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---
title: VBERippleCarryAdder
description: API reference for qiskit.circuit.library.VBERippleCarryAdder
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.circuit.library.VBERippleCarryAdder
---
# VBERippleCarryAdder
<Class id="qiskit.circuit.library.VBERippleCarryAdder" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.23/qiskit/circuit/library/arithmetic/adders/vbe_ripple_carry_adder.py" signature="VBERippleCarryAdder(num_state_qubits, kind='full', name='VBERippleCarryAdder')" modifiers="class">
Bases: `qiskit.circuit.library.arithmetic.adders.adder.Adder`
The VBE ripple carry adder \[1].
This circuit performs inplace addition of two equally-sized quantum registers. As an example, a classical adder circuit that performs full addition (i.e. including a carry-in bit) on two 2-qubit sized registers is as follows:
```python
┌────────┐ ┌───────────┐┌──────┐
cin_0: ┤0 ├───────────────────────┤0 ├┤0 ├
│ │ │ ││ │
a_0: ┤1 ├───────────────────────┤1 ├┤1 ├
│ │┌────────┐ ┌──────┐│ ││ Sum │
a_1: ┤ ├┤1 ├──■──┤1 ├┤ ├┤ ├
│ ││ │ │ │ ││ ││ │
b_0: ┤2 Carry ├┤ ├──┼──┤ ├┤2 Carry_dg ├┤2 ├
│ ││ │┌─┴─┐│ ││ │└──────┘
b_1: ┤ ├┤2 Carry ├┤ X ├┤2 Sum ├┤ ├────────
│ ││ │└───┘│ ││ │
cout_0: ┤ ├┤3 ├─────┤ ├┤ ├────────
│ ││ │ │ ││ │
helper_0: ┤3 ├┤0 ├─────┤0 ├┤3 ├────────
└────────┘└────────┘ └──────┘└───────────┘
```
Here *Carry* and *Sum* gates correspond to the gates introduced in \[1]. *Carry\_dg* correspond to the inverse of the *Carry* gate. Note that in this implementation the input register qubits are ordered as all qubits from the first input register, followed by all qubits from the second input register. This is different ordering as compared to Figure 2 in \[1], which leads to a different drawing of the circuit.
**References:**
\[1] Vedral et al., Quantum Networks for Elementary Arithmetic Operations, 1995. [arXiv:quant-ph/9511018](https://arxiv.org/pdf/quant-ph/9511018.pdf)
**Parameters**
* **num\_state\_qubits** (`int`) The size of the register.
* **kind** (`str`) The kind of adder, can be `'full'` for a full adder, `'half'` for a half adder, or `'fixed'` for a fixed-sized adder. A full adder includes both carry-in and carry-out, a half only carry-out, and a fixed-sized adder neither carry-in nor carry-out.
* **name** (`str`) The name of the circuit.
**Raises**
**ValueError** If `num_state_qubits` is lower than 1.
## Attributes
### ancillas
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.ancillas">
Returns a list of ancilla bits in the order that the registers were added.
**Return type**
`List`\[[`AncillaQubit`](qiskit.circuit.AncillaQubit "qiskit.circuit.quantumregister.AncillaQubit")]
</Attribute>
### calibrations
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.calibrations">
Return calibration dictionary.
The custom pulse definition of a given gate is of the form `{'gate_name': {(qubits, params): schedule}}`
**Return type**
`dict`
</Attribute>
### clbits
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.clbits">
Returns a list of classical bits in the order that the registers were added.
**Return type**
`List`\[[`Clbit`](qiskit.circuit.Clbit "qiskit.circuit.classicalregister.Clbit")]
</Attribute>
### data
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.data">
Return the circuit data (instructions and context).
**Returns**
a list-like object containing the [`CircuitInstruction`](qiskit.circuit.CircuitInstruction "qiskit.circuit.CircuitInstruction")s for each instruction.
**Return type**
QuantumCircuitData
</Attribute>
### extension\_lib
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.extension_lib" attributeValue="'include &#x22;qelib1.inc&#x22;;'" />
### global\_phase
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.global_phase">
Return the global phase of the circuit in radians.
