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We demonstrate the possibility of surpassing the quantum noise limit for simultaneous multi-axis spatial displacement measurements that have zero mean values. The requisite resources for these measurements are squeezed light beams with…

Quantum Physics · Physics 2009-11-10 N. Treps , N. Grosse , W. P. Bowen , M. T. L. Hsu , A. Maitre , C. Fabre , H. -A. Bachor , P. K. Lam

We report an experimental demonstration of optimal measurements of small displacement and tilt of a Gaussian beam - two conjugate variables - involving a homodyne detection with a TEM10 local oscillator. We verify that the standard split…

Estimation of an optical beam's transverse displacement is a canonical imaging problem fundamental to numerous optical imaging and sensing tasks. Quantum enhancements to the measurement precision in this problem have been studied…

Quantum Physics · Physics 2025-09-16 Wenhua He , Christos N. Gagatsos , Dalziel J. Wilson , Saikat Guha

We develop a novel technique to measure small angular and lateral displacements of structured light beams. The technique relies on using high-order Hermite-Gaussian (HG) and Laguerre-Gaussian (LG) modes, which have well-defined symmetry…

Using continuous wave superposition of spatial modes, we demonstrate experimentally displacement measurement of a light beam below the standard quantum limit. Multimode squeezed light is obtained by mixing a vacuum squeezed beam and a…

Quantum Physics · Physics 2009-11-07 N. Treps , U. Andersen , B. Buchler , P. K. Lam , A. Maitre , H. -A. Bachor , C. Fabre

We put forward a method that allows the experimental determination of the entire spatial mode spectrum of any arbitrary monochromatic wave field in a plane normal to its propagation direction. For coherent optical fields, our spatial…

Quantum Physics · Physics 2011-02-08 Gabriel F. Calvo , Antonio Picón , Roberta Zambrini

The transverse spatial attributes of an optical beam can be decomposed into the position, momentum and orbital angular momentum observables. The position and momentum of a beam is directly related to the quadrature amplitudes, whilst the…

Quantum Physics · Physics 2015-05-13 M. T. L. Hsu , W. P. Bowen , P. K. Lam

We present the experimental implementation of simultaneous spatial multimode demultiplexing as a distance measurement tool. We first show a simple and intuitive derivation of the Fisher information in the presence of Poissonian noise. We…

Optics · Physics 2020-08-06 Pauline Boucher , Claude Fabre , Guillaume Labroille , Nicolas Treps

Quantum optical metrology aims to identify ultimate sensitivity bounds for the estimation of parameters encoded into quantum states of the electromagnetic field. In many practical applications, including imaging, microscopy, and remote…

Quantum Physics · Physics 2023-02-15 Giacomo Sorelli , Manuel Gessner , Nicolas Treps , Mattia Walschaers

We present a general, second quantization procedure for multi-transverse-spatial mode Gaussian beam dynamics in nonlinear interactions. Previous treatments have focused on the spectral density and angular distribution of spatial modes. Here…

A central challenge in Gravitational Wave Astronomy is identifying weak signals in the presence of non-stationary and non-Gaussian noise. The separation of gravitational wave signals from noise requires good models for both. When accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Neil J. Cornish , Tyson B. Littenberg

We explore the use of higher-order Hermite-Gauss modes for sensing optically induced transverse displacements. In the small-displacement regime, we show that projective measurements onto the two neighboring spatial modes yield optimal…

Optics · Physics 2025-06-04 Dilip Paneru , Alessio D'Errico , Ebrahim Karimi

Gaussian states, operations, and measurements are central building blocks for continuous-variable quantum information processing which paves the way for abundant applications, especially including network-based quantum computation and…

Quantum Physics · Physics 2021-07-06 Mengzhen Zhang

We consider the general problem of the quantum noise in a multipixel measurement of an optical image. We first give a precise criterium in order to characterize intrinsic single mode and multimode light. Then, using a transverse mode…

Quantum Physics · Physics 2009-11-10 Nicolas Treps , Vincent Delaubert , Agnes Maitre , Jean-Michel Courty , Claude Fabre

We derive the quantum noise limit for the optical beam displacement of a TEM00 mode. Using a multimodal analysis, we show that the conventional split detection scheme for measuring beam displacement is non-optimal with 80% efficiency. We…

Quantum Physics · Physics 2009-11-10 Magnus T. L. Hsu , Vincent Delaubert , Ping Koy Lam , Warwick Bowen

We consider a hypothesis testing problem for displacement parameters of n independent copies of an m-mode squeezed quantum Gaussian state whose mixture parameter is known. Given n>1, we construct a quantum measurement as a test using an…

Quantum Physics · Physics 2019-01-08 Yoshiyuki Tsuda

Proposed near-future upgrades of the current advanced interferometric gravitational wave detectors include the usage of frequency dependent squeezed light to reduce the current sensitivity-limiting quantum noise. We quantify and describe…

The precise measurement of spatial attitude parameters is critical for applications in inertial navigation, industrial monitoring, instrument calibration, quantum metrology, etc. In this work, we theoretically investigate and experimentally…

Quantum Physics · Physics 2025-12-05 Yu Wang , Rongguo Yang , Jing Zhang , Xiaomin Liu , Chenzhen Luo , Kui Liu , Jiangrui Gao

Adaptive optics has made significant advancement over the past decade, becoming the essential technology in a wide variety of applications, particularly in the realm of quantum optics. One key area of impact is gravitational-wave detection,…

In this thesis we focus on Gaussian quantum metrology in the phase-space formalism and its applications in quantum sensing and the estimation of space-time parameters. We derive new formulae for the optimal estimation of multiple parameters…

Quantum Physics · Physics 2016-10-13 Dominik Šafránek
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