UniformDistribution

class UniformDistribution(num_qubits, name='P(X)')

Bases: QuantumCircuit

A circuit to encode a discretized uniform distribution in qubit amplitudes.

This simply corresponds to applying Hadamard gates on all qubits.

The probability density function of the discretized uniform distribution on $N$ values is

$$\mathbb{P}(X=x)=\frac{1}{N}.$$

This circuit considers $N=2^n$, where $n=$ num_qubits and prepares the state

$${\mathcal{P}}_X|0{⟩}^{\otimes n}=\frac{1}{\sqrt{2^n}}\sum _{x=0}^{2^n-1}|x⟩$$

Examples

>>> from qiskit_finance.circuit.library.probability_distributions import UniformDistribution
>>> circuit = UniformDistribution(3)
>>> circuit.decompose().draw()
     ┌───┐
q_0: ┤ H ├
     ├───┤
q_1: ┤ H ├
     ├───┤
q_2: ┤ H ├
     └───┘

Parameters:

• num_qubits (int) – The number of qubits in the circuit, the distribution is uniform over 2 ** num_qubits values.

• name (str) – The name of the circuit.

Attributes

Methods