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Shor's algorithm is one of the most prominent quantum algorithms, yet finding efficient implementations remains an active research challenge. While many approaches focus on low-level modular arithmetic optimizations, a broader perspective…

Quantum Physics · Physics 2025-12-23 Moritz Schmidt , Abhoy Kole , Leon Wichette , Rolf Drechsler , Frank Kirchner , Elie Mounzer

Variable sharing is a fundamental property in the static analysis of logic programs, since it is instrumental for ensuring correctness and increasing precision while inferring many useful program properties. Such properties include modes,…

Programming Languages · Computer Science 2025-01-22 Daniel Jurjo-Rivas , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

We investigate the cryptanalysis of affine ciphers using a hybrid neural network architecture that combines modular arithmetic-aware and statistical feature-based learning. Inspired by recent advances in interpretable neural networks for…

Cryptography and Security · Computer Science 2025-07-22 Vanja Stojanović , Žiga Lesar , CIril Bohak

Recently, residual reconstruction-based model quantization methods have achieved promising performance in low-bit post-training quantization (PTQ) by introducing cross-layer residuals to reduce error accumulated from previous…

Machine Learning · Computer Science 2026-05-19 Le Su , Xing Luo , Zhi Jin

We introduce the technique of adaptive discretization to design an efficient model-based episodic reinforcement learning algorithm in large (potentially continuous) state-action spaces. Our algorithm is based on optimistic one-step value…

Machine Learning · Computer Science 2020-10-26 Sean R. Sinclair , Tianyu Wang , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Deep neural networks are widely deployed in many fields. Due to the in-situ computation (known as processing in memory) capacity of the Resistive Random Access Memory (ReRAM) crossbar, ReRAM-based accelerator shows potential in accelerating…

Hardware Architecture · Computer Science 2024-03-11 Chenguang Zhang , Zhihang Yuan , Xingchen Li , Guangyu Sun

Security analysis is a critical part in any cryptographic protocol, may it be classical or quantum. Without security analysis, one cannot ensure the secrecy of the distributed keys. To perform a conclusive security analysis, it is very…

Quantum Physics · Physics 2025-08-19 Sawan Bhattacharyya , Turbasu Chatterjee , Pankaj Agrawal , Prasenjit Deb

Current quantum computer designs will not scale. To scale beyond small prototypes, quantum architectures will likely adopt a modular approach with clusters of tightly connected quantum bits and sparser connections between clusters. We…

Quantum Physics · Physics 2020-05-26 Jonathan M. Baker , Casey Duckering , Alexander Hoover , Frederic T. Chong

We follow up on the idea of Lars Arge to rephrase the Reduce and Apply procedures of Binary Decision Diagrams (BDDs) as iterative I/O-efficient algorithms. We identify multiple avenues to simplify and improve the performance of his proposed…

Data Structures and Algorithms · Computer Science 2026-03-25 Steffan Christ Sølvsten , Jaco van de Pol , Anna Blume Jakobsen , Mathias Weller Berg Thomasen

Current and near-term quantum hardware is constrained by limited qubit counts, circuit depth, and the high cost of repeated measurements. We address these challenges for solid state Hamiltonians by introducing a logarithmic-qubit encoding…

Quantum Physics · Physics 2026-05-13 Martin Plesch , Martin Friák , Ijaz Ahamed Mohammad

Modular quantum computing architectures are a promising alternative to monolithic QPU (Quantum Processing Unit) designs for scaling up quantum devices. They refer to a set of interconnected QPUs or cores consisting of tightly coupled…

We provide a comprehensive performance comparison of soft-output and hard-output demodulators in the context of non-iterative multiple-input multiple-output bit-interleaved coded modulation (MIMO-BICM). Coded bit error rate (BER), widely…

Information Theory · Computer Science 2010-12-07 Peter Fertl , Joakim Jalden , Gerald Matz

We propose a sequential minimal optimization method for quantum-classical hybrid algorithms, which converges faster, is robust against statistical error, and is hyperparameter-free. Specifically, the optimization problem of the…

Quantum Physics · Physics 2020-11-04 Ken M. Nakanishi , Keisuke Fujii , Synge Todo

In this paper, we propose a fast algorithm for element selection, a multiplication-free form of dimension reduction that produces a dimension-reduced vector by simply selecting a subset of elements from the input. Dimension reduction is a…

Machine Learning · Computer Science 2026-02-17 Nobutaka Ono

In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of current mathematical research. These models lead to…

Numerical Analysis · Mathematics 2018-03-09 Mario Ohlberger , Stephan Rave , Sebastian Schmidt , Shiquan Zhang

Rapid progress in the design of scalable, robust quantum computing necessitates efficient quantum circuit implementation for algorithms with practical relevance. For several algorithms, arithmetic kernels, in particular, division plays an…

Quantum Physics · Physics 2024-03-05 Siyi Wang , Eugene Lim , Anupam Chattopadhyay

This paper presents CERMET, an energy-efficient hardware architecture designed for hardware-constrained cryptosystems. CERMET employs a base cryptosystem in conjunction with network coding to provide both information-theoretic and…

Cryptography and Security · Computer Science 2023-08-10 Jongchan Woo , Vipindev Adat Vasudevan , Benjamin Kim , Alejandro Cohen , Rafael G. L. D'Oliveira , Thomas Stahlbuhk , Muriel Médard

This paper presents efficient algorithms, designed to leverage SIMD for performing Montgomery reductions and additions on integers larger than 512 bits. The existing algorithms encounter inefficiencies when parallelized using SIMD due to…

Cryptography and Security · Computer Science 2023-09-01 Pengchang Ren , Reiji Suda , Vorapong Suppakitpaisarn

Decreasing sequence length is a common way to accelerate transformers, but prior token reduction work often targets classification and reports proxy metrics rather than end-to-end latency. For semantic segmentation, token reduction is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Simon Ravé , Pejman Rasti , David Rousseau

This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) such as the reduced basis method employ a (Petrov-)Galerkin…

Numerical Analysis · Mathematics 2023-12-05 Nicholas Mueller , Santiago Badia