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The development of artificial intelligence (AI) for science has led to the emergence of learning-based research paradigms, necessitating a compelling reevaluation of the design of multi-objective optimization (MOO) methods. The new…

机器学习 · 计算机科学 2023-11-02 Linxi Yang , Xinmin Yang , Liping Tang

Quantum annealers provide an effective framework for solving large-scale combinatorial optimization problems. This work presents a novel methodology for training Variational Quantum Algorithms (VQAs) by reformulating the parameter…

量子物理 · 物理学 2025-09-03 Ernesto Acosta , Guillermo Botella , Carlos Cano

Geometry-aware optimizers such as Newton and natural gradient can improve conditioning in deep learning, but scalable variants such as K-FAC, Shampoo, and related preconditioners usually impose structural approximations early, often…

机器学习 · 计算机科学 2026-05-07 Simon Dufort-Labbé , Pierre-Luc Bacon , Razvan Pascanu , Simon Lacoste-Julien , Aristide Baratin

Quantum Approximate Optimization Algorithms (QAOA) promise efficient solutions to classically intractable combinatorial optimization problems by harnessing shallow-depth quantum circuits. Yet, their performance and scalability often hinge…

量子物理 · 物理学 2025-05-02 Kuan-Cheng Chen , Hiromichi Matsuyama , Wei-Hao Huang

Noisy intermediate-scale quantum computers (NISQ computers) are now readily available, motivating many researchers to experiment with Variational Quantum Algorithms (VQAs). Among them, the Quantum Approximate Optimization Algorithm (QAOA)…

最优化与控制 · 数学 2024-08-13 Camille Grange , Michael Poss , Eric Bourreau

Discrete image tokenization is a key bottleneck for scalable visual generation: a tokenizer must remain compact for efficient latent-space priors while preserving semantic structure and using discrete capacity effectively. Existing…

计算机视觉与模式识别 · 计算机科学 2026-02-23 Idil Bilge Altun , Mert Onur Cakiroglu , Elham Buxton , Mehmet Dalkilic , Hasan Kurban

Combinatorial optimization on near-term quantum devices is a promising path to demonstrating quantum advantage. However, the capabilities of these devices are constrained by high noise or error rates. In this paper, we propose an iterative…

量子物理 · 物理学 2022-05-12 Xiaoyuan Liu , Anthony Angone , Ruslan Shaydulin , Ilya Safro , Yuri Alexeev , Lukasz Cincio

Tuning step sizes is crucial for the stability and efficiency of optimization algorithms. While adaptive coordinate-wise step sizes have been shown to outperform scalar step size in first-order methods, their use in second-order methods is…

机器学习 · 计算机科学 2025-05-20 Wei Lin , Qingyu Song , Hong Xu

Quantization is essential for reducing the computational cost and memory usage of deep neural networks, enabling efficient inference on low-precision hardware. Despite the growing adoption of uniform and floating-point quantization schemes,…

机器学习 · 统计学 2026-05-19 Mehmet Aktukmak , Daniel Huang , Ke Ding

Parameterized quantum circuits (PQCs) play an essential role in the application of variational quantum algorithms (VQAs) in noisy intermediate-scale quantum (NISQ) devices. The PQCs are a leading candidate to achieve a quantum advantage in…

量子物理 · 物理学 2025-10-10 Joona V. Pankkonen , Matti Raasakka , Andrea Marchesin , Ilkka Tittonen

In the Noisy Intermediate-Scale Quantum (NISQ) era, using variational quantum algorithms (VQAs) to solve optimization problems has become a key application. However, these algorithms face significant challenges, such as choosing an…

量子物理 · 物理学 2025-06-13 Junyong Lee , JeiHee Cho , Shiho Kim

This work investigates the performance of numerical optimization algorithms applied to the State-Averaged Orbital-Optimized Variational Quantum Eigensolver for the H2 molecule under various quantum noise conditions. The goal is to assess…

量子物理 · 物理学 2026-03-23 Silvie Illésová , Tomáš Bezděk , Vojtěch Novák , Bruno Senjean , Martin Beseda

Variational quantum algorithms (VQAs) offer the most promising path to obtaining quantum advantages via noisy intermediate-scale quantum (NISQ) processors. Such systems leverage classical optimization to tune the parameters of a…

量子物理 · 物理学 2022-09-26 Sharu Theresa Jose , Osvaldo Simeone

Solving optimization tasks using variational quantum algorithms has emerged as a crucial application of the current noisy intermediate-scale quantum devices. However, these algorithms face several difficulties like finding suitable ansatz…

量子物理 · 物理学 2022-06-22 Pranav Chandarana , Pablo S. Vieites , Narendra N. Hegade , Enrique Solano , Yue Ban , Xi Chen

The LogQ algorithm encodes Quadratic Unconstrained Binary Optimization (QUBO) problems with exponentially fewer qubits than the Quantum Approximate Optimization Algorithm (QAOA). The advantages of conventional LogQ are accompanied by a…

量子物理 · 物理学 2025-07-14 Yagnik Chatterjee , Jérémie Messud

The adversarial subproblem in two-stage adaptive robust optimization (ARO), which identifies the worst-case uncertainty realization, is a major computational bottleneck. This difficulty is exacerbated when the recourse value function is…

系统与控制 · 电气工程与系统科学 2026-03-25 Zhiyi Zhou , Ján Drgoňa , Yury Dvorkin

The advent of noisy intermediate-scale quantum (NISQ) devices offers crucial opportunities for the development of quantum algorithms. Here we evaluate the noise tolerance of two quantum neural network (QNN) architectures on IBM's NISQ…

量子物理 · 物理学 2021-04-14 Kerstin Beer , Daniel List , Gabriel Müller , Tobias J. Osborne , Christian Struckmann

Applications abound in which optimization problems must be repeatedly solved, each time with new (but similar) data. Analytic optimization algorithms can be hand-designed to provably solve these problems in an iterative fashion. On one…

最优化与控制 · 数学 2022-09-28 Howard Heaton , Xiaohan Chen , Zhangyang Wang , Wotao Yin

Quantum Approximate Optimization Algorithm (QAOA) and its variants exhibit immense potential in tackling combinatorial optimization challenges. However, their practical realization confronts a dilemma: the requisite circuit depth for…

量子物理 · 物理学 2024-09-30 Yang Qian , Xinbiao Wang , Yuxuan Du , Yong Luo , Dacheng Tao

Variational quantum algorithms hold great promise for unlocking the power of near-term quantum processors, yet high measurement costs, barren plateaus, and challenging optimization landscapes frequently hinder them. Here, we introduce…

量子物理 · 物理学 2026-03-10 Mengzhen Ren , Yu-Cheng Chen , Yangsen Ye , Min-Hsiu Hsieh , Alice Hu , Chang-Yu Hsieh