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By using a systematic optimization approach we determine quantum states of light with definite photon number leading to the best possible precision in optical two mode interferometry. Our treatment takes into account the experimentally…

The gravitational wave detector of higher sensitivity and greater bandwidth in kilohertz window is required for future gravitational wave astronomy and cosmology. Here we present a new type broadband high frequency laser interferometer…

Instrumentation and Methods for Astrophysics · Physics 2021-07-15 Meng-Jun Hu , Shuai Zha , Yong-Sheng Zhang

Many works have stated that nonlinear interactions can improve phase sensitivity beyond the Heisenberg limit scaling of $1/N$ with $N$ being the mean photon number. This raises some open questions---among them the conclusive sensitivity…

Quantum Physics · Physics 2019-06-27 Jian-Dong Zhang , Zi-Jing Zhang , Jun-Yan Hu , Long-Zhu Cen , Yi-Fei Sun , Chen-Fei Jin , Yuan Zhao

We address the performance of an interferometric setup in which a squeezed single photon interferes at a beam splitter with a coherent state. Our analysis in based on both the quantum Fisher information and the sensitivity when a…

Quantum Physics · Physics 2018-02-09 Stefano Olivares , Maria Popovic , Matteo G. A. Paris

Quantum coherence is critical resource for applications in quantum technology, among which quantum-enhanced sensing represents a typical example.Compared with quantum metrology with entangled states of multiple qubits, bosonic…

Quantum Physics · Physics 2025-04-01 Xiao-Wei Zheng , Jun-Cong Zheng , Xue-Feng Pan , Pengbo Li

The astrophysical reach of current and future ground-based gravitational-wave detectors is mostly limited by quantum noise, induced by vacuum fluctuations entering the detector output port. The replacement of this ordinary vacuum field with…

Two-mode squeezing is central to entangled-photon generation and nonlinear interferometry, yet standard perturbative low-gain treatments and Gaussian formalisms can obscure the interference of photon-number amplitudes, especially in…

Quantum Physics · Physics 2026-02-11 Xuemei Gu , Carlos Ruiz-Gonzalez , Mario Krenn

Microarcsecond resolutions afforded by an optical-NIR array with kilometer-baselines would enable breakthrough science. However significant technology barriers exist in transporting weakly coherent photon states over these distances:…

We consider a class of proposed gravitational wave detectors based on multiple atomic interferometers separated by large baselines and referenced by common laser systems. We compute the sensitivity limits of these detectors due to intrinsic…

General Relativity and Quantum Cosmology · Physics 2015-06-03 John G. Baker , James Ira Thorpe

Quantum metrology seeks to leverage the richness of quantum systems for making better measurements than are possible using only classical resources in order to gain a ``quantum advantage''. Quantum metrology schemes must also be resilient…

