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---
title: MultivariateNormalDistribution
description: API reference for qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution
---
# MultivariateNormalDistribution
<Class id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution" isDedicatedPage={true} github="https://github.com/qiskit-community/qiskit-aqua/tree/stable/0.9/qiskit/aqua/components/uncertainty_models/multivariate_normal_distribution.py" signature="MultivariateNormalDistribution(num_qubits, low=None, high=None, mu=None, sigma=None)" modifiers="class">
Bases: `qiskit.aqua.components.uncertainty_models.multivariate_distribution.MultivariateDistribution`
The Multivariate Normal Distribution.
Provides a discretized and truncated normal distribution loaded into a quantum state. Truncation bounds are given by lower and upper bound and discretization is specified by the number of qubits per dimension.
**Parameters**
* **num\_qubits** (`Union`\[`List`\[`int`], `ndarray`]) Number of qubits per dimension
* **low** (`Union`\[`List`\[`float`], `ndarray`, `None`]) Lower bounds per dimension
* **high** (`Union`\[`List`\[`float`], `ndarray`, `None`]) Upper bounds per dimension
* **mu** (`Union`\[`List`\[`float`], `ndarray`, `None`]) Expected values
* **sigma** (`Union`\[`List`\[`float`], `ndarray`, `None`]) Co-variance matrix
## Methods
### build
<Function id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.build" signature="MultivariateNormalDistribution.build(qc, q, q_ancillas=None, params=None)" />
### build\_controlled
<Function id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.build_controlled" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.build_controlled_inverse" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.build_controlled_inverse_power" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.build_controlled_power" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.build_inverse" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.build_inverse_power" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.build_power" signature="MultivariateNormalDistribution.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.MultivariateNormalDistribution.get_num_qubits" signature="MultivariateNormalDistribution.get_num_qubits()">
returns number of qubits
</Function>
### get\_num\_qubits\_controlled
<Function id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.get_num_qubits_controlled" signature="MultivariateNormalDistribution.get_num_qubits_controlled()">
returns number of qubits controlled
</Function>
### pdf\_to\_probabilities
<Function id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.pdf_to_probabilities" signature="MultivariateNormalDistribution.pdf_to_probabilities(pdf, low, high, num_values)" modifiers="static">
pdf to probabilities
</Function>
### required\_ancillas
<Function id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.required_ancillas" signature="MultivariateNormalDistribution.required_ancillas()">
returns required ancillas
</Function>
### required\_ancillas\_controlled
<Function id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.required_ancillas_controlled" signature="MultivariateNormalDistribution.required_ancillas_controlled()">
returns required ancillas controlled
</Function>
## Attributes
### dimension
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.dimension">
returns dimensions
</Attribute>
### high
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.high">
returns high
</Attribute>
### low
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.low">
returns low
</Attribute>
### num\_qubits
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.num_qubits">
returns num qubits
</Attribute>
### num\_target\_qubits
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.num_target_qubits">
Returns the number of target qubits
</Attribute>
### num\_values
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.num_values">
returns number of values
</Attribute>
### probabilities
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.probabilities">
returns probabilities
</Attribute>
### probabilities\_vector
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.probabilities_vector">
returns probabilities vector
</Attribute>
### values
<Attribute id="qiskit.aqua.components.uncertainty_models.MultivariateNormalDistribution.values">
returns values
</Attribute>
</Class>