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Although quantum approximate optimization algorithm (QAOA) has demonstrated its quantum supremacy, its performance on Noisy Intermediate-Scale Quantum (NISQ) devices would be influenced by complicated noises, e.g., quantum colored noises.…

量子物理 · 物理学 2023-09-04 Bo Yue , Shibei Xue , Yu Pan , Min Jiang

The Quadratic Unconstrained Binary Optimization problem (QUBO) has become a unifying model for representing a wide range of combinatorial optimization problems, and for linking a variety of disciplines that face these problems. A new class…

人工智能 · 计算机科学 2017-05-30 Mark Lewis , Fred Glover

Quantum computing offers significant potential for solving NP-hard combinatorial (optimization) problems that are beyond the reach of classical computers. One way to tap into this potential is by reformulating combinatorial problems as a…

Many quantum algorithms seek to output a specific bitstring solving the problem of interest--or a few if the solution is degenerate. It is the case for the quantum approximate optimization algorithm (QAOA) in the limit of large circuit…

量子物理 · 物理学 2022-08-23 Maxime Dupont , Nicolas Didier , Mark J. Hodson , Joel E. Moore , Matthew J. Reagor

We propose a hierarchical quantum approximate optimization framework for solving large-scale Vehicle Routing Problems (VRP) using Quantum Approximate Optimization Algorithm (QAOA). The method decomposes a VRP instance into balanced clusters…

量子物理 · 物理学 2026-05-12 Shreetam Dash , Shreya Banerjee , Prasanta K. Panigrahi

A new methodology is proposed to solve classical Boolean problems as Hamiltonians, using the quantum approximate optimization algorithm (QAOA). Our methodology successfully finds all optimized approximated solutions for Boolean problems,…

量子物理 · 物理学 2024-07-11 Ali Al-Bayaty , Marek Perkowski

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…

分布式、并行与集群计算 · 计算机科学 2025-03-24 Seongmin Kim , Vincent R. Pascuzzi , Zhihao Xu , Tengfei Luo , Eungkyu Lee , In-Saeng Suh

We implement two Quantum Approximate Optimisation Algorithm (QAOA) variants for a battery revenue optimisation problem, equivalent to the weakly NP-hard Knapsack Problem. Both approaches investigate how to tackle constrained problems with…

新兴技术 · 计算机科学 2019-08-16 Pierre Dupuy de la Grand'rive , Jean-Francois Hullo

The quantum approximate optimization algorithm (QAOA) has the potential of providing a useful quantum advantage on noisy intermediate-scale quantum (NISQ) devices. The effects of uncorrelated noise on variational quantum algorithms such as…

量子物理 · 物理学 2023-05-08 Joris Kattemölle , Guido Burkard

The Traveling Salesman Problem (TSP) is a fundamental challenge in combinatorial optimization, widely applied in logistics and transportation. As the size of TSP instances grows, traditional algorithms often struggle to produce high-quality…

The Quantum Approximate Optimization Algorithm (QAOA) is a promising candidate algorithm for demonstrating quantum advantage in optimization using near-term quantum computers. However, QAOA has high requirements on gate fidelity due to the…

量子物理 · 物理学 2023-03-20 Xiaoyuan Liu , Ruslan Shaydulin , Ilya Safro

Current state-of-the-art quantum optimization algorithms require representing the original problem as a binary optimization problem, which is then converted into an equivalent cost Hamiltonian suitable for the quantum device. Implementing…

量子物理 · 物理学 2025-03-26 Bence Bakó , Adam Glos , Özlem Salehi , Zoltán Zimborás

Optimizing Reconfigurable Intelligent Surfaces (RIS) is a high-dimensional combinatorial challenge. Current quantum algorithms often simplify this problem by ignoring physical constraints like mutual coupling, which significantly degrades…

计算工程、金融与科学 · 计算机科学 2026-05-08 Marco Pasquale , Erik M. Åsgrim , Stefano Markidis , Oscar Quevedo-Teruel

The Quantum approximate optimization algorithm (QAOA) is a quantum-classical hybrid algorithm aiming to produce approximate solutions for combinatorial optimization problems. In the QAOA, the quantum part prepares a quantum parameterized…

量子物理 · 物理学 2024-04-23 Ningyi Xie , Xinwei Lee , Dongsheng Cai , Yoshiyuki Saito , Nobuyoshi Asai

Combinatorial optimization is among the main applications envisioned for near-term and fault-tolerant quantum computers. In this work, we consider a well-studied quantum algorithm for combinatorial optimization: the Quantum Approximate…

量子物理 · 物理学 2020-11-12 Sami Boulebnane

The Quantum Alternating Operator Ansatz (QAOA) is a hybrid classical-quantum algorithm that aims to sample the optimal solution(s) of discrete combinatorial optimization problems. We present optimized QAOA circuit constructions for sampling…

量子物理 · 物理学 2023-12-04 Elijah Pelofske , Andreas Bärtschi , John Golden , Stephan Eidenbenz

Quadratic Unconstrained Binary Optimization (QUBO) is a standard NP-hard optimization problem. Recently, it has gained renewed interest through quantum computing, as QUBOs directly reduce to the Ising model, on which quantum annealing…

量子物理 · 物理学 2026-03-16 Katalin Friedl , Levente Gegő , László Kabódi , Viktória Nemkin

The design of fast algorithms for combinatorial optimization greatly contributes to a plethora of domains such as logistics, finance, and chemistry. Quantum approximate optimization algorithms (QAOAs), which utilize the power of quantum…

量子物理 · 物理学 2022-05-25 Zeqiao Zhou , Yuxuan Du , Xinmei Tian , Dacheng Tao

Variational algorithm using Quantum Approximate Optimization Algorithm (QAOA) can solve the prime factorization problem in near-term noisy quantum computers. Conventional Variational Quantum Factoring (VQF) requires a large number of…

新兴技术 · 计算机科学 2020-04-28 Ling Qiu , Mahabubul Alam , Abdullah Ash-Saki , Swaroop Ghosh

The quantum approximate optimization algorithm (QAOA) conceived for solving combinatorial optimization problems has attracted significant interest since it can be run on the existing noisy intermediate-scale quantum (NISQ) devices. A…

信息论 · 计算机科学 2022-04-12 Jingjing Cui , Gui Lu Long , Lajos Hanzo