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In this paper we describe a single-node, double precision Field Programmable Gate Array (FPGA) implementation of the Conjugate Gradient algorithm in the context of Lattice Quantum Chromodynamics. As a benchmark of our proposal we invert…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-05 Grzegorz Korcyl , Piotr Korcyl

This paper focuses on the Field Programmable Gate Array (FPGA) design and implementation of intelligent control system applications on a chip, specifically fuzzy logic and genetic algorithm processing units. Initially, an overview of the…

Other Computer Science · Computer Science 2018-11-22 K. M. Deliparaschos , S. G. Tzafestas

Simulating Clifford and near-Clifford circuits using the extended stabilizer formalism has become increasingly popular, particularly in quantum error correction. Compared to the state-vector approach, the extended stabilizer formalism can…

Quantum Physics · Physics 2026-05-18 Vu Tuan Hai , Bui Cao Doanh , Le Vu Trung Duong , Pham Hoai Luan , Yasuhiko Nakashima

Quantum optimal control for gate optimization aims to provide accurate, robust, and fast pulse sequences to achieve gate fidelities on quantum systems below the error correction threshold. Many methods have been developed and successfully…

Quantum Physics · Physics 2025-06-05 Dirk Heimann , Felix Wiebe , Tahereh Abad , Elie Mounzer , Tangyou Huang , Frank Kirchner , Shivesh Kumar

This paper is concerned with the computing efficiency of model predictive control (MPC) problems for dynamical systems with both rate and amplitude constraints on the inputs. Instead of augmenting the decision variables of the underlying…

Optimization and Control · Mathematics 2020-03-13 Idris Kempf , Paul Goulart , Stephen Duncan

Real-time decoding is crucial for fault-tolerant quantum computing but likely requires specialized hardware such as field-programmable gate arrays (FPGAs), whose parallelism can alter relative algorithmic performance. We analyze…

Quantum Physics · Physics 2026-01-27 Satvik Maurya , Thilo Maurer , Markus Bühler , Drew Vandeth , Michael E. Beverland

We present a hardware-accelerated SAT solver suitable for processor/Field Programmable Gate Arrays (FPGA) hybrid platforms, which have become the norm in the embedded domain. Our solution addresses a known bottleneck in SAT solving…

Hardware Architecture · Computer Science 2023-12-19 Hariprasadh Godindasamy , Babak Esfandiari , Paulo Garcia

This paper offers a unified perspective on different approaches to the solution of optimal control problems through the lens of constrained sequential quadratic programming. In particular, it allows us to find the relationships between…

Optimization and Control · Mathematics 2025-10-07 Abhijeet , Suman Chakravorty

Autonomous mobile robots (AMRs), used for search-and-rescue and remote exploration, require fast and robust planning and control schemes. Sampling-based approaches for Model Predictive Control, especially approaches based on the Model…

Robotics · Computer Science 2026-01-27 Tanmay Desai , Brian Plancher , R. Iris Bahar

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

Problem Statement: Field Programmable Gate Array (FPGA) circuits play a significant role in major recent embedded process control designs. However, exploiting these platforms requires deep hardware conception skills and remains an important…

Systems and Control · Computer Science 2013-12-20 Ahmed Ben Achballah , Slim Ben Othman , Slim Ben Saoud

In the field of High Performance Computing, communications among processes represent a typical bottleneck for massively parallel scientific applications. Object of this research is the development of a network interface card with specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-07 Roberto Ammendola

In the FPGA (Field Programmable Gate Arrays) design flow, one of the most time-consuming step is the routing of nets. Therefore, there is a need to accelerate it. In a recent paper by Hoo et. al., the authors have developed a Linear…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-21 Rohit Agrawal , Chin Hao Hoo , Kapil Ahuja , Akash Kumar

A new implementation of many-body calculations is of paramount importance in the field of computational physics. In this study, we leverage the capabilities of Field Programmable Gate Arrays (FPGAs) for conducting quantum many-body…

Strongly Correlated Electrons · Physics 2025-04-17 Songtai Lv , Yang Liang , Yuchen Meng , Xiaochen Yao , Jincheng Xu , Yang Liu , Qibin Zheng , Haiyuan Zou

We propose a data-driven framework for efficiently solving quadratic programming (QP) problems by reducing the number of variables in high-dimensional QPs using instance-specific projection. A graph neural network-based model is designed to…

Machine Learning · Statistics 2025-10-31 Tomoharu Iwata , Futoshi Futami

Results of porting parts of the Lattice Quantum Chromodynamics code to modern FPGA devices are presented. A single-node, double precision implementation of the Conjugate Gradient algorithm is used to invert numerically the Dirac-Wilson…

High Energy Physics - Lattice · Physics 2018-11-12 Piotr Korcyl , Grzegorz Korcyl

Quantum optimal control plays a crucial role in quantum computing by providing the interface between compiler and hardware. Solving the optimal control problem is particularly challenging for multi-qubit gates, due to the exponential growth…

Quantum Physics · Physics 2024-07-25 N. Anders Petersson , Stefanie Günther , Seung Whan Chung

We propose Newton-PIPG, an efficient method for solving quadratic programming (QP) problems arising in optimal control, subject to additional set constraints. Newton-PIPG integrates the Proportional-Integral Projected Gradient (PIPG) method…

Optimization and Control · Mathematics 2025-03-31 Dayou Luo , Yue Yu , Maryam Fazel , Behçet Açıkmeşe

Quadratic programming (QP) is a fundamental optimization model with wide-ranging applications in decision-making and machine learning, yet efficiently solving large-scale instances remains a major computational challenge. Building upon the…

Optimization and Control · Mathematics 2026-03-02 Hongpei Li , Yicheng Huang , Huikang Liu , Dongdong Ge , Yinyu Ye

This paper investigates the performance of Newton's method, iterative Linear Quadratic Regulator (iLQR), and Differential Dynamic Programming (DDP) in solving discrete-time optimal control problems. We offer a unified perspective on these…

Optimization and Control · Mathematics 2026-05-26 Abhijeet , Suman Chakravorty