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The sliding cubes model is a well-established theoretical framework that supports the analysis of reconfiguration algorithms for modular robots consisting of face-connected cubes. The best algorithm currently known for the reconfiguration…

Computational Geometry · Computer Science 2023-12-27 Irina Kostitsyna , Tim Ophelders , Irene Parada , Tom Peters , Willem Sonke , Bettina Speckmann

This paper considers distributed computing on an anonymous quantum network, a network in which no party has a unique identifier and quantum communication and computation are available. It is proved that the leader election problem can…

Quantum Physics · Physics 2020-06-24 Hirotada Kobayashi , Keiji Matsumoto , Seiichiro Tani

Representability determines when a two-particle reduced density matrix (2-RDM) corresponds to a physical quantum state, enabling many-particle quantum calculations with 2-RDMs rather than the wave function. In this Letter, we present a…

Quantum Physics · Physics 2026-04-28 David A. Mazziotti

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

This paper considers the shape formation problem within the 3D hybrid model, where a single agent with a strictly limited viewing range and the computational capacity of a deterministic finite automaton manipulates passive tiles through…

Data Structures and Algorithms · Computer Science 2024-05-15 Kristian Hinnenthal , David Liedtke , Christian Scheideler

Representing the 3D environment with instance-aware semantic and geometric information is crucial for interaction-aware robots in dynamic environments. Nevertheless, creating such a representation poses challenges due to sensor noise,…

Robotics · Computer Science 2025-01-06 Gang Chen , Zhaoying Wang , Wei Dong , Javier Alonso-Mora

A convex partition of a point set P in the plane is a planar partition of the convex hull of P with empty convex polygons or internal faces whose extreme points belong to P. In a convex partition, the union of the internal faces give the…

Computational Geometry · Computer Science 2020-12-16 Hadrien Cambazard , Nicolas Catusse

Localization, or position fixing, is an important problem in robotics research. In this paper, we propose a novel approach for long-term localization in a changing environment using 3D LiDAR. We first create the map of a real environment…

Robotics · Computer Science 2019-10-29 Yilong Zhu , Bohuan Xue , Linwei Zheng , Huaiyang Huang , Ming Liu , Rui Fan

Clustering objects from the LiDAR point cloud is an important research problem with many applications such as autonomous driving. To meet the real-time requirement, existing research proposed to apply the connected-component-labeling (CCL)…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Yiming Zhao , Xiao Zhang , Xinming Huang

In this paper we show that sufficient multi-partite quantum entanglement helps in fair and unbiased election of a leader in a distributed network of processors with only linear classical communication complexity. We show that a total of…

Quantum Physics · Physics 2007-05-23 Sudebkumar Prasant Pal , Sudhir Kumar Singh , Somesh Kumar

This article is the updated version of the paper: "Combined 3D thinning and greedy algorithm to approximate realistic particles with corrected mechanical properties, Granular Matter (2019)" by the first author [58]. The main changes here…

Applied Physics · Physics 2024-01-09 Fei-Liang Yuan

Gate model quantum computers with too many qubits to be simulated by available classical computers are about to arrive. We present a strategy for programming these devices without error correction or compilation. This means that the number…

Quantum Physics · Physics 2017-03-21 E. Farhi , J. Goldstone , S. Gutmann , H. Neven

We present an amelioration of current known algorithms for optimal spectral partitioning problems. The idea is to use the advantage of a representation using density functions while decreasing the computational time. This is done by…

Optimization and Control · Mathematics 2017-05-25 Beniamin Bogosel

We present a particle locating method for unstructured meshes in two and three dimensions. Our algorithm is based on a patch searching process, and includes two steps. We first locate the given point to a patch near a vertex, and then the…

Numerical Analysis · Mathematics 2025-03-20 Shuang Chen , Fanyi Yang

By investigating the canonical commutation rules for gravitating quantized particles in a 2+1 dimensional world it is found that these particles live on a space-time lattice. The space-time lattice points can be characterized by three…

General Relativity and Quantum Cosmology · Physics 2010-04-06 G. 't Hooft

We study a model of programmable matter systems consisting of $n$ devices lying on a 2-dimensional square grid which are able to perform the minimal mechanical operation of rotating around each other. The goal is to transform an initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-23 Matthew Connor , Othon Michail , Igor Potapov

Biometric authentication has become one of the most widely used tools in the current technological era to authenticate users and to distinguish between genuine users and imposters. Face is the most common form of biometric modality that has…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Rashik Shadman , Daqing Hou , Faraz Hussain , M G Sarwar Murshed

First quantized, grid-based methods for chemistry modelling are a natural and elegant fit for quantum computers. However, it is infeasible to use today's quantum prototypes to explore the power of this approach, because it requires a…

Quantum Physics · Physics 2023-03-09 Hans Hon Sang Chan , Richard Meister , Tyson Jones , David P. Tew , Simon C. Benjamin

We propose an autofocusing algorithm to obtain, relatively accurately, the 3D position of each particle, particularly its axial location, and particle number of a dense transparent particle solution via its hologram. First, morphological…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Wei-Na Li , Yi Zhou , Jiatai Chen , Hongjie Ou , XiangSheng Xie

Quantum computers, which take advantage of the superposition and entanglement of physical states, could outperform their classical counterparts in solving problems with technological impact, such as factoring large numbers and searching…

Quantum Physics · Physics 2019-07-30 Yang Wu , Ya Wang , Xi Qin , Xing Rong , Jiangfeng Du