Optimization of chemical mixers design via tensor trains and quantum
computing
- URL: http://arxiv.org/abs/2304.12307v1
- Date: Mon, 24 Apr 2023 17:56:56 GMT
- Title: Optimization of chemical mixers design via tensor trains and quantum
computing
- Authors: Nikita Belokonev, Artem Melnikov, Maninadh Podapaka, Karan Pinto,
Markus Pflitsch, and Michael Perelshtein
- Abstract summary: We demonstrate a novel optimization method, train optimization (TetraOpt), for the shape optimization of components focusing on a Y-shaped mixer of fluids.
Due to its high parallelization and more extensive global search, TetraOpt outperforms commonly used Bayesian optimization techniques in accuracy and runtime.
We discuss the extension of this approach to quantum computing, which potentially yields a more efficient approach.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Chemical component design is a computationally challenging procedure that
often entails iterative numerical modeling and authentic experimental testing.
We demonstrate a novel optimization method, Tensor train Optimization
(TetraOpt), for the shape optimization of components focusing on a Y-shaped
mixer of fluids. Due to its high parallelization and more extensive global
search, TetraOpt outperforms commonly used Bayesian optimization techniques in
accuracy and runtime. Besides, our approach can be used to solve general
physical design problems and has linear complexity in the number of optimized
parameters, which is highly relevant for complex chemical components.
Furthermore, we discuss the extension of this approach to quantum computing,
which potentially yields a more efficient approach.
Related papers
- Performance Analysis of an Optimization Algorithm for Metamaterial Design on the Integrated High-Performance Computing and Quantum Systems [0.25782420501870296]
We comprehensively analyze the performance of an optimization algorithm for metamaterial design on the integrated HPC and quantum systems.
We demonstrate significant time advantages through message-passing interface (MPI) parallelization.
Results showcase 24 times speedup when executing the optimization algorithm on the HPC-quantum hybrid system.
arXiv Detail & Related papers (2024-05-03T16:12:02Z) - Analyzing and Enhancing the Backward-Pass Convergence of Unrolled
Optimization [50.38518771642365]
The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks.
A central challenge in this setting is backpropagation through the solution of an optimization problem, which often lacks a closed form.
This paper provides theoretical insights into the backward pass of unrolled optimization, showing that it is equivalent to the solution of a linear system by a particular iterative method.
A system called Folded Optimization is proposed to construct more efficient backpropagation rules from unrolled solver implementations.
arXiv Detail & Related papers (2023-12-28T23:15:18Z) - Finding Optimal Pathways in Chemical Reaction Networks Using Ising
Machines [0.40792653193642503]
Finding optimal pathways in chemical reaction networks is essential for elucidating and designing chemical processes.
Due to explosion, the time required to find an optimal pathway increases exponentially with the network size.
We present the first Ising/quantum computing application for chemical pathway-finding problems.
arXiv Detail & Related papers (2023-08-08T19:22:54Z) - Quantum approximate optimization via learning-based adaptive
optimization [5.399532145408153]
Quantum approximate optimization algorithm (QAOA) is designed to solve objective optimization problems.
Our results demonstrate that the algorithm greatly outperforms conventional approximations in terms of speed, accuracy, efficiency and stability.
This work helps to unlock the full power of QAOA and paves the way toward achieving quantum advantage in practical classical tasks.
arXiv Detail & Related papers (2023-03-27T02:14:56Z) - Backpropagation of Unrolled Solvers with Folded Optimization [55.04219793298687]
The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks.
One typical strategy is algorithm unrolling, which relies on automatic differentiation through the operations of an iterative solver.
This paper provides theoretical insights into the backward pass of unrolled optimization, leading to a system for generating efficiently solvable analytical models of backpropagation.
arXiv Detail & Related papers (2023-01-28T01:50:42Z) - An Empirical Evaluation of Zeroth-Order Optimization Methods on
AI-driven Molecule Optimization [78.36413169647408]
We study the effectiveness of various ZO optimization methods for optimizing molecular objectives.
We show the advantages of ZO sign-based gradient descent (ZO-signGD)
We demonstrate the potential effectiveness of ZO optimization methods on widely used benchmark tasks from the Guacamol suite.
arXiv Detail & Related papers (2022-10-27T01:58:10Z) - Quantum topology optimization of ground structures using noisy
intermediate-scale quantum devices [8.325359814939517]
We study the usage of quantum computers as a potential solution to topology optimization problems.
Several experiments, including a real device experiment, show that the proposed method successfully obtained the optimal configurations.
arXiv Detail & Related papers (2022-07-19T10:39:28Z) - Feedback-based quantum optimization [0.0]
We introduce a feedback-based strategy for quantum optimization, where the results of qubit measurements are used to constructively assign values to quantum circuit parameters.
We show that this procedure results in an estimate of the optimization problem solution that improves monotonically with the depth of the quantum circuit.
arXiv Detail & Related papers (2021-03-15T18:01:03Z) - 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) - Optimal Bayesian experimental design for subsurface flow problems [77.34726150561087]
We propose a novel approach for development of chaos expansion (PCE) surrogate model for the design utility function.
This novel technique enables the derivation of a reasonable quality response surface for the targeted objective function with a computational budget comparable to several single-point evaluations.
arXiv Detail & Related papers (2020-08-10T09:42:59Z) - 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.