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Indefinite quadratic programs (QPs) are known to be very difficult to be solved to global optimality, so are linear programs with linear complementarity constraints. Treating the former as a subclass of the latter, this paper presents a…

Optimization and Control · Mathematics 2025-03-18 Xinyao Zhang , Shaoning Han , Jong-Shi Pang

We ported the firmware of the ARTIQ experiment control infrastructure to an embedded system based on a commercial Xilinx Zynq-7000 system-on-chip. It contains high-performance hardwired CPU cores integrated with FPGA fabric. As with…

Instrumentation and Detectors · Physics 2021-12-01 Chun Kit Lam , Stephan Maka , David Nadlinger , Chris Ballance , Sébastien Bourdeauducq

Tensor decomposition has become an essential tool in many data science applications. Sparse Matricized Tensor Times Khatri-Rao Product (MTTKRP) is the pivotal kernel in tensor decomposition algorithms that decompose higher-order real-world…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-19 Sasindu Wijeratne , Ta-Yang Wang , Rajgopal Kannan , Viktor Prasanna

In this study, we propose the Quantum Gradient Flow Algorithm (QGFA), a novel quantum algorithm for solving symmetric positive definite (SPD) linear systems based on the variational formulation and time-evolution dynamics. Conventional…

Quantum Physics · Physics 2026-02-06 Yuto Lewis Terashima , Tadashi Kadowaki , Yohichi Suzuki , Katsuhiro Endo

We propose a quantum-assisted framework for solving constrained finite-horizon nonlinear optimal control problems using a barrier Sequential Quadratic Programming (SQP) approach. Within this framework, a quantum subroutine is incorporated…

Quantum Physics · Physics 2025-10-22 Nahid Binandeh Dehaghani , Rafal Wisniewski , A. Pedro Aguiar

We present an optimized algorithm calculating determinant for multivariate polynomial matrix on GPU. The novel algorithm provides precise determinant for input multivariate polynomial matrix in controllable time. Our approach is based on…

Numerical Analysis · Mathematics 2020-10-26 Jianjun Wei , Liangyu Chen

This research work focuses on the design of a high-resolution fast Fourier transform (FFT) /inverse fast Fourier transform (IFFT) processors for constraints analysis purpose. Amongst the major setbacks associated with such high resolution,…

Signal Processing · Electrical Eng. & Systems 2018-06-13 Rozita Teymourzadeh , Mometo Jim Abigo , Mok Vee Hoong

Convolutional Neural Networks (CNNs) are widely used in deep learning applications, e.g. visual systems, robotics etc. However, existing software solutions are not efficient. Therefore, many hardware accelerators have been proposed…

Machine Learning · Computer Science 2021-09-08 Sasindu Wijeratne , Sandaruwan Jayaweera , Mahesh Dananjaya , Ajith Pasqual

Routing of the nets in Field Programmable Gate Array (FPGA) design flow is one of the most time consuming steps. Although Versatile Place and Route (VPR), which is a commonly used algorithm for this purpose, routes effectively, it is slow…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-23 Rohit Agrawal , Kapil Ahuja , Dhaarna Maheshwari , Akash Kumar

This work presents AEQUAM (Area Efficient QUAntum eMulation), a toolchain that enables faster and more accessible quantum circuit verification. It consists of a compiler that translates OpenQASM 2.0 into RISC-like instructions, Cython…

Quantum Physics · Physics 2025-07-28 Lorenzo Lagostina , Deborah Volpe , Maurizio Zamboni , Giovanna Turvani

This paper addresses the problem of solving nonlinear systems in the context of symmetric quantum signal processing (QSP), a powerful technique for implementing matrix functions on quantum computers. Symmetric QSP focuses on representing…

Quantum Physics · Physics 2023-07-25 Yulong Dong , Lin Lin , Hongkang Ni , Jiasu Wang

In recent years the computational capacity of single Field Programmable Gate Arrays (FPGA) devices as well as their versatility has increased significantly. Adding to that the High Level Synthesis frameworks allowing to program such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-22 G. Korcyl , P. Korcyl

We present a design and implementation of the Thomas algorithm optimized for hardware acceleration on an FPGA, the Thomas Core. The hardware-based algorithm combined with the custom data flow and low level parallelism available in an FPGA…

Computational Finance · Quantitative Finance 2015-10-16 Samuel Palmer

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

The continued growth in the processing power of FPGAs coupled with high bandwidth memories (HBM), makes systems like the Xilinx U280 credible platforms for linear solvers which often dominate the run time of scientific and engineering…

Hardware Architecture · Computer Science 2023-01-02 Linghao Song , Licheng Guo , Suhail Basalama , Yuze Chi , Robert F. Lucas , Jason Cong

Region proposal is critical for object detection while it usually poses a bottleneck in improving the computation efficiency on traditional control-flow architectures. We have observed region proposal tasks are potentially suitable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-30 Wenzhi Fu , Jianlei Yang , Pengcheng Dai , Yiran Chen , Weisheng Zhao

Quantum computing is emerging as an important (but radical) technology that might take us beyond Moore's law for certain applications. Today, in parallel with improving quantum computers, computer scientists are relying heavily on quantum…

Hardware Architecture · Computer Science 2023-03-06 Artur Podobas

In this paper, we present efficient solutions for the nonlinear program (NLP) associated with nonlinear model predictive control (NMPC) by leveraging the linear parameter-varying (LPV) embedding of nonlinear models and sequential quadratic…

Optimization and Control · Mathematics 2025-02-19 Dimitrios S. Karachalios , Hossam S. Abbas

Large-scale quantum computers promise transformative speedups, but their viability hinges on fast and reliable quantum error correction (QEC). At the center of QEC are decoders-classical algorithms running on hardware such as FPGAs, GPUs,…

Quantum Physics · Physics 2026-05-19 Satvik Maurya , Abtin Molavi , Aws Albarghouthi , Swamit Tannu

Quantum Key Distribution is the process of using quantum communication to establish a shared key between two parties. It has been demonstrated the unconditional security and effective communication of quantum communication system can be…

Signal Processing · Electrical Eng. & Systems 2019-02-04 Yue Hu , Yan Wu , Yi Chen , G. C. Wan , S. T. Mei