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In this paper, we propose a protocol for angular displacement estimation based upon orbital angular momentum coherent state and a SU(1,1)-SU(2) hybrid interferometer. This interferometer consists of an optical parametric amplifier, a beam…

Quantum Physics · Physics 2018-12-06 Jian-Dong Zhang , Zi-Jing Zhang , Long-Zhu Cen , Jun-Yan Hu , Yuan Zhao

We theoretically study the angular displacements estimation based on a modified Mach-Zehnder interferometer (MZI), in which two optical parametric amplifiers (PAs) are introduced into two arms of the standard MZI, respectively. The…

Quantum Physics · Physics 2020-12-10 Gao-Feng Jiao , Qiang Wang , L. Q. Chen , Weiping Zhang , Chun-Hua Yuan

Super-resolved angular displacement estimation is of crucial significances for quantum information process and optical lithography. Here we report on and experimentally demonstrate a protocol for angular displacement estimation based on a…

Quantum Physics · Physics 2020-02-03 Jian-Dong Zhang , Zi-Jing Zhang , Long-Zhu Cen , Jun-Yan Hu , Yuan Zhao

We report on an orbital-angular-momentum-enhanced scheme for angular displacement estimation based on two-mode squeezed vacuum and parity detection. The sub-Heisenberg-limited sensitivity for angular displacement estimation is obtained in…

Quantum Physics · Physics 2018-10-04 Jiandong Zhang , Zijing Zhang , Longzhu Cen , Yuan Zhao

We present an optimal strategy having finite outcomes for estimating a single parameter of the displacement operator on an arbitrary finite dimensional system using a finite number of identical samples. Assuming the uniform {\it a priori}…

Quantum Physics · Physics 2009-11-06 M. Sasaki , A. Carlini , A. Chefles

This study describes a unique optical approach for the noncontact measurement of linear and angular displacement. Compared to previous methods, the sensor system here based on the dual-beam phase-modulated feedback interferometry provides…

Optics · Physics 2022-04-08 Xin Xu , Zongren Dai , Yidong Tan

Beam displacement measurements are widely used in optical sensing and communications; however, their performance is affected by numerous intrinsic and extrinsic factors including beam profile, propagation loss, and receiver architecture.…

Optics · Physics 2025-03-11 Wenhua He , Christos N. Gagatsos , Dalziel J. Wilson , Saikat Guha

The problem of optimally measuring an analytic function of unknown local parameters each linearly coupled to a qubit sensor is well understood, with applications ranging from field interpolation to noise characterization. Here, we resolve a…

Quantum Physics · Physics 2024-03-21 Jacob Bringewatt , Adam Ehrenberg , Tarushii Goel , Alexey V. Gorshkov

We investigate interferometric techniques to estimate the deflection angle of an optical beam and compare them to the direct detection of the beam deflection. We show that quantum metrology methods lead to a unifying treatment for both…

Quantum Physics · Physics 2020-08-12 S. P. Walborn , G. H. Aguilar , P. L. Saldanha , L. Davidovich , R. L. de Matos Filho

This paper introduces a generic filter-based state estimation framework that supports two state-decoupling strategies based on cross-covariance factorization. These strategies reduce the computational complexity and inherently support true…

Robotics · Computer Science 2024-08-27 Roland Jung , Luca Santoro , Davide Brunelli , Daniele Fontanelli , Stephan Weiss

This paper presents an algorithm for the preprocessing of observation data aimed at improving the robustness of orbit determination tools. Two objectives are fulfilled: obtain a refined solution to the initial orbit determination problem…

Numerical Analysis · Mathematics 2023-11-07 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Matteo Losacco , Francesco Sanfedino

This thesis develops a general theoretical and numerical framework for achieving high-contrast atom interferometry based on double Bragg diffraction (DBD). While DBD offers intrinsic symmetry, reduced sensitivity to internal-state…

Quantum Physics · Physics 2026-03-25 Rui Li

In this paper, we report the development of an intensity modulated fiber optic sensor for angular displacement measurement. This sensor was designed to present high sensitivity, linear response, wide bandwidth and, furthermore, to be simple…

Instrumentation and Detectors · Physics 2017-06-27 João M. S. Sakamoto , Cláudio Kitano , Gefeson M. Pacheco , Bernhard R. Tittmann

We study optimal sensor placement for Bayesian state estimation problems in which sensors vary in cost and fidelity, resulting in a budget-constrained multifidelity optimal experimental design problem. Sensor placement optimality is…

Numerical Analysis · Mathematics 2026-02-10 Gabriela Ramon , Geena Sarnoski , Vasishta Tumuluri , Hugo Díaz , Arvind K. Saibaba

We present a theoretical model and numerical optimization of double Bragg diffraction, a widely used technique in atom interferometry. We derive an effective two-level-system Hamiltonian based on the Magnus expansion in the so-called…

Quantum Physics · Physics 2024-12-06 Rui Li , V. J. Martínez-Lahuerta , S. Seckmeyer , Klemens Hammerer , Naceur Gaaloul

Beam alignment enables efficient, stable transmission and control of optical energy and information, which critically depend on precise monitoring and regulation of the three-dimensional (3D) relative positioning between fibers. This study…

Optics · Physics 2025-11-27 Lin Xu , Li Pei , Jianshuai Wang , Zhouyi Hu , Tigang Ning

The paper addresses state estimation for discrete-time systems with binary (threshold) measurements by following a Maximum A posteriori Probability (MAP) approach and exploiting a Moving Horizon (MH) approximation of the MAP cost-function.…

Systems and Control · Computer Science 2018-04-09 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Gherardini

The angular displacement estimation is one of significant branches of quantum parameter estimation. However, most of the studies have focused on the single-angular displacement estimation, while the multiple angular displacement estimation…

Quantum Physics · Physics 2022-11-01 Shoukang Chang , Wei Ye , Xuan Rao , Huan Zhang , Liqing Huang , Mengmeng Luo , Yuetao Chen , Shaoyan Gao

Implementation of the quantum interferometry concept to spin-1 atomic Bose-Einstein condensates is analyzed by employing a polar state evolved in time. In order to identify the best interferometric configurations, the quantum Fisher…

Quantum Gases · Physics 2019-10-24 Artur Niezgoda , Dariusz Kajtoch , Joanna Dziekańska , Emilia Witkowska

Optimal transport induces the Earth Mover's (Wasserstein) distance between probability distributions, a geometric divergence that is relevant to a wide range of problems. Over the last decade, two relaxations of optimal transport have been…

Optimization and Control · Mathematics 2023-01-18 Thibault Séjourné , Jean Feydy , François-Xavier Vialard , Alain Trouvé , Gabriel Peyré
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