2
$\begingroup$

Can someone suggest me a way to load a distribution (for example a discretized Gaussian distribution) into a quantum computer using a quantum circuit?

I tried to implement the code using Qiskit.

$\endgroup$
1
$\begingroup$

Several quantum circuit representations for common distributions are given in uncertainty models. For generic probability distributions, you can train a quantum circuit representation using quantum generative adversarial networks. For a respective tutorial, please see here.

| improve this answer | |
$\endgroup$
0
$\begingroup$

There are practical examples in Qiskit on how to use common probability distributions with uncertainty models. Let us refer to the following example from Qiskit-AQUA (Algorithms for QUantum computing Applications) on using amplitude estimation algorithm to evaluate a fixed income asset with uncertain interest rates.

import numpy as np
from qiskit import BasicAer
from qiskit.aqua.algorithms import AmplitudeEstimation
from qiskit.aqua.components.uncertainty_models import MultivariateNormalDistribution
from qiskit.finance.components.uncertainty_problems import FixedIncomeExpectedValue

# Create a suitable multivariate distribution
mvnd = MultivariateNormalDistribution(num_qubits=[2, 2],
                                      low=[0, 0], high=[0.12, 0.24],
                                      mu=[0.12, 0.24], sigma=0.01 * np.eye(2))

# Create fixed income component
fixed_income = FixedIncomeExpectedValue(mvnd, np.eye(2), np.zeros(2),
                                        cash_flow=[1.0, 2.0], c_approx=0.125)

# Set number of evaluation qubits (samples)
num_eval_qubits = 5

# Construct and run amplitude estimation
algo = AmplitudeEstimation(num_eval_qubits, fixed_income)
result = algo.run(BasicAer.get_backend('statevector_simulator'))

print('Estimated value:\t%.4f' % result['estimation'])
print('Probability:    \t%.4f' % result['max_probability'])
| improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.