is the number of qubits and $d$ is the `distance` parameter.
* **bidirectional** (*bool*) Whether the edges in the output coupling graph are bidirectional or not. By default this is set to `True`
**Returns**
A heavy hex coupling graph
**Return type**
[CouplingMap](qiskit.transpiler.CouplingMap "qiskit.transpiler.CouplingMap")
</Function>
### from\_heavy\_square
<Function id="qiskit.transpiler.CouplingMap.from_heavy_square" signature="CouplingMap.from_heavy_square(distance, bidirectional=True)" modifiers="classmethod">
Return a heavy square graph coupling map.
A heavy square graph is described in:
[https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.011022](https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.011022)
**Parameters**
* **distance** (*int*) The code distance for the generated heavy square graph. The value for distance can be any odd positive integer. The distance relates to the number of qubits by: $n = 3d^2 - 2d$ where $n$ is the number of qubits and $d$ is the `distance` parameter.
* **bidirectional** (*bool*) Whether the edges in the output coupling graph are bidirectional or not. By default this is set to `True`
**Returns**
A heavy square coupling graph
**Return type**
[CouplingMap](qiskit.transpiler.CouplingMap "qiskit.transpiler.CouplingMap")
</Function>
### from\_hexagonal\_lattice
<Function id="qiskit.transpiler.CouplingMap.from_hexagonal_lattice" signature="CouplingMap.from_hexagonal_lattice(rows, cols, bidirectional=True)" modifiers="classmethod">
Return a hexagonal lattice graph coupling map.
**Parameters**
* **rows** (*int*) The number of rows to generate the graph with.
* **cols** (*int*) The number of columns to generate the graph with.
* **bidirectional** (*bool*) Whether the edges in the output coupling graph are bidirectional or not. By default this is set to `True`
**Returns**
A hexagonal lattice coupling graph
**Return type**
[CouplingMap](qiskit.transpiler.CouplingMap "qiskit.transpiler.CouplingMap")
</Function>
### from\_line
<Function id="qiskit.transpiler.CouplingMap.from_line" signature="CouplingMap.from_line(num_qubits, bidirectional=True)" modifiers="classmethod">
Return a coupling map of n qubits connected in a line.
**Return type**
[`CouplingMap`](qiskit.transpiler.CouplingMap "qiskit.transpiler.coupling.CouplingMap")
</Function>
### from\_ring
<Function id="qiskit.transpiler.CouplingMap.from_ring" signature="CouplingMap.from_ring(num_qubits, bidirectional=True)" modifiers="classmethod">
Return a coupling map of n qubits connected to each of their neighbors in a ring.
**Return type**
[`CouplingMap`](qiskit.transpiler.CouplingMap "qiskit.transpiler.coupling.CouplingMap")
</Function>
### get\_edges
<Function id="qiskit.transpiler.CouplingMap.get_edges" signature="CouplingMap.get_edges()">
Gets the list of edges in the coupling graph.
**Returns**
Each edge is a pair of physical qubits.
**Return type**
Tuple(int,int)
</Function>
### is\_connected
<Function id="qiskit.transpiler.CouplingMap.is_connected" signature="CouplingMap.is_connected()">
Test if the graph is connected.
Return True if connected, False otherwise
</Function>
### largest\_connected\_component
<Function id="qiskit.transpiler.CouplingMap.largest_connected_component" signature="CouplingMap.largest_connected_component()">
Return a set of qubits in the largest connected component.
</Function>
### make\_symmetric
<Function id="qiskit.transpiler.CouplingMap.make_symmetric" signature="CouplingMap.make_symmetric()">
Convert uni-directional edges into bi-directional.
</Function>
### neighbors
<Function id="qiskit.transpiler.CouplingMap.neighbors" signature="CouplingMap.neighbors(physical_qubit)">
Return the nearest neighbors of a physical qubit.
Directionality matters, i.e. a neighbor must be reachable by going one hop in the direction of an edge.
</Function>
### reduce
<Function id="qiskit.transpiler.CouplingMap.reduce" signature="CouplingMap.reduce(mapping)">
Returns a reduced coupling map that corresponds to the subgraph of qubits selected in the mapping.
**Parameters**
**mapping** (*list*) A mapping of reduced qubits to device qubits.
**Returns**
A reduced coupling\_map for the selected qubits.
**Return type**
[CouplingMap](qiskit.transpiler.CouplingMap "qiskit.transpiler.CouplingMap")
**Raises**
**CouplingError** Reduced coupling map must be connected.
</Function>
### shortest\_undirected\_path
<Function id="qiskit.transpiler.CouplingMap.shortest_undirected_path" signature="CouplingMap.shortest_undirected_path(physical_qubit1, physical_qubit2)">
Returns the shortest undirected path between physical\_qubit1 and physical\_qubit2.
**Parameters**
* **physical\_qubit1** (*int*) A physical qubit
* **physical\_qubit2** (*int*) Another physical qubit
**Returns**
The shortest undirected path
**Return type**
List
**Raises**
**CouplingError** When there is no path between physical\_qubit1, physical\_qubit2.
</Function>
### size
<Function id="qiskit.transpiler.CouplingMap.size" signature="CouplingMap.size()">
Return the number of physical qubits in this graph.
</Function>
### subgraph
<Function id="qiskit.transpiler.CouplingMap.subgraph" signature="CouplingMap.subgraph(nodelist)">
Return a CouplingMap object for a subgraph of self.
nodelist (list): list of integer node labels
</Function>
## Attributes
### description
<Attribute id="qiskit.transpiler.CouplingMap.description" />
### graph
<Attribute id="qiskit.transpiler.CouplingMap.graph" />
### distance\_matrix
<Attribute id="qiskit.transpiler.CouplingMap.distance_matrix">
Return the distance matrix for the coupling map.
</Attribute>
### is\_symmetric
<Attribute id="qiskit.transpiler.CouplingMap.is_symmetric">
Test if the graph is symmetric.
Return True if symmetric, False otherwise
</Attribute>
### physical\_qubits
<Attribute id="qiskit.transpiler.CouplingMap.physical_qubits">
Returns a sorted list of physical\_qubits
</Attribute>
</Class>