Precision measurements of space and time, like those made by the detectors of the Laser Interferometer Gravitational-wave Observatory (LIGO), are often confronted with fundamental limitations imposed by quantum mechanics. The Heisenberg…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Wenxuan Jia , Victoria Xu , Kevin Kuns , Masayuki Nakano , Lisa Barsotti , Matthew Evans , Nergis Mavalvala , Rich Abbott , Ibrahim Abouelfettouh , Rana Adhikari , Alena Ananyeva , Stephen Appert , Koji Arai , Naoki Aritomi , Stuart Aston , Matthew Ball , Stefan Ballmer , David Barker , Beverly Berger , Joseph Betzwieser , Dripta Bhattacharjee , Garilynn Billingsley , Nina Bode , Edgard Bonilla , Vladimir Bossilkov , Adam Branch , Aidan Brooks , Daniel Brown , John Bryant , Craig Cahillane , Huy-tuong Cao , Elenna Capote , Yanbei Chen , Filiberto Clara , Josh Collins , Camilla Compton , Robert Cottingham , Dennis Coyne , Ryan Crouch , Janos Csizmazia , Torrey Cullen , Louis Dartez , Nicholas Demos , Ezekiel Dohmen , Jenne Driggers , Sheila Dwyer , Anamaria Effler , Aldo Ejlli , Todd Etzel , Jon Feicht , Raymond Frey , William Frischhertz , Peter Fritschel , Valery Frolov , Paul Fulda , Michael Fyffe , Dhruva Ganapathy , Bubba Gateley , Joe Giaime , Dwayne Giardina , Jane Glanzer , Evan Goetz , Aaron Jones , Slawomir Gras , Corey Gray , Don Griffith , Hartmut Grote , Tyler Guidry , Evan Hall , Jonathan Hanks , Joe Hanson , Matthew Heintze , Adrian Helmling-cornell , Hsiang-yu Huang , Yuki Inoue , Alasdair James , Austin Jennings , Srinath Karat , Marie Kasprzack , Keita Kawabe , Nutsinee Kijbunchoo , Jeffrey Kissel , Antonios Kontos , Rahul Kumar , Michael Landry , Brian Lantz , Michael Laxen , Kyung-ha Lee , Madeline Lesovsky , Francisco Llamas , Marc Lormand , Hudsonalexander Loughlin , Ronaldas Macas , Myron Macinnis , Camille Makarem , Benjaminrobert Mannix , Georgia Mansell , Rodica Martin , Nyath Maxwell , Garrett Mccarrol , Richard Mccarthy , David Mcclelland , Scott Mccormick , Lee Mcculler , Terry Mcrae , Fernando Mera , Edmond Merilh , Fabian Meylahn , Richard Mittleman , Dan Moraru , Gerardo Moreno , Matthew Mould , Adam Mullavey , Timothy Nelson , Ansel Neunzert , Jason Oberling , Timothy Ohanlon , Charles Osthelder , David Ottaway , Harry Overmier , William Parker , Arnaud Pele , Huyen Pham , Marc Pirello , Volker Quetschke , Karla Ramirez , Jonathan Reyes , Jonathan Richardson , Mitchell Robinson , Jameson Rollins , Janeen Romie , Michael Ross , Travis Sadecki , Anthony Sanchez , Eduardo Sanchez , Luis Sanchez , Richard Savage , Dean Schaetzl , Mitchell Schiworski , Roman Schnabel , Robert Schofield , Eyal Schwartz , Danny Sellers , Thomas Shaffer , Ryan Short , Daniel Sigg , Bram Slagmolen , Siddharth Soni , Ling Sun , David Tanner , Michael Thomas , Patrick Thomas , Keith Thorne , Calum Torrie , Gary Traylor , Gabriele Vajente , Jordan Vanosky , Alberto Vecchio , Peter Veitch , Ajay Vibhute , Erik Vonreis , Jim Warner , Betsy Weaver , Rainer Weiss , Chris Whittle , Benno Willke , Christopher Wipf , Hiro Yamamoto , Haocun Yu , Liyuan Zhang , Michael Zucker

We provide general bounds of phase estimation sensitivity in linear two-mode interferometers. We consider probe states with a fluctuating total number of particles. With incoherent mixtures of state with different total number of particles,…

Quantum Physics · Physics 2015-06-22 Luca Pezzè , Philipp Hyllus , Augusto Smerzi

The Standard Quantum Limit in continuous monitoring of a system is given by the trade-off of shot noise and back-action noise. In gravitational-wave detectors, such as Advanced LIGO, both contributions can simultaneously be squeezed in a…

We present an innovative optical imaging system for measuring parameters of a small particle such as a macromolecule or nanoparticle at the quantum limit of sensitivity. In comparison to the conventional confocal interferometric scattering…

Quantum Physics · Physics 2025-07-14 Fabian Müller , Emre Köse , Alfred J. Meixner , Erik Schäffer , Daniel Braun

The ability to perform high-precision optical measurements is paramount to science and engineering. Laser interferometry enables interaction-free sensing with a precision ultimately limited by shot noise. Quantum optical sensors can surpass…

We propose an enhanced optical interferometer based on tailored non-classical light generated by nonlinear dynamics and projective measurements in a three-level atom cavity QED system. A coherent state in the cavity becomes dynamically…

Quantum Physics · Physics 2019-03-21 K. Gietka , T. Wasak , J. Chwedenczuk , F. Piazza , H. Ritsch

Recent advances in quantum photonics have enabled increasingly robust protocols in optical phase estimation, achieving precisions beyond the standard quantum limit and approaching the Heisenberg limit. While intrinsic losses hinder the…

Machine learning has become an effective tool for processing the extensive data sets produced by large physics experiments. Gravitational-wave detectors are now listening to the universe with quantum-enhanced sensitivity, accomplished with…

Instrumentation and Methods for Astrophysics · Physics 2023-11-07 Chris Whittle , Ge Yang , Matthew Evans , Lisa Barsotti

Phase super-sensitivity is obtained when the sensitivity in a phase measurement goes beyond the quantum shot noise limit, whereas super-resolution is obtained when the interference fringes in an interferometer are narrower than half the…

Interferometers operating at or close to quantum limits of precision have found wide application in tabletop searches for physics beyond the standard model, the study of fundamental forces and symmetries of nature and foundational tests of…

Quantum Physics · Physics 2016-01-12 H. F. H. Cheung , Y. S. Patil , L. Chang , S. Chakram , M. Vengalattore