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---
title: BernoulliDistribution
description: API reference for qiskit.aqua.components.uncertainty_models.BernoulliDistribution
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.aqua.components.uncertainty_models.BernoulliDistribution
---
<span id="qiskit-aqua-components-uncertainty-models-bernoullidistribution" />
# qiskit.aqua.components.uncertainty\_models.BernoulliDistribution
<Class id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution" isDedicatedPage={true} github="https://github.com/qiskit-community/qiskit-aqua/tree/stable/0.8/qiskit/aqua/components/uncertainty_models/bernoulli_distribution.py" signature="BernoulliDistribution(p, low=0, high=1)" modifiers="class">
The Univariate Bernoulli Distribution.
Distribution with only two values (low, high) and the corresponding probabilities represented by a single qubit.
**Parameters**
* **p** (`float`) Probability
* **low** (`float`) Low value
* **high** (`float`) High value
### \_\_init\_\_
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.__init__" signature="__init__(p, low=0, high=1)">
**Parameters**
* **p** (`float`) Probability
* **low** (`float`) Low value
* **high** (`float`) High value
</Function>
## Methods
| | |
| ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------ |
| [`__init__`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.__init__ "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.__init__")(p\[, low, high]) | **type p**`float` |
| [`build`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build")(qc, q\[, q\_ancillas, params]) | |
| [`build_controlled`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled")(qc, q, q\_control\[, …]) | Adds corresponding controlled sub-circuit to given circuit |
| [`build_controlled_inverse`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_inverse "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_inverse")(qc, q, q\_control\[, …]) | Adds controlled inverse of corresponding sub-circuit to given circuit |
| [`build_controlled_inverse_power`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_inverse_power "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_inverse_power")(qc, q, …\[, …]) | Adds controlled, inverse, power of corresponding circuit. |
| [`build_controlled_power`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_power "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_power")(qc, q, q\_control, power) | Adds controlled power of corresponding circuit. |
| [`build_inverse`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_inverse "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_inverse")(qc, q\[, q\_ancillas]) | Adds inverse of corresponding sub-circuit to given circuit |
| [`build_inverse_power`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_inverse_power "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_inverse_power")(qc, q, power\[, q\_ancillas]) | Adds inverse power of corresponding circuit. |
| [`build_power`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_power "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_power")(qc, q, power\[, q\_ancillas]) | Adds power of corresponding circuit. |
| [`get_num_qubits`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.get_num_qubits "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.get_num_qubits")() | returns number of qubits |
| [`get_num_qubits_controlled`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.get_num_qubits_controlled "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.get_num_qubits_controlled")() | returns number of qubits controlled |
| [`pdf_to_probabilities`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.pdf_to_probabilities "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.pdf_to_probabilities")(pdf, low, high, num\_values) | Takes a probability density function (pdf), and returns a truncated and discretized array of probabilities corresponding to it |
| [`required_ancillas`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.required_ancillas "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.required_ancillas")() | returns required ancillas |
| [`required_ancillas_controlled`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.required_ancillas_controlled "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.required_ancillas_controlled")() | returns required ancillas controlled |
## Attributes
| | |
| --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ----------------------------------- |
| [`high`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.high "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.high") | returns high |
| [`low`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.low "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.low") | returns low |
| [`num_target_qubits`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.num_target_qubits "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.num_target_qubits") | Returns the number of target qubits |
| [`num_values`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.num_values "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.num_values") | returns number of values |
| [`p`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.p "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.p") | |
| [`probabilities`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.probabilities "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.probabilities") | returns probabilities |
