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We present efficient implementations of atom reconfiguration algorithms for both CPUs and GPUs, along with a batching routine to merge displacement operations for parallel execution. Leveraging graph-theoretic methods, our approach derives…

Programmable arrays of optical traps enable the assembly of configurations of single atoms to perform controlled experiments on quantum many-body systems. Finding the sequence of control operations to transform an arbitrary configuration of…

Our work is motivated by the challenges presented in preparing arrays of atoms for use in quantum simulation. The recently-developed process of loading atoms into traps results in approximately half of the traps being filled. To consolidate…

Computational Complexity · Computer Science 2025-04-09 Alexandre Cooper , Stephanie Maaz , Amer E. Mouawad , Naomi Nishimura

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

We present an algorithm that efficiently computes nearly-optimal solutions to a class of combinatorial reconfiguration problems on weighted, undirected graphs. Inspired by societally relevant applications in networked infrastructure…

Optimization and Control · Mathematics 2025-10-29 Samuel Talkington , Dmitrii M. Ostrovskii , Daniel K. Molzahn

Scaling the size of assembled neutral-atom arrays trapped in optical lattices or optical tweezers is an enabling step for a number of applications ranging from quantum simulations to quantum metrology. However, preparation times increase…

This paper proposes a scalable planning algorithm for creating defect-free atom arrays in neutral-atom systems. The algorithm generates a $\mathcal{O}(\sqrt N)$ time plan for $N$ atoms by parallelizing atom transport using a two-dimensional…

Quantum Physics · Physics 2026-04-08 Koki Aoyama , Takafumi Tomita , Fumihiko Ino

This paper proposes a distributed on-orbit spacecraft assembly algorithm, where future spacecraft can assemble modules with different functions on orbit to form a spacecraft structure with specific functions. This form of spacecraft…

Robotics · Computer Science 2024-11-27 Tianle Liu , Zhixiang Wang , Yongwei Zhang , Ziwei Wang , Zihao Liu , Yizhai Zhang , Panfeng Huang

Neutral atom quantum computing's great scaling potential has resulted in it emerging as a popular modality in recent years. For state preparation, atoms are loaded stochastically and have to be detected and rearranged at runtime to create a…

Emerging Technologies · Computer Science 2025-09-16 Jonas Winklmann , Martin Schulz

Defect-free atom arrays have emerged as a powerful and versatile platform for quantum sciences and technologies, offering high programmability and promising scalability. The arrays can be prepared by rearranging atoms from a partially…

Quantum Physics · Physics 2024-08-08 Shangguo Zhu , Yun Long , Mingbo Pu , Xiangang Luo

In many signal processing applications, the aim is to reconstruct a signal that has a simple representation with respect to a certain basis or frame. Fundamental elements of the basis known as "atoms" allow us to define "atomic norms" that…

Data Structures and Algorithms · Computer Science 2015-10-28 Nikhil Rao , Parikshit Shah , Stephen Wright

This work studies rearrangement problems involving the sorting of robots or objects in stack-like containers, which can be accessed only from one side. Two scenarios are considered: one where every robot or object needs to reach a…

Robotics · Computer Science 2017-07-03 Shuai D. Han , Nicholas M. Stiffler , Kostas E. Bekris , Jingjin Yu

The need for fast and robust optimization algorithms are of critical importance in all areas of machine learning. This paper treats the task of designing optimization algorithms as an optimal control problem. Using regret as a metric for an…

Machine Learning · Computer Science 2021-01-21 Philippe Casgrain , Anastasis Kratsios

Neutral atom arrays have emerged as a promising platform for both analog and digital quantum processing. Recently, devices capable of reconfiguring arrays during quantum processes have enabled new applications for these systems. Atom…

Defect-free atomic arrays have been demonstrated as a scalable and fully-controllable platform for quantum simulations and quantum computations. To push the qubit size limit of this platform further, we design an integrated measurement and…

Atomic Physics · Physics 2023-05-16 Shuai Wang , Wenjun Zhang , Tao Zhang , Shuyao Mei , Yuqing Wang , Jiazhong Hu , Wenlan Chen

Assembly of large scale structural systems in space is understood as critical to serving applications that cannot be deployed from a single launch. Recent literature proposes the use of discrete modular structures for in-space assembly and…

Multiagent Systems · Computer Science 2020-08-28 Allan Costa , Benjamin Jenett , Irina Kostitsyna , Amira Abdel-Rahman , Neil Gershenfeld , Kenneth Cheung

Given a set of messages to be transmitted in packages from a set of sending stations to a set of receiving stations, we are required to schedule the packages so as to achieve the minimum possible time from the moment the 1st transmission…

Networking and Internet Architecture · Computer Science 2014-04-14 Timotheos Aslanidis , Marios-Evangelos Kogias

Given a static vertex-selection problem (e.g. independent set, dominating set) on a graph, we can define a corresponding temporally satisfying reconfiguration problem on a temporal graph which asks for a sequence of solutions to the…

Data Structures and Algorithms · Computer Science 2025-09-22 Tom Davot , Jessica Enright , Laura Larios-Jones

In arXiv:2305.03945 [math.NA], a first-order optimization algorithm has been introduced to solve time-implicit schemes of reaction-diffusion equations. In this research, we conduct theoretical studies on this first-order algorithm equipped…

Numerical Analysis · Mathematics 2025-04-01 Shu Liu , Xinzhe Zuo , Stanley Osher , Wuchen Li

A fast implementation of the OPED algorithm, a reconstruction algorithm for Radon data introduced recently, is proposed and tested. The new implementation uses FFT for discrete sine transform and an interpolation step. The convergence of…

Numerical Analysis · Mathematics 2007-05-23 Yuan Xu , Oleg Tischenko
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