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Leveraging quantum effects in metrology such as entanglement and coherence allows one to measure parameters with enhanced sensitivity. However, time-dependent noise can disrupt such Heisenberg-limited amplification. We propose a…

量子物理 · 物理学 2022-09-23 Yulong Dong , Jonathan Gross , Murphy Yuezhen Niu

Fluctuation enhanced sensing (FES) is a promising method to improve the selectivity and sensitivity of semiconductor and nanotechnology gas sensors. Most measurement setups include high cost signal conditioning and data acquisition units as…

仪器与探测器 · 物理学 2014-05-07 Robert Mingesz , Gergely Vadai , Zoltan Gingl

Quantum-enhanced measurements exploit quantum mechanical effects to provide ultra-precise estimates of physical variables for use in advanced technologies, such as frequency calibration of atomic clocks, gravitational waves detection, and…

量子物理 · 物理学 2014-07-28 J. Calsamiglia , B. Gendra , R. Munoz-Tapia , E. Bagan

In regression analysis under artificial neural networks, the prediction performance depends on determining the appropriate weights between layers. As randomly initialized weights are updated during back-propagation using the gradient…

机器学习 · 计算机科学 2020-09-09 Eunho Koo , Hyungjun Kim

Bayesian optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

机器学习 · 计算机科学 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler

We introduce a framework for Bayesian experimental design (BED) with implicit models, where the data-generating distribution is intractable but sampling from it is still possible. In order to find optimal experimental designs for such…

机器学习 · 统计学 2021-05-11 Steven Kleinegesse , Michael U. Gutmann

Unwanted interaction between a quantum system and its fluctuating environment leads to decoherence and is the primary obstacle to establishing a scalable quantum information processing architecture. Strategies such as environmental and…

Bayesian optimization (BO) has shown impressive results in a variety of applications within low-to-moderate dimensional Euclidean spaces. However, extending BO to high-dimensional settings remains a significant challenge. We address this…

机器学习 · 统计学 2024-03-11 Shouri Hu , Jiawei Li , Zhibo Cai

We present a new quantum error mitigation technique (QEM), called GUiding Extrapolations from Symmetry decayS (GUESS), which exploits Hamiltonian symmetries to improve accuracy of noisy quantum computations. This method is explicitly…

Quantum Phase Estimation (QPE) is a cornerstone algorithm in quantum computing, with applications ranging from integer factorization to quantum chemistry simulations. However, the resource demands of standard QPE, which require a large…

量子物理 · 物理学 2026-03-24 Alok Shukla , Prakash Vedula

Bayesian experimental design involves the optimal allocation of resources in an experiment, with the aim of optimising cost and performance. For implicit models, where the likelihood is intractable but sampling from the model is possible,…

机器学习 · 统计学 2019-02-26 Steven Kleinegesse , Michael Gutmann

Variational hybrid quantum-classical algorithms are some of the most promising workloads for near-term quantum computers without error correction. The aim of these variational algorithms is to guide the quantum system to a target state that…

量子物理 · 物理学 2021-03-18 Shavindra P. Premaratne , A. Y. Matsuura

The formalism of quantum estimation theory with a specific focus on classical data postprocessing is applied to a two-level system driven by an external gyrating magnetic field. We employed both Bayesian and frequentist approaches to…

量子物理 · 物理学 2025-05-05 Chun Kit Dennis Law , József Zsolt Bernád

Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

应用统计 · 统计学 2018-08-24 Ran Rubin

The analysis of gravitational wave interferometer data requires estimates for the noise covariance matrix. For stationary noise, this amounts to estimating the power spectrum. Classical methods such as Welch averaging are used in many…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Toral Gupta , Neil Cornish

Variational Quantum Algorithms (VQAs) employ parameterized quantum circuits optimized using classical methods to minimize a cost function. While VQAs have found broad applications, certain challenges persist. Notably, a significant…

量子物理 · 物理学 2025-03-06 Lucas Friedrich , Jonas Maziero

We present a new scheme to detect and visualize oscillations of a single quantum system in real time. The scheme is based upon a sequence of very weak generalized measurements, distinguished by their low disturbance and low information…

量子物理 · 物理学 2007-05-23 Jürgen Audretsch , Felix E. Klee , Thomas Konrad

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

统计方法学 · 统计学 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

In this paper we consider the problem of tracking the state of a quantum system via a continuous measurement. If the system Hamiltonian is known precisely, this merely requires integrating the appropriate stochastic master equation.…

量子物理 · 物理学 2011-11-29 Jason F. Ralph , Kurt Jacobs , Charles D. Hill

Bayesian optimal experimental design (BOED) provides a powerful, decision-theoretic framework for selecting experiments so as to maximise the expected utility of the data to be collected. In practice, however, its applicability can be…

机器学习 · 统计学 2026-03-13 Louis Sharrock