| [`values`](#qiskit.aqua.components.uncertainty_models.BernoulliDistribution.values "qiskit.aqua.components.uncertainty_models.BernoulliDistribution.values") | returns values |
### build
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build" signature="build(qc, q, q_ancillas=None, params=None)" />
### build\_controlled
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled" signature="build_controlled(qc, q, q_control, q_ancillas=None, use_basis_gates=True)">
Adds corresponding controlled sub-circuit to given circuit
**Parameters**
* **qc** ([*QuantumCircuit*](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")) quantum circuit
* **q** (*list*) list of qubits (has to be same length as self.\_num\_qubits)
* **q\_control** ([*Qubit*](qiskit.circuit.Qubit "qiskit.circuit.Qubit")) control qubit
* **q\_ancillas** (*list*) list of ancilla qubits (or None if none needed)
* **use\_basis\_gates** (*bool*) use basis gates for expansion of controlled circuit
</Function>
### build\_controlled\_inverse
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_inverse" signature="build_controlled_inverse(qc, q, q_control, q_ancillas=None, use_basis_gates=True)">
Adds controlled inverse of corresponding sub-circuit to given circuit
**Parameters**
* **qc** ([*QuantumCircuit*](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")) quantum circuit
* **q** (*list*) list of qubits (has to be same length as self.\_num\_qubits)
* **q\_control** ([*Qubit*](qiskit.circuit.Qubit "qiskit.circuit.Qubit")) control qubit
* **q\_ancillas** (*list*) list of ancilla qubits (or None if none needed)
* **use\_basis\_gates** (*bool*) use basis gates for expansion of controlled circuit
</Function>
### build\_controlled\_inverse\_power
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_inverse_power" signature="build_controlled_inverse_power(qc, q, q_control, power, q_ancillas=None, use_basis_gates=True)">
Adds controlled, inverse, power of corresponding circuit. May be overridden if a more efficient implementation is possible
</Function>
### build\_controlled\_power
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_controlled_power" signature="build_controlled_power(qc, q, q_control, power, q_ancillas=None, use_basis_gates=True)">
Adds controlled power of corresponding circuit. May be overridden if a more efficient implementation is possible
</Function>
### build\_inverse
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_inverse" signature="build_inverse(qc, q, q_ancillas=None)">
Adds inverse of corresponding sub-circuit to given circuit
**Parameters**
* **qc** ([*QuantumCircuit*](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit")) quantum circuit
* **q** (*list*) list of qubits (has to be same length as self.\_num\_qubits)
* **q\_ancillas** (*list*) list of ancilla qubits (or None if none needed)
</Function>
### build\_inverse\_power
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_inverse_power" signature="build_inverse_power(qc, q, power, q_ancillas=None)">
Adds inverse power of corresponding circuit. May be overridden if a more efficient implementation is possible
</Function>
### build\_power
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.build_power" signature="build_power(qc, q, power, q_ancillas=None)">
Adds power of corresponding circuit. May be overridden if a more efficient implementation is possible
</Function>
### get\_num\_qubits
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.get_num_qubits" signature="get_num_qubits()">
returns number of qubits
</Function>
### get\_num\_qubits\_controlled
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.get_num_qubits_controlled" signature="get_num_qubits_controlled()">
returns number of qubits controlled
</Function>
### high
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.high">
returns high
</Attribute>
### low
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.low">
returns low
</Attribute>
### num\_target\_qubits
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.num_target_qubits">
Returns the number of target qubits
</Attribute>
### num\_values
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.num_values">
returns number of values
</Attribute>
### p
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.p" />
### pdf\_to\_probabilities
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.pdf_to_probabilities" signature="pdf_to_probabilities(pdf, low, high, num_values)" modifiers="static">
Takes a probability density function (pdf), and returns a truncated and discretized array of probabilities corresponding to it
**Parameters**
* **pdf** (*function*) probability density function
* **low** (*float*) lower bound of equidistant grid
* **high** (*float*) upper bound of equidistant grid
* **num\_values** (*int*) number of grid points
**Returns**
array of probabilities
**Return type**
list
</Function>
### probabilities
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.probabilities">
returns probabilities
</Attribute>
### required\_ancillas
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.required_ancillas" signature="required_ancillas()">
returns required ancillas
</Function>
### required\_ancillas\_controlled
<Function id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.required_ancillas_controlled" signature="required_ancillas_controlled()">
returns required ancillas controlled
</Function>
### values
<Attribute id="qiskit.aqua.components.uncertainty_models.BernoulliDistribution.values">
returns values
</Attribute>
</Class>