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Quantum phase estimation is an important component in diverse quantum algorithms. However, it suffers from spectral leakage, when the reciprocal of the record length is not an integer multiple of the unknown phase, which incurs an accuracy…

Quantum Physics · Physics 2022-05-17 Yifeng Xiong , Soon Xin Ng , Gui-Lu Long , Lajos Hanzo

To improve the phase sensitivity, multi-photon subtraction schemes within the SU(1,1) interferometer are proposed. The input states are the coherent state and the vacuum state, and the detection method is homodyne detection. The effects of…

Quantum Physics · Physics 2023-11-27 Q. Q. Kang , Z. K. Zhao , Y. K. Xu , T. Zhao , C. J. Liu , L. Y. Hu

In the last years, several works have demonstrated the advantage of photon subtracted Gaussian states for various quantum optics and information protocols. In most of these works, it was not clearly investigated the relation between the…

Quantum Physics · Physics 2021-03-02 Nigam Samantaray , Ivano Ruo Berchera , Ivo. P. Degiovanni

We propose a generalized form of entangled coherent states (ECS) and apply them in a multi-arm optical interferometer to estimate multiple phase shifts. We obtain the quantum Cramer-Rao bounds for both the linear and nonlinear…

Quantum Physics · Physics 2016-02-04 Jing Liu , Xiao-Ming Lu , Zhe Sun , Xiaoguang Wang

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

We present a new proof of the quantum Cramer-Rao bound for precision parameter estimation [1-3] and extend it to a more general class of measurement procedures. We analyze a generalized framework for parameter estimation that covers most…

Quantum Physics · Physics 2010-01-28 Garry Goldstein , Mikhail D. Lukin , Paola Cappellaro

We optimize the signal-to-noise ratio of a Mach-Zehnder atom interferometer with Gaussian squeezed input states, in the presence interactions. For weak interactions, our results coincide with Phys. Rev. Lett. {\bf 100}, 250406 (2008), with…

Quantum Gases · Physics 2015-05-19 Igor Tikhonenkov , Michael G. Moore , Amichay Vardi

Sensitivity limits are usually determined using the Cram\'er-Rao bound. Recently this approach has been used to obtain the ultimate resolution limit for the estimation of the separation between two incoherent point sources. However, methods…

Quantum Physics · Physics 2021-09-22 Giacomo Sorelli , Manuel Gessner , Mattia Walschaers , Nicolas Treps

We study the multiparameter sensitivity bounds of a sensor made by an array of $d$ spatially-distributed Mach-Zehnder interferometers (MZIs). A generic single non-classical state is mixed with $d-1$ vacuums to create a $d$-modes entangled…

Quantum Physics · Physics 2024-05-29 Luca Pezzè , Augusto Smerzi

We study Fock state interferometry, consisting of a Mach-Zehnder Interferometer with two Fock state inputs and photon-number-resolved detection at the two outputs. We show that it allows discrimination of a discrete number of apriori-known…

Quantum Physics · Physics 2021-02-16 Reihaneh Shahrokhshahi , Saikat Guha , Olivier Pfister

This paper explores the sensitivity gains afforded by spin-squeezed states in atom interferometry, in particular using Bragg diffraction. We introduce a generalised input-output formalism that accurately describes realistic, non-unitary…

Quantum Physics · Physics 2026-05-29 Julian Günther , Jan-Niclas Kirsten-Siemß , Naceur Gaaloul , Klemens Hammerer

We study the application of squeezed states in a quantum optical scheme for direct sampling of the phase space by photon counting. We prove that the detection setup with a squeezed coherent probe field is equivalent to the probing of the…

Optics · Physics 2015-06-26 Konrad Banaszek , Krzysztof Wodkiewicz

-In this paper, we study Bayesian and hybrid Cramer-Rao bounds for the dynamical phase estimation of QAM modulated signals. We present the analytical expressions for the various CRBs. This avoids the calculation of any matrix inversion and…

Information Theory · Computer Science 2015-12-01 Jianxiao Yang , Benoit Geller , A Wei

We consider estimation of a single unknown parameter embedded in a quantum state. Quantum Cram\'er-Rao bound (QCRB) is the ultimate limit of the mean squared error for any unbiased estimator. While it can be achieved asymptotically for a…

Quantum Physics · Physics 2026-05-06 Zihao Gong , Boulat A. Bash

Context: Ground-based telescopes are susceptible to seeing, an atmospheric phenomenon that reduces the resolving power of large observatories to that of a home telescope. Compensating these effects is therefore critical to realizing the…

Instrumentation and Methods for Astrophysics · Physics 2025-11-11 Jacob Trzaska , Amit Ashok

We investigate the prospects of using two-mode intensity squeezed twin-beams, generated in Rb vapor, to improve the sensitivity of spectroscopic measurements by engaging two-photon Raman transitions. As a proof of principle demonstration,…

Atomic Physics · Physics 2021-04-21 Nikunjkumar Prajapati , Ziqi Niu , Irina Novikova

We obtain the multiple-parameter quantum Cram\'er-Rao bound for estimating the transverse Cartesian components of the centroid and separation of two incoherent optical point sources using an imaging system with finite spatial bandwidth.…

Quantum Physics · Physics 2017-07-05 Shan Zheng Ang , Ranjith Nair , Mankei Tsang

In this work, we discuss two phase-measurement methods for the Mach-Zehnder interferometer (MZI) in the presence of internal losses and give the corresponding optimum conditions. We find theoretically that when the core parameters…

Optics · Physics 2023-02-23 Wenfeng Huang , Xinyun Liang , Chun-Hua Yuan , Weiping Zhang , Liqing Chen

Only with the simultaneous estimation of multiple parameters are the quantum aspects of metrology fully revealed. This is due to the incompatibility of observables. The fundamental bound for multi-parameter quantum estimation is the Holevo…

Quantum Physics · Physics 2019-11-20 Francesco Albarelli , Jamie F. Friel , Animesh Datta

We present a method of directly obtaining the parity of a Gaussian state of light without recourse to photon-number counting. The scheme uses only a simple balanced homodyne technique, and intensity correlation. Thus interferometric schemes…

Quantum Physics · Physics 2015-05-19 William N. Plick , Petr M. Anisimov , Jonathan P. Dowling , Hwang Lee , Girish S. Agarwal
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