Enhanced Framework of Quantum Approximate Optimization Algorithm and Its
Parameter Setting Strategy
- URL: http://arxiv.org/abs/2012.09626v1
- Date: Wed, 16 Dec 2020 14:40:56 GMT
- Title: Enhanced Framework of Quantum Approximate Optimization Algorithm and Its
Parameter Setting Strategy
- Authors: Mingyou Wu and Zhihao Liu and Hanwu Chen
- Abstract summary: An enhanced framework of quantum approximate optimization algorithm (QAOA) is introduced and the parameter setting strategies are analyzed.
The enhanced QAOA is as effective as the QAOA but exhibits greater computing power and flexibility.
The optimal solution can be found with a high probability in much less than $O(sqrtN)$
- Score: 4.082216579462797
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: An enhanced framework of quantum approximate optimization algorithm (QAOA) is
introduced and the parameter setting strategies are analyzed. The enhanced QAOA
is as effective as the QAOA but exhibits greater computing power and
flexibility, and with proper parameters, it can arrive at the optimal solution
faster. Moreover, based on the analysis of this framework, strategies are
provided to select the parameter at a cost of $O(1)$. Simulations are conducted
on randomly generated 3-satisfiability (3-SAT) of scale of 20 qubits and the
optimal solution can be found with a high probability in iterations much less
than $O(\sqrt{N})$
Related papers
- Classical Optimization Strategies for Variational Quantum Algorithms: A Systematic Study of Noise Effects and Parameter Efficiency [0.0]
This study benchmarks optimization strategies for the Quantum Approximate Optimization Algorithm under near-term Noisy Intermediate-Scale Quantum conditions.<n>We evaluate Dual Annealing, Constrained Optimization by Linear Approximation, and the Powell Method across noiseless, sampling noise, and two thermal noise models.
arXiv Detail & Related papers (2025-11-12T13:23:54Z) - Adam assisted Fully informed Particle Swarm Optimization ( Adam-FIPSO ) based Parameter Prediction for the Quantum Approximate Optimization Algorithm (QAOA) [1.024113475677323]
The Quantum Approximate Optimization Algorithm (QAOA) is a prominent variational algorithm used for solving optimization problems such as the Max-Cut problem.<n>A key challenge in QAOA lies in efficiently identifying suitable parameters that lead to high-quality solutions.
arXiv Detail & Related papers (2025-06-07T13:14:41Z) - Iterative Interpolation Schedules for Quantum Approximate Optimization Algorithm [1.845978975395919]
We present an iterative method that exploits the smoothness of optimal parameter schedules by expressing them in a basis of functions.
We demonstrate our method achieves better performance with fewer optimization steps than current approaches.
For the largest LABS instance, we achieve near-optimal merit factors with schedules exceeding 1000 layers, an order of magnitude beyond previous methods.
arXiv Detail & Related papers (2025-04-02T12:53:21Z) - Efficient and Robust Parameter Optimization of the Unitary Coupled-Cluster Ansatz [4.607081302947026]
We propose sequential optimization with approximate parabola (SOAP) for parameter optimization of unitary coupled-cluster ansatz on quantum computers.
Numerical benchmark studies on molecular systems demonstrate that SOAP achieves significantly faster convergence and greater robustness to noise.
SOAP is further validated through experiments on a superconducting quantum computer using a 2-qubit model system.
arXiv Detail & Related papers (2024-01-10T03:30:39Z) - Iterative Layerwise Training for Quantum Approximate Optimization
Algorithm [0.39945675027960637]
The capability of the quantum approximate optimization algorithm (QAOA) in solving the optimization problems has been intensively studied in recent years.
We propose the iterative layerwise optimization strategy and explore the possibility for the reduction of optimization cost in solving problems with QAOA.
arXiv Detail & Related papers (2023-09-24T05:12:48Z) - A Depth-Progressive Initialization Strategy for Quantum Approximate
Optimization Algorithm [0.0]
We first discuss the patterns of optimal parameters in QAOA in two directions.
