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Quantum optical systems comprising quantum emitters interacting with engineered optical modes generate non-classical states of light that can be used as resource states for quantum-enhanced interferometry. However, outside of…

Quantum Physics · Physics 2025-09-03 Erfan Abbasgholinejad , Daniel Malz , Ana Asenjo-Garcia , Rahul Trivedi

Optomechanical systems are rapidly becoming one of the most promising platforms for observing quantum behaviour, especially at the macroscopic level. Moreover, thanks to their state-of-the-art methods of fabrication, they may now enter…

Quantum Physics · Physics 2022-09-21 Lewis A. Clark , Bartosz Markowicz , Jan Kołodyński

The fields of precision timekeeping and spectroscopy increasingly rely on optical frequency comb interferometry. However, comb-based measurements are not described by existing quantum theory because they exhibit both large mode mismatch and…

Quantum Physics · Physics 2024-04-02 Noah Lordi , Eugene J. Tsao , Alexander J. Lind , Scott A. Diddams , Joshua Combes

We develop methods to find the limits to finite-time single photon extraction from emitter-cavity systems. We first establish analytic upper and lower bounds on the maximum extraction probability from a canonical $\Lambda$-system before…

Quantum Physics · Physics 2024-06-17 William J. Hughes , Joseph F. Goodwin , Peter Horak

We propose a protocol for the second-order nonlinear phase estimation with a coherent state as input and balanced homodyne detection as measurement strategy. The sensitivity is sub-Heisenberg limit, which scales as $N^{-3/2}$ for $N$…

Quantum Physics · Physics 2019-06-24 Jian-Dong Zhang , Zi-Jing Zhang , Jun-Yan Hu , Long-Zhu Cen , Yi-Fei Sun , Chen-Fei Jin , Yuan Zhao

Continuously monitored quantum systems are emerging as promising platforms for quantum metrology, where a central challenge is to identify measurement strategies that optimally extract information about unknown parameters encoded in the…

Quantum Physics · Physics 2026-02-11 Alejandro Vivas-Viaña , Carlos Sánchez Muñoz

Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher information measurement…

Quantum Physics · Physics 2024-09-30 Francesco Albarelli , Ilaria Gianani , Marco G. Genoni , Marco Barbieri

Recent theoretical studies in quantum spectroscopy have emphasized the potential of non-classical correlations in entangled photon pairs for selectively targeting specific nonlinear optical processes in nonlinear optical responses. However,…

Chemical Physics · Physics 2026-04-21 Yuta Fujihashi , Ozora Iso , Ryosuke Shimizu , Akihito Ishizaki

We propose a general quantum theory of optical phase and instantaneous frequency in the time domain for slowly varying optical signals. Guided by classical estimation theory, we design homodyne phase-locked loops that enable quantum-limited…

Quantum Physics · Physics 2008-11-18 Mankei Tsang , Jeffrey H. Shapiro , Seth Lloyd

Quantum emitters are a key resource in quantum technologies, microscopy, and other applications. The ability to rapidly detect them is useful both for quality control in engineered emitter arrays and for high-contrast imaging of naturally…

Quantum Physics · Physics 2025-06-27 Warwick P. Bowen

Spectroscopy has an illustrious history delivering serendipitous discoveries and providing a stringent testbed for new physical predictions, including applications from trace materials detection, to understanding the atmospheres of stars…

Atomic Physics · Physics 2015-01-05 Gar-Wing Truong , James D. Anstie , Eric F. May , Thomas M. Stace , Andre N. Luiten

Systems equipped with modern sensing modalities such as vision and lidar gain access to increasingly high-dimensional measurements with which to enact estimation and control schemes. In this article, we examine the continuum limit of…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Maxwell Varley , Timothy L. Molloy , Girish N. Nair

A theory of correlations between N photons of given frequencies and detected at given time delays is presented. These correlation functions are usually too cumbersome to be computed explicitly. We show that they are obtained exactly through…

The learning of the physical world relies on sensing and data post-processing. When the signals are weak, multidimensional and correlated, the performance of learning is often bottlenecked by the quality of sensors, calling for integrating…

Quantum Physics · Physics 2025-12-09 Jia-Jin Feng , Anthony J. Brady , Quntao Zhuang

Many researches proposed the use of the noon state as the input state for phase estimation, which is one topic of quantum metrology. This is because the input noon state provides the maximum Fisher information at the specific point.…

Quantum Physics · Physics 2011-06-24 Masahito Hayashi

The production of conditional quantum states and quantum operations based on the result of measurement is now seen as a key tool in quantum information and metrology. We propose a new type of photon number detector. It functions…

Quantum Physics · Physics 2009-11-10 A. M. Branczyk , Tobias J. Osborne , Alexei Gilchrist , T. C. Ralph

An approach based on the Fisher information (FI) is developed to quantify the maximum information gain and optimal experimental design in neutron reflectometry experiments. In these experiments, the FI can be analytically calculated and…

Data Analysis, Statistics and Probability · Physics 2021-08-03 James H. Durant , Lucas Wilkins , Keith Butler , Joshaniel F. K. Cooper

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…

In a number of data-driven applications such as detection of arrhythmia, interferometry or audio compression, observations are acquired indistinctly in the time or frequency domains: temporal observations allow us to study the spectral…

Signal Processing · Electrical Eng. & Systems 2020-11-10 Felipe Tobar , Lerko Araya-Hernández , Pablo Huijse , Petar M. Djurić

We present a scheme for a photon-counting detection system that can be operated at incident photon rates higher than otherwise possible by suppressing the effects of detector deadtime. The method uses an array of N detectors and a 1-by-N…

Quantum Physics · Physics 2009-11-13 S. Castelletto , I. P. Degiovanni , V. Schettini , A. Migdall