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When storing encoded qubits, if single faults can be corrected and double faults postselected against, logical errors only occur due to at least three faults. At current noise rates, having to restart when two errors are detected prevents…

Quantum Physics · Physics 2024-08-15 Prithviraj Prabhu , Ben W. Reichardt

The use of low-precision fixed-point arithmetic along with stochastic rounding has been proposed as a promising alternative to the commonly used 32-bit floating point arithmetic to enhance training neural networks training in terms of…

Machine Learning · Computer Science 2018-04-17 Marc Ortiz , Adrián Cristal , Eduard Ayguadé , Marc Casas

With the increasing complexity of machine learning models, managing computational resources like memory and processing power has become a critical concern. Mixed precision techniques, which leverage different numerical precisions during…

Machine Learning · Computer Science 2026-04-20 Juyoung Yun , Sol Choi , Francois Rameau , Byungkon Kang , Zhoulai Fu

With disks and networks providing gigabytes per second, parsing decimal numbers from strings becomes a bottleneck. We consider the problem of parsing decimal numbers to the nearest binary floating-point value. The general problem requires…

Data Structures and Algorithms · Computer Science 2022-11-07 Daniel Lemire

The challenging deployment of Artificial Intelligence (AI) and Computer Vision (CV) algorithms at the edge pushes the community of embedded computing to examine heterogeneous System-on-Chips (SoCs). Such novel computing platforms provide…

Hardware Architecture · Computer Science 2024-09-20 Vasileios Leon , Panagiotis Minaidis , George Lentaris , Dimitrios Soudris

Advances in quantum simulator technology is increasingly required because research on quantum algorithms is becoming more sophisticated and complex. State vector simulation utilizes CPU and memory resources in computing nodes exponentially…

Quantum Physics · Physics 2024-09-04 Mikio Morita , Yoshinori Tomita , Junpei Koyama , Koichi Kimura

It is crucial for various quantum information processing tasks that the state of a quantum system can be determined reliably and efficiently from general quantum measurements. One important class of measurements for this purpose is…

Quantum Physics · Physics 2012-12-17 Gelo Noel M. Tabia

We present a technical enhancement within the p4est software for parallel adaptive mesh refinement. In p4est primitives are stored as octants in three and quadrants in two dimensions. While, classically, they are encoded by the native…

Mathematical Software · Computer Science 2023-08-29 Mikhail Kirilin , Carsten Burstedde

Power efficiency is becoming an ever more important metric for both high performance and high throughput computing. Over the course of next decade it is expected that flops/watt will be a major driver for the evolution of computer…

Computational Physics · Physics 2014-10-24 David Abdurachmanov , Peter Elmer , Giulio Eulisse , Shahzad Muzaffar

Probabilistic reasoning is an essential tool for robust decision-making systems because of its ability to explicitly handle real-world uncertainty, constraints and causal relations. Consequently, researchers are developing hybrid models by…

Hardware Architecture · Computer Science 2021-03-02 Nimish Shah , Laura I. Galindez Olascoaga , Wannes Meert , Marian Verhelst

I present two new methods for exactly summing a set of floating-point numbers, and then correctly rounding to the nearest floating-point number. Higher accuracy than simple summation (rounding after each addition) is important in many…

Numerical Analysis · Computer Science 2015-05-22 Radford M. Neal

We perform logical and physical resource estimation for computing binary elliptic curve discrete logarithms using Shor's algorithm on fault-tolerant quantum computers. We adopt a windowed approach to design our circuit implementation of the…

Quantum Physics · Physics 2025-09-01 Michael Garn , Angus Kan

Edge detection refers to identifying points in a digital image where intensity changes sharply, indicating object boundaries or structural features. Corners are locations where gray-level intensity changes abruptly in multiple directions…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Mohammad Aamir Sohail , Gabriela Pinheiro , Yasemin Poyraz Kocak , Batuhan Hangun , Emre Camkerten , Simge Yigit , Hafize Asude Ertan

Quantized low-precision neural networks are very popular because they require less computational resources for inference and can provide high performance, which is vital for real-time and embedded recognition systems. However, their…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Anton Trusov , Elena Limonova , Dmitry Slugin , Dmitry Nikolaev , Vladimir V. Arlazarov

Individual impurity atoms in silicon can make superb individual qubits, but it remains an immense challenge to build a multi-qubit processor: There is a basic conflict between nanometre separation desired for qubit-qubit interactions, and…

Quantum Physics · Physics 2016-04-05 Joe O'Gorman , Naomi H. Nickerson , Philipp Ross , John J. L. Morton , Simon C. Benjamin

Iterative solvers are frequently used in scientific applications and engineering computations. However, the memory-bound Sparse Matrix-Vector (SpMV) kernel computation hinders the efficiency of iterative algorithms. As modern hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-08 Jianhua Gao , Jiayuan Shen , Yuxiang Zhang , Weixing Ji , Hua Huang

Exascale computing will get mankind closer to solving important social, scientific and engineering problems. Due to high prototyping costs, High Performance Computing (HPC) system architects make use of simulation models for design space…

Performance · Computer Science 2018-03-28 Alexandra Ferreron , Radhika Jagtap , Sascha Bischoff , Roxana Rusitoru

Hardware double precision is often insufficient to solve large scientific problems accurately. Computing in higher precision defined by software causes significant computational overhead. The application of parallel algorithms compensates…

Mathematical Software · Computer Science 2020-12-15 Jan Verschelde

Ising machines can solve combinatorial optimization problems by representing them as energy minimization problems. A common implementation is the probabilistic Ising machine (PIM), which uses probabilistic (p-) bits to represent coupled…

Quantum-Kit is a graphical desktop application for quantum circuit simulations. Its powerful, memory-efficient computational engine enables large-scale simulations on a desktop. The ability to design hybrid circuits, with both quantum and…

Quantum Physics · Physics 2020-04-28 Archana Tankasala , Hesameddin Ilatikhameneh
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