We then discuss on the symmetries and periodicity of the expectation that is used to determine the bounds of the search space.
We propose a strategy which predicts the new initial parameters by taking the difference between previous optimal parameters.
arXiv Detail & Related papers (2022-09-22T23:49:11Z) - Unsupervised strategies for identifying optimal parameters in Quantum
Approximate Optimization Algorithm [3.508346077709686]
We study unsupervised Machine Learning approaches for setting parameters without optimization.
We showcase them within Recursive-QAOA up to depth $3$ where the number of QAOA parameters used per iteration is limited to $3$.
We obtain similar performances to the case where we extensively optimize the angles, hence saving numerous circuit calls.
arXiv Detail & Related papers (2022-02-18T19:55:42Z) - Understanding the Effect of Stochasticity in Policy Optimization [86.7574122154668]
We show that the preferability of optimization methods depends critically on whether exact gradients are used.
Second, to explain these findings we introduce the concept of committal rate for policy optimization.
Third, we show that in the absence of external oracle information, there is an inherent trade-off between exploiting geometry to accelerate convergence versus achieving optimality almost surely.
arXiv Detail & Related papers (2021-10-29T06:35:44Z) - Parameters Fixing Strategy for Quantum Approximate Optimization
Algorithm [0.0]
We propose a strategy to give high approximation ratio on average, even at large circuit depths, by initializing QAOA with the optimal parameters obtained from the previous depths.
We test our strategy on the Max-cut problem of certain classes of graphs such as the 3-regular graphs and the Erd"os-R'enyi graphs.
arXiv Detail & Related papers (2021-08-11T15:44:16Z) - Momentum Accelerates the Convergence of Stochastic AUPRC Maximization [80.8226518642952]
We study optimization of areas under precision-recall curves (AUPRC), which is widely used for imbalanced tasks.
We develop novel momentum methods with a better iteration of $O (1/epsilon4)$ for finding an $epsilon$stationary solution.
We also design a novel family of adaptive methods with the same complexity of $O (1/epsilon4)$, which enjoy faster convergence in practice.
arXiv Detail & Related papers (2021-07-02T16:21:52Z) - Unified Convergence Analysis for Adaptive Optimization with Moving Average Estimator [75.05106948314956]
We show that an increasing large momentum parameter for the first-order moment is sufficient for adaptive scaling.
We also give insights for increasing the momentum in a stagewise manner in accordance with stagewise decreasing step size.
arXiv Detail & Related papers (2021-04-30T08:50:24Z) - Bilevel Optimization: Convergence Analysis and Enhanced Design [63.64636047748605]
Bilevel optimization is a tool for many machine learning problems.
We propose a novel stoc-efficientgradient estimator named stoc-BiO.
arXiv Detail & Related papers (2020-10-15T18:09:48Z) - Adaptive pruning-based optimization of parameterized quantum circuits [62.997667081978825]
Variisy hybrid quantum-classical algorithms are powerful tools to maximize the use of Noisy Intermediate Scale Quantum devices.
We propose a strategy for such ansatze used in variational quantum algorithms, which we call "Efficient Circuit Training" (PECT)
Instead of optimizing all of the ansatz parameters at once, PECT launches a sequence of variational algorithms.
arXiv Detail & Related papers (2020-10-01T18:14:11Z) - Cross Entropy Hyperparameter Optimization for Constrained Problem
Hamiltonians Applied to QAOA [68.11912614360878]
Hybrid quantum-classical algorithms such as Quantum Approximate Optimization Algorithm (QAOA) are considered as one of the most encouraging approaches for taking advantage of near-term quantum computers in practical applications.
Such algorithms are usually implemented in a variational form, combining a classical optimization method with a quantum machine to find good solutions to an optimization problem.
In this study we apply a Cross-Entropy method to shape this landscape, which allows the classical parameter to find better parameters more easily and hence results in an improved performance.
arXiv Detail & Related papers (2020-03-11T13:52:41Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.