**Return type**
`Union`\[[`ParameterExpression`](qiskit.circuit.ParameterExpression "qiskit.circuit.parameterexpression.ParameterExpression"), `float`]
</Attribute>
### header
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.header" attributeValue="'OPENQASM 2.0;'" />
### instances
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.instances" attributeValue="2737" />
### metadata
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.metadata">
The user provided metadata associated with the circuit
The metadata for the circuit is a user provided `dict` of metadata for the circuit. It will not be used to influence the execution or operation of the circuit, but it is expected to be passed between all transforms of the circuit (ie transpilation) and that providers will associate any circuit metadata with the results it returns from execution of that circuit.
**Return type**
`dict`
</Attribute>
### num\_ancillas
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.num_ancillas">
Return the number of ancilla qubits.
**Return type**
`int`
</Attribute>
### num\_clbits
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.num_clbits">
Return number of classical bits.
**Return type**
`int`
</Attribute>
### num\_parameters
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.num_parameters">
The number of parameter objects in the circuit.
**Return type**
`int`
</Attribute>
### num\_qubits
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.num_qubits">
Return number of qubits.
**Return type**
`int`
</Attribute>
### num\_state\_qubits
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.num_state_qubits">
The number of state qubits, i.e. the number of bits in each input register.
**Return type**
`int`
**Returns**
The number of state qubits.
</Attribute>
### op\_start\_times
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.op_start_times">
Return a list of operation start times.
This attribute is enabled once one of scheduling analysis passes runs on the quantum circuit.
**Return type**
`List`\[`int`]
**Returns**
List of integers representing instruction start times. The index corresponds to the index of instruction in `QuantumCircuit.data`.
**Raises**
**AttributeError** When circuit is not scheduled.
</Attribute>
### parameters
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.parameters">
The parameters defined in the circuit.
This attribute returns the [`Parameter`](qiskit.circuit.Parameter "qiskit.circuit.Parameter") objects in the circuit sorted alphabetically. Note that parameters instantiated with a [`ParameterVector`](qiskit.circuit.ParameterVector "qiskit.circuit.ParameterVector") are still sorted numerically.
**Examples**
The snippet below shows that insertion order of parameters does not matter.
```python
>>> from qiskit.circuit import QuantumCircuit, Parameter
>>> a, b, elephant = Parameter("a"), Parameter("b"), Parameter("elephant")
>>> circuit = QuantumCircuit(1)
>>> circuit.rx(b, 0)
>>> circuit.rz(elephant, 0)
>>> circuit.ry(a, 0)
>>> circuit.parameters # sorted alphabetically!
ParameterView([Parameter(a), Parameter(b), Parameter(elephant)])
```
Bear in mind that alphabetical sorting might be unituitive when it comes to numbers. The literal “10” comes before “2” in strict alphabetical sorting.
```python
>>> from qiskit.circuit import QuantumCircuit, Parameter
>>> angles = [Parameter("angle_1"), Parameter("angle_2"), Parameter("angle_10")]
>>> circuit = QuantumCircuit(1)
>>> circuit.u(*angles, 0)
>>> circuit.draw()
┌─────────────────────────────┐
q: ┤ U(angle_1,angle_2,angle_10) ├
└─────────────────────────────┘
>>> circuit.parameters
ParameterView([Parameter(angle_1), Parameter(angle_10), Parameter(angle_2)])
```
To respect numerical sorting, a [`ParameterVector`](qiskit.circuit.ParameterVector "qiskit.circuit.ParameterVector") can be used.
```python
```
```python
>>> from qiskit.circuit import QuantumCircuit, Parameter, ParameterVector
>>> x = ParameterVector("x", 12)
>>> circuit = QuantumCircuit(1)
>>> for x_i in x:
... circuit.rx(x_i, 0)
>>> circuit.parameters
ParameterView([
ParameterVectorElement(x[0]), ParameterVectorElement(x[1]),
ParameterVectorElement(x[2]), ParameterVectorElement(x[3]),
..., ParameterVectorElement(x[11])
])
```
**Return type**
`ParameterView`
**Returns**
The sorted [`Parameter`](qiskit.circuit.Parameter "qiskit.circuit.Parameter") objects in the circuit.
</Attribute>
### prefix
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.prefix" attributeValue="'circuit'" />
### qubits
<Attribute id="qiskit.circuit.library.VBERippleCarryAdder.qubits">
Returns a list of quantum bits in the order that the registers were added.
**Return type**
`List`\[[`Qubit`](qiskit.circuit.Qubit "qiskit.circuit.quantumregister.Qubit")]
</Attribute>
</Class>