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Quantum computational approaches to some classic target identification and localization algorithms, especially for radar images, are investigated, and are found to raise a number of quantum statistics and quantum measurement issues with…

量子物理 · 物理学 2021-05-05 Peter B. Weichman

In order to compute near-optimal policies with policy-gradient algorithms, it is common in practice to include intrinsic exploration terms in the learning objective. Although the effectiveness of these terms is usually justified by an…

机器学习 · 计算机科学 2025-08-21 Adrien Bolland , Gaspard Lambrechts , Damien Ernst

The technique of combining multiple votes to enhance the quality of a decision is the core of boosting algorithms in machine learning. In particular, boosting provably increases decision quality by combining multiple weak…

量子物理 · 物理学 2025-10-07 Amira Abbas , Yanlin Chen , Tuyen Nguyen , Ronald de Wolf

We perform an in-depth comparison of quantum annealing with several classical optimisation techniques, namely thermal annealing, Nelder-Mead, and gradient descent. We begin with a direct study of the 2D Ising model on a quantum annealer,…

量子物理 · 物理学 2022-10-19 Steve Abel , Andrew Blance , Michael Spannowsky

The driving force in the pursuit for quantum computation is the exciting possibility that quantum algorithms can be more efficient than their classical analogues. Research on the subject has unraveled several aspects of how that can happen.…

量子物理 · 物理学 2011-02-11 Apoorva Patel

Optimization problems become fundamentally challenging as the number of variables increases. Because the volume of the search space grows exponentially, classical algorithms frequently fail to locate the global minimum of non-convex…

量子物理 · 物理学 2026-04-23 Dominik Soós , Marc Paterno , John Stenger , Nikos Chrisochoides

I propose a "quantum annealing" heuristic for the problem of combinatorial search among a frustrated set of states characterized by a cost function to be minimized. The algorithm is probabilistic, with postselection of the measurement…

量子物理 · 物理学 2009-11-07 Carlo A. Trugenberger

We present a class of 2D systems which shows a counterintuitive property that contradicts a semi classical intuition: A 2D quantum particle "prefers" tunneling through a barrier rather than traveling above it. Viewing the one particle 2D…

量子物理 · 物理学 2011-02-14 Denys I. Bondar , Wing-Ki Liu , Misha Yu. Ivanov

This paper first proposes the Halfway Escape Optimization (HEO) algorithm, a quantum-inspired metaheuristic designed to address general optimization problems. The HEO mimics the effects between quantum such as tunneling, entanglement. After…

神经与进化计算 · 计算机科学 2024-09-25 Jiawen Li , Anwar PP Abdul Majeed , Pascal Lefevre

We focus on establishing the foundational paradigm of a novel optimization theory based on convolution with convex kernels. Our goal is to devise a morally deterministic model of locating the global optima of an arbitrary function, which is…

最优化与控制 · 数学 2025-03-31 Zhipeng Lu

Quantum annealing is an innovative idea and method for avoiding the increase of the calculation cost of the combinatorial optimization problem. Since the combinatorial optimization problems are ubiquitous, quantum annealing machine with…

统计力学 · 物理学 2020-01-13 Shohei Watabe , Yuya Seki , Shiro Kawabata

We give new results for problems in computational and statistical machine learning using tools from high-dimensional geometry and probability. We break up our treatment into two parts. In Part I, we focus on computational considerations in…

最优化与控制 · 数学 2025-04-24 Naren Sarayu Manoj

Optimal control theory is a versatile tool that presents a route to significantly improving figures of merit for quantum information tasks. We combine it here with the geometric theory for local equivalence classes of two-qubit operations…

量子物理 · 物理学 2015-03-19 M. M. Müller , D. M. Reich , M. Murphy , H. Yuan , J. Vala , K. B. Whaley , T. Calarco , C. P. Koch

Physically motivated classical heuristic optimization algorithms such as simulated annealing (SA) treat the objective function as an energy landscape, and allow walkers to escape local minima. It has been argued that quantum properties such…

量子物理 · 物理学 2019-08-05 Aniruddha Bapat , Stephen Jordan

Recent decades, the emergence of numerous novel algorithms makes it a gimmick to propose an intelligent optimization system based on metaphor, and hinders researchers from exploring the essence of search behavior in algorithms. However, it…

神经与进化计算 · 计算机科学 2022-04-18 Peng Wang , Gang Xin , Fang Wang

Anticipating the low energy arrangements of atoms in space is an indispensable scientific task. Modern stochastic approaches to searching for these configurations depend on the optimisation of structures to nearby local minima in the energy…

材料科学 · 物理学 2019-02-07 Chris J. Pickard

This work presents a quantum mechanical framework for analyzing quantization-based optimization algorithms. The sampling process of the quantization-based search is modeled as a gradient-flow dissipative system, leading to a…

量子物理 · 物理学 2026-03-13 Jinwuk Seok , Changsik Cho

This article summarizes the Quantum Bayesian point of view of quantum mechanics, with special emphasis on the view's outer edges---dubbed QBism. QBism has its roots in personalist Bayesian probability theory, is crucially dependent upon the…

量子物理 · 物理学 2010-03-29 Christopher A. Fuchs

This paper preliminarily investigates the duality between flow matching in generative models and particle swarm optimization (PSO) in evolutionary computation. Through theoretical analysis, we reveal the intrinsic connections between these…

神经与进化计算 · 计算机科学 2025-07-29 Kaichen Ouyang

In this paper we present a novel two-scale framework to optimize the structure and the material distribution of an object given its functional specifications. Our approach utilizes multi-material microstructures as low-level building blocks…

计算工程、金融与科学 · 计算机科学 2017-06-13 Bo Zhu , Mélina Skouras , Desai Chen , Wojciech Matusik