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We consider the problem of finding the minimum element in a list of length $N$ using a noisy comparator. The noise is modelled as follows: given two elements to compare, if the values of the elements differ by at least $\alpha$ by some…

Quantum Physics · Physics 2020-03-31 Yihui Quek , Clement Canonne , Patrick Rebentrost

The increasing computational demands of foundation models have spurred research into low-precision training, with 4-bit floating-point (\texttt{FP4}) formats emerging as a frontier for maximizing hardware throughput. While numerous…

Machine Learning · Computer Science 2025-09-23 Robert Hu , Carlo Luschi , Paul Balanca

Mutation analysis has long been used in classical software testing and has recently been adopted for assessing the robustness of quantum software testing techniques. However, existing studies assume ideal, noiseless execution, overlooking…

Software Engineering · Computer Science 2026-05-14 Sophie Fortz , Eñaut Mendiluze Usandizaga , Shaukat Ali , Paolo Arcaini , Mohammad Reza Mousavi

Single-prompt accuracy is the dominant way to benchmark language models, but it can miss reliability failures that matter. We evaluate a 15-model open-weight corpus, with the main reliability analyses focused on 10 instruct models across…

Computation and Language · Computer Science 2026-05-05 Ranit Karmakar , Jayita Chatterjee

Quantum error correction requires the detection of errors by reliable measurements of suitable multi-qubit correlation operators. Here, we experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. An additional…

Quantum systems, in general, output data that cannot be simulated efficiently by a classical computer, and hence is useful for solving certain mathematical problems and simulating quantum many-body systems. This also implies, unfortunately,…

Quantum Physics · Physics 2017-10-04 Keisuke Fujii , Masahito Hayashi

Noise is ubiquitous in quantum systems and is a major obstacle for the advancement of quantum information science. Noise-robust quantum control achieves high-fidelity operations by engineering the evolution path so that first-order noise…

Quantum Physics · Physics 2025-10-09 Junkai Zeng , Xiu-Hao Deng

The goal of standard 1-bit compressive sensing is to accurately recover an unknown sparse vector from binary-valued measurements, each indicating the sign of a linear function of the vector. Motivated by recent advances in compressive…

Machine Learning · Statistics 2020-06-23 Zhaoqiang Liu , Selwyn Gomes , Avtansh Tiwari , Jonathan Scarlett

Measurement-based quantum computing (MBQC) is a promising approach to reducing circuit depth in noisy intermediate-scale quantum algorithms such as the Variational Quantum Eigensolver (VQE). Unlike gate-based computing, MBQC employs local…

Quantum Physics · Physics 2023-12-21 Anna Schroeder , Matthias Heller , Mariami Gachechiladze

In this paper, we study the performance of the PCM scheme with linear quantization rule for quantizing finite unit-norm tight frame expansions for $\R^d$ and derive the PCM quantization error without the White Noise Hypothesis. We prove…

Numerical Analysis · Mathematics 2011-03-22 Yang Wang , Zhiqiang Xu

The use of low-bit quantization has emerged as an indispensable technique for enabling the efficient training of large-scale models. Despite its widespread empirical success, a rigorous theoretical understanding of its impact on learning…

Machine Learning · Statistics 2026-02-17 Dechen Zhang , Junwei Su , Difan Zou

Noisy quantum annealing experiments on Rydberg atom arrays produce measurement outcomes that deviate from ideal distributions, complicating performance evaluation. To enable a data-driven benchmarking methodology for quantum devices that…

Quantum Physics · Physics 2026-02-06 Juyoung Park , Junwoo Jung , Jaewook Ahn

Model compression is vital to the deployment of deep learning on edge devices. Low precision representations, achieved via quantization of weights and activations, can reduce inference time and memory requirements. However, quantifying and…

Machine Learning · Computer Science 2022-10-18 Ben Zandonati , Adrian Alan Pol , Maurizio Pierini , Olya Sirkin , Tal Kopetz

We describe and expand upon the scalable randomized benchmarking protocol proposed in Phys. Rev. Lett. 106, 180504 (2011) which provides a method for benchmarking quantum gates and estimating the gate-dependence of the noise. The protocol…

Quantum Physics · Physics 2012-04-30 Easwar Magesan , Jay M. Gambetta , Joseph Emerson

We propose a novel 2-stage sub 8-bit quantization aware training algorithm for all components of a 250K parameter feedforward, streaming, state-free keyword spotting model. For the 1st-stage, we adapt a recently proposed quantization…

In this paper, we consider the problem of black-box optimization with noisy feedback revealed in batches, where the unknown function to optimize has a bounded norm in some Reproducing Kernel Hilbert Space (RKHS). We refer to this as the…

Machine Learning · Statistics 2026-03-16 Chenkai Ma , Keqin Chen , Jonathan Scarlett

As autonomous agents become more capable of performing real-world tasks, distinguishing scheming behavior from benign task pursuit may become a central AI control problem. Existing monitors often rely on chain-of-thought access or internal…

Computation and Language · Computer Science 2026-05-29 Aditya Sinha , Akshat Naik , Victor Gillioz , Simon Storf , Kilian Merkelbach , Rich Barton-Cooper , Axel Højmark , Marius Hobbhahn

Write disturbance error (WDE) appears as a serious reliability problem preventing phase-change memory (PCM) from general commercialization, and therefore several studies have been proposed to mitigate WDEs. Verify-and-correction (VnC)…

Hardware Architecture · Computer Science 2022-08-10 Hyokeun Lee , Seungyong Lee , Byeongki Song , Moonsoo Kim , Seokbo Shim , Hyuk-Jae Lee , Hyun Kim

Code generation models are widely used in software development, yet their sensitivity to prompt phrasing remains under-examined. Identical requirements expressed with different emotions or communication styles can yield divergent outputs,…

Software Engineering · Computer Science 2025-09-18 Wei Ma , Yixiao Yang , Jingquan Ge , Xiaofei Xie , Lingxiao Jiang

We address the problem of testing the quantumness of two-dimensional systems in the prepare-and-measure (PM) scenario, using a large number of preparations and a large number of measurement settings, with binary outcome measurements. In…

Quantum Physics · Physics 2024-07-08 Péter Diviánszky , István Márton , Erika Bene , Tamás Vértesi
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