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Classical program analysis techniques, such as abstract interpretation and symbolic execution, are essential for ensuring software correctness, optimizing performance, and enabling compiler optimizations. However, these techniques face…

Quantum Physics · Physics 2025-10-14 Yicheng Guang , Pietro Zanotta , Kai Zhou , Yueqi Chen , Ramin Ayanzadeh

Scaling test-time compute has driven the recent advances in the reasoning capabilities of large language models (LLMs), typically by allocating additional computation for more thorough exploration. However, increased compute often comes at…

Artificial Intelligence · Computer Science 2026-02-20 Mert Cemri , Nived Rajaraman , Rishabh Tiwari , Xiaoxuan Liu , Kurt Keutzer , Ion Stoica , Kannan Ramchandran , Ahmad Beirami , Ziteng Sun

Quantum computation based on geometric phase is generally believed to be more robust against certain errors or noises than the conventional dynamical strategy. However, the gate error caused by the decoherence effect is inevitable, and thus…

Quantum Physics · Physics 2021-10-13 Pu Shen , Tao Chen , Zheng-Yuan Xue

Two-dimensional color codes are a promising candidate for fault-tolerant quantum computing, as they have high encoding rates, transversal implementation of logical Clifford gates, and resource-efficient magic state preparation schemes.…

Quantum Physics · Physics 2025-01-29 Seok-Hyung Lee , Andrew Li , Stephen D. Bartlett

Recently, it was realized that use of the properties of quantum mechanics might speed up certain computations dramatically. Interest in quantum computation has since been growing. One of the main difficulties of realizing quantum…

Quantum Physics · Physics 2008-02-03 Peter W. Shor

Recent years have seen unprecedented advance in the design and control of quantum computers. Nonetheless, their applicability is still restricted and access remains expensive. Therefore, a substantial amount of quantum algorithms research…

Quantum Physics · Physics 2020-12-11 Thomas Grurl , Richard Kueng , Jürgen Fuß , Robert Wille

Atom loss is a dominant error source in neutral-atom quantum processors, yet its correlated structure remains largely unexploited by existing quantum error correction decoders. We analyze the performance of the surface code equipped with…

Quantum Physics · Physics 2026-04-27 Hugo Perrin , Gatien Roger , Guido Pupillo

Speculative decoding accelerates large language model inference by using smaller draft models to generate candidate tokens for parallel verification. However, current approaches are limited by sequential stage dependencies that prevent full…

Artificial Intelligence · Computer Science 2025-05-06 Bradley McDanel , Sai Qian Zhang , Yunhai Hu , Zining Liu

Concurrent programs are difficult to test due to their inherent non-determinism. To address this problem, testing often requires the exploration of thread schedules of a program; this can be time-consuming when applied to real-world…

Software Engineering · Computer Science 2018-04-11 Tingting Yu , Wei Wen , Xue Han , Jane Hayes

A novel decoding algorithm is developed for general quantum convolutional codes. Exploiting useful ideas from classical coding theory, the new decoder introduces two innovations that drastically reduce the decoding complexity compared to…

Quantum Physics · Physics 2015-03-13 Peiyu Tan , Jing Li

Noise in quantum computing is countered with quantum error correction. Achieving optimal performance will require tailoring codes and decoding algorithms to account for features of realistic noise, such as the common situation where the…

Quantum Physics · Physics 2020-04-02 David K. Tuckett , Stephen D. Bartlett , Steven T. Flammia , Benjamin J. Brown

Fault-tolerant quantum computation enables reliable quantum computation but incurs a significant overhead from both time and resource perspectives. To reduce computation time, Austin G. Fowler proposed time-optimal quantum computation by…

Quantum Physics · Physics 2024-05-02 Taewan Kim , Kyunghyun Baek , Yongsoo Hwang , Jeongho Bang

Postselected quantum computation is distinguished from regular quantum computation by accepting the output only if measurement outcomes satisfy predetermined conditions. The output must be accepted with nonzero probability. Methods for…

Quantum Physics · Physics 2007-05-23 E. Knill

Large language models (LLMs) are increasingly used for long-content generation (e.g., long Chain-of-Thought reasoning) where decoding efficiency becomes a critical bottleneck: Autoregressive decoding is inherently limited by its sequential…

Computation and Language · Computer Science 2025-06-05 Zhepei Wei , Wei-Lin Chen , Xinyu Zhu , Yu Meng

Achieving reliable performance on early fault-tolerant quantum hardware will depend on protocols that manage noise without incurring prohibitive overhead. We propose a novel framework that integrates quantum computation with the…

Quantum Physics · Physics 2026-03-10 IlKwon Sohn , Changyeol Lee , Wooyeong Song , Kwangil Bae , Wonhyuk Lee

Recent advancements in speculative decoding have demonstrated considerable speedup across a wide array of large language model (LLM) tasks. Speculative decoding inherently relies on sacrificing extra memory allocations to generate several…

Machine Learning · Computer Science 2025-06-04 Selin Yildirim , Deming Chen

This technical report describes the design and training of novel speculative decoding draft models, for accelerating the inference speeds of large language models in a production environment. By conditioning draft predictions on both…

Computation and Language · Computer Science 2024-06-10 Davis Wertheimer , Joshua Rosenkranz , Thomas Parnell , Sahil Suneja , Pavithra Ranganathan , Raghu Ganti , Mudhakar Srivatsa

The estimation of the correlation between time series is often hampered by the asynchronicity of the signals. Cumulating data within a time window suppresses this source of noise but weakens the statistics. We present a method to estimate…

Data Analysis, Statistics and Probability · Physics 2009-02-18 Bence Toth , Janos Kertesz

Large language models (LLMs) have shown outstanding performance across numerous real-world tasks. However, the autoregressive nature of these models makes the inference process slow and costly. Speculative decoding has emerged as a…

Artificial Intelligence · Computer Science 2025-03-17 Zongyue Qin , Zifan He , Neha Prakriya , Jason Cong , Yizhou Sun

Practical large-scale quantum computation requires both efficient error correction and robust implementation of logical operations. Three-dimensional (3D) color codes are a promising candidate for fault-tolerant quantum computation due to…

Quantum Physics · Physics 2025-12-23 Friederike Butt , Lars Esser , Markus Müller
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