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Interferometric phase measurement is widely used to precisely determine quantities such as length, speed, and material properties. Without quantum correlations, the best phase sensitivity $\Delta\varphi$ achievable using $n$ photons is the…

We propose a repeat-until-success protocol to improve the performance of probabilistic quantum repeaters. Quantum repeaters rely on passive static linear optics elements and photodetectors to perform Bell-state measurements (BSMs).…

Quantum Physics · Physics 2014-09-10 David Edward Bruschi , Thomas M. Barlow , Mohsen Razavi , Almut Beige

Multi-label learning (MLL) requires comprehensive multi-semantic annotations that is hard to fully obtain, thus often resulting in missing labels scenarios. In this paper, we investigate Single Positive Multi-label Learning (SPML), where…

Machine Learning · Computer Science 2024-05-07 Yanxi Chen , Chunxiao Li , Xinyang Dai , Jinhuan Li , Weiyu Sun , Yiming Wang , Renyuan Zhang , Tinghe Zhang , Bo Wang

Single-shot error correction corrects data noise using only a single round of noisy measurements on the data qubits, removing the need for intensive measurement repetition. We introduce a general concept of confinement for quantum codes,…

Quantum Physics · Physics 2021-06-23 Armanda O. Quintavalle , Michael Vasmer , Joschka Roffe , Earl T. Campbell

Entangled quantum probes can achieve Heisenberg-limited measurement precision, but this advantage is typically destroyed by noise. We address this issue by introducing a framework that we call encoded quantum signal processing, which…

Quantum Physics · Physics 2026-03-25 Carlos Ortiz Marrero , Rui Jie Tang , Nathan Wiebe

Weak form Scientific Machine Learning (WSciML) is a recently developed framework for data-driven modeling and scientific discovery. It leverages the weak form of equation error residuals to provide enhanced noise robustness in system…

Numerical Analysis · Mathematics 2025-07-08 April Tran , David Bortz

Recent advances in unsupervised learning have highlighted the possibility of learning to reconstruct signals from noisy and incomplete linear measurements alone. These methods play a key role in medical and scientific imaging and sensing,…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Julián Tachella , Laurent Jacques

Many existing quantum supervised learning (SL) schemes consider data given a priori in a classical description. With only noisy intermediate-scale quantum (NISQ) devices available in the near future, their quantum speedup awaits the…

Quantum Physics · Physics 2019-11-04 Quntao Zhuang , Zheshen Zhang

Quantum amplifiers are intrinsically nonlinear systems whose performance limits are set by quantum mechanics. In quantum measurement, amplifier operation is conventionally optimized in the linear regime by maximizing signal-to-noise ratio,…

Quantum Physics · Physics 2026-03-16 Elif Cüce , Saeed A. Khan , Boris Mesits , Michael Hatridge , Hakan E. Türeci

We present filtering equations for single shot parameter estimation using continuous quantum measurement. By embedding parameter estimation in the standard quantum filtering formalism, we derive the optimal Bayesian filter for cases when…

Quantum Physics · Physics 2009-02-13 Bradley A. Chase , J. M. Geremia

Quantum metrology enables parameter estimation beyond classical limits by exploiting nonclassical resources such as squeezing and entanglement. In distributed quantum sensing, Heisenberg scaling has been extended from $1/N^2$ to $1/(NM)^2$…

Quantum Physics · Physics 2026-03-20 Hanbom Yoo , Hyukgun Kwon , Seongjin Hong

Variational quantum circuits have become a widely used tool for performing quantum machine learning (QML) tasks on labeled quantum states. In some specific tasks or for specific variational ans\"atze, one may perform measurements on a…

Quantum Physics · Physics 2026-01-14 Andrey Kardashin , Konstantin Antipin

The characterization of observables, expressed via Hermitian operators, is a crucial task in quantum mechanics. For this reason, an eigensolver is a fundamental algorithm for any quantum technology. In this work, we implement a…

Quantum Physics · Physics 2021-06-15 C. -Y. Pan , M. Hao , N. Barraza , E. Solano , F. Albarran-Arriagada

Quantum phase estimation is the flagship algorithm for quantum simulation on fault-tolerant quantum computers. We demonstrate that an \emph{off-grid} compressed sensing protocol, combined with a state-of-the-art signal classification…

Quantum Physics · Physics 2025-07-17 Davide Castaldo , Stefano Corni

Self-supervised learning (SSL) has recently advanced through non-contrastive methods that couple an invariance term with variance, covariance, or redundancy-reduction penalties. While such objectives shape first- and second-order statistics…

Machine Learning · Computer Science 2026-05-18 Benyamin Ghojogh , M. Hadi Sepanj , Paul Fieguth

Quantum Machine Learning (QML) has emerged as a promising framework for exploring how quantum dynamics may enhance data processing tasks. Here we investigate Quantum Extreme Learning Machines (QELMs), a quantum analogue of classical Extreme…

Quantum Physics · Physics 2026-04-27 A. De Lorenzis , M. P. Casado , N. Lo Gullo , T. Lux , F. Plastina , A. Riera

Ensembling has proven to be a powerful technique for boosting model performance, uncertainty estimation, and robustness in supervised learning. Advances in self-supervised learning (SSL) enable leveraging large unlabeled corpora for…

Machine Learning · Computer Science 2023-04-11 Yangjun Ruan , Saurabh Singh , Warren Morningstar , Alexander A. Alemi , Sergey Ioffe , Ian Fischer , Joshua V. Dillon

Quantum sensors outperform their classical counterparts in their estimation precision, given the same amount of resources. So far, quantum-enhanced sensitivity has been achieved by exploiting the superposition principle. This enhancement…

Quantum Physics · Physics 2022-10-05 Victor Montenegro , Gareth Siôn Jones , Sougato Bose , Abolfazl Bayat

In a world burdened by air pollution, the integration of state-of-the-art sensor calibration techniques utilizing Quantum Computing (QC) and Machine Learning (ML) holds promise for enhancing the accuracy and efficiency of air quality…

The use of supervised Machine Learning (ML) to enhance Intrusion Detection Systems has been the subject of significant research. Supervised ML is based upon learning by example, demanding significant volumes of representative instances for…

Cryptography and Security · Computer Science 2022-11-08 Hanan Hindy , Christos Tachtatzis , Robert Atkinson , David Brosset , Miroslav Bures , Ivan Andonovic , Craig Michie , Xavier Bellekens