Distributed Quantum Approximate Optimization Algorithm on a Quantum-Centric Supercomputing Architecture

Fuente: arXiv
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Autori principali: Kim, Seongmin, Pascuzzi, Vincent R., Xu, Zhihao, Luo, Tengfei, Lee, Eungkyu, Suh, In-Saeng
Natura: Preprint
Pubblicazione: 2024
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author Kim, Seongmin
Pascuzzi, Vincent R.
Xu, Zhihao
Luo, Tengfei
Lee, Eungkyu
Suh, In-Saeng
author_facet Kim, Seongmin
Pascuzzi, Vincent R.
Xu, Zhihao
Luo, Tengfei
Lee, Eungkyu
Suh, In-Saeng
contents Quantum approximate optimization algorithm (QAOA) has shown promise in solving combinatorial optimization problems by providing quantum speedup on near-term gate-based quantum computing systems. However, QAOA faces challenges for high-dimensional problems due to the large number of qubits required and the complexity of deep circuits, limiting its scalability for real-world applications. In this study, we present a distributed QAOA (DQAOA), which leverages distributed computing strategies to decompose a large computational workload into smaller tasks that require fewer qubits and shallower circuits than necessitated to solve the original problem. These sub-problems are processed using a combination of high-performance and quantum computing resources. The global solution is iteratively updated by aggregating sub-solutions, allowing convergence toward the optimal solution. We demonstrate that DQAOA can handle considerably large-scale optimization problems (e.g., 1,000-bit problem) achieving a high approximation ratio ($\sim$99%) and short time-to-solution ($\sim$276 s), outperforming existing strategies. Furthermore, we realize DQAOA on a quantum-centric supercomputing architecture, paving the way for practical applications of gate-based quantum computers in real-world optimization tasks. To extend DQAOA's applicability to materials science, we further develop an active learning algorithm integrated with our DQAOA (AL-DQAOA), which involves machine learning, DQAOA, and active data production in an iterative loop. We successfully optimize photonic structures using AL-DQAOA, indicating that solving real-world optimization problems using gate-based quantum computing is feasible. We expect the proposed DQAOA to be applicable to a wide range of optimization problems and AL-DQAOA to find broader applications in material design.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20212
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Distributed Quantum Approximate Optimization Algorithm on a Quantum-Centric Supercomputing Architecture
Kim, Seongmin
Pascuzzi, Vincent R.
Xu, Zhihao
Luo, Tengfei
Lee, Eungkyu
Suh, In-Saeng
Distributed, Parallel, and Cluster Computing
Computational Engineering, Finance, and Science
Quantum Physics
Quantum approximate optimization algorithm (QAOA) has shown promise in solving combinatorial optimization problems by providing quantum speedup on near-term gate-based quantum computing systems. However, QAOA faces challenges for high-dimensional problems due to the large number of qubits required and the complexity of deep circuits, limiting its scalability for real-world applications. In this study, we present a distributed QAOA (DQAOA), which leverages distributed computing strategies to decompose a large computational workload into smaller tasks that require fewer qubits and shallower circuits than necessitated to solve the original problem. These sub-problems are processed using a combination of high-performance and quantum computing resources. The global solution is iteratively updated by aggregating sub-solutions, allowing convergence toward the optimal solution. We demonstrate that DQAOA can handle considerably large-scale optimization problems (e.g., 1,000-bit problem) achieving a high approximation ratio ($\sim$99%) and short time-to-solution ($\sim$276 s), outperforming existing strategies. Furthermore, we realize DQAOA on a quantum-centric supercomputing architecture, paving the way for practical applications of gate-based quantum computers in real-world optimization tasks. To extend DQAOA's applicability to materials science, we further develop an active learning algorithm integrated with our DQAOA (AL-DQAOA), which involves machine learning, DQAOA, and active data production in an iterative loop. We successfully optimize photonic structures using AL-DQAOA, indicating that solving real-world optimization problems using gate-based quantum computing is feasible. We expect the proposed DQAOA to be applicable to a wide range of optimization problems and AL-DQAOA to find broader applications in material design.
title Distributed Quantum Approximate Optimization Algorithm on a Quantum-Centric Supercomputing Architecture
topic Distributed, Parallel, and Cluster Computing
Computational Engineering, Finance, and Science
Quantum Physics
url https://arxiv.org/abs/2407.20212