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Phase precision in optimal 2-channel quantum interferometry is studied in the limit of large photon number $N\gg 1$, for losses occurring in either one or both channels. For losses in one channel an optimal state undergoes an intriguing…

Quantum Physics · Physics 2013-05-29 Sergey Knysh , Vadim N. Smelyanskiy , Gabriel A. Durkin

We study a Mach-Zehnder interferometer fed by a coherent state in one input port and vacuum in the other. We explore a Bayesian phase estimation strategy to demonstrate that it is possible to achieve the standard quantum limit independently…

Quantum Physics · Physics 2009-11-13 L. Pezze , A. Smerzi , G. Khoury , J. F. Hodelin , D. Bouwmeester

Phase measurement using a lossless Mach-Zehnder interferometer with certain entangled $N$-photon states can lead to a phase sensitivity of the order of 1/N, the Heisenberg limit. However, previously considered output measurement schemes are…

Quantum Physics · Physics 2009-11-13 Yang Gao , Hwang Lee

Quantum Fisher information (QFI) sets the ultimate precision of optical phase measurements and reveals multiphoton entanglement, but it is not accessible with conventional photodetection. We theoretically predict that a photodetector…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Evgenii Barts , Takahiro Morimoto , Naoto Nagaosa

We theoretically study the quantum Fisher information (QFI) of the SU(1,1) interferometer with phase shifts in two arms taking account of realistic noise effects. A generalized phase transform including the phase diffusion effect is…

Quantum Physics · Physics 2018-08-08 Xiu-Ling Hu , Dong Li , L. Q. Chen , Keye Zhang , Weiping Zhang , Chun-Hua Yuan

Scattershot photon sources are known to have useful properties for optical quantum computing and boson sampling purposes, in particular for scaling to large numbers of photons. This paper investigates the application of these scattershot…

Quantum Physics · Physics 2021-09-22 Joshua J. Guanzon , Austin P. Lund , Timothy C. Ralph

We investigate the simultaneous estimation of two optical phases in a three-mode interferometer assisted by optical parametric amplification (OPA). By employing the normally ordered characteristic-function formalism, we analytically obtain…

Quantum Physics · Physics 2026-03-20 Huan Zhang , Guofu Yin , Ying Xia , Xiuxing Zhang , Shoukang Chang , Wei Ye

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

A recently proposed phase-estimation protocol that is based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that Cram\'{e}r-Rao bound sensitivity can be obtained [P.\ M.\…

Quantum Physics · Physics 2013-09-10 Keith R. Motes , Petr M. Anisimov , Jonathan P. Dowling

We propose a high-precision phase estimation scheme in a hybrid interferometer by synergistically combining a Kerr nonlinear phase shifter and multi-photon subtraction operations. Using a coherent state and a vacuum state as input…

Quantum Physics · Physics 2026-05-21 Lifen Guo , Qingqian Kang , Zekun Zhao , Jifeng Sun , Teng Zhao , Cunjin Liu , Xin Su , Liyun Hu

Conditional Measurement scheme which employs linear optical elements and photon detection is the fertile ground for nonclassical state generation. We consider a simple setup that requires a coherent state and a number state as inputs of the…

Quantum Physics · Physics 2024-12-30 Devibala Esakkimuthu , Basherrudin Mahmud Ahmed A

We provide the optimal measurement strategy for a class of noisy channels that reduce to the identity channel for a specific value of a parameter (spreading channels). We provide an example that is physically relevant: the estimation of the…

Quantum Physics · Physics 2022-12-21 Wojciech Górecki , Alberto Riccardi , Lorenzo Maccone

The sensitivity in optical interferometry is strongly affected by losses during the signal propagation or at the detection stage. The optimal quantum states of the probing signals in the presence of loss were recently found. However, in…

The quantum stochastic phase estimation has many applications in the precise measurement of various physical parameters. Similar to the estimation of a constant phase, there is a standard quantum limit for stochastic phase estimation, which…

Quantum Physics · Physics 2020-10-02 Kaimin Zheng , Minghao Mi , Ben Wang , Liyun Hu , Shengshuai Liu , Yanbo Lou , Jietai Jing , Lijian Zhang

Coherent ensembles of $N$ qubits present an advantage in quantum phase estimation over separable mixtures, but coherence decay due to classical phase diffusion reduces overall precision. In some contexts, the strength of diffusion may be…

Quantum Physics · Physics 2013-07-02 Sergey I. Knysh , Gabriel A. Durkin

The hybrid interferometer integrating an optical parametric amplifier and a beam splitter has the potential to outperform the SU(1,1) interferometer. However, photon loss remains a critical limitation for practical implementation. To…

Quantum Physics · Physics 2025-10-21 Qisi Zhou , Tao Jiang , Qingqian Kang , Teng Zhao , Xin Su , Cunjin Liu , Liyun Hu

It is demonstrated a two-photon interfering technique based on polarization-resolved measurements for the simultaneous estimation with the maximum sensitivity achievable in nature of multiple parameters associated with the polarization…

Quantum Physics · Physics 2025-02-11 L. Maggio , D. Triggiani , P. Facchi , V. Tamma

In order to efficiently image a non-absorbing sample (a phase object), dedicated phase contrast optics are required. Typically, these optics are designed with the assumption that the sample is weakly scattering, implying a linear relation…

Optics · Physics 2020-10-22 Stewart Koppell , Mark Kasevich

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

When estimating the phase of a single mode, the quantum Fisher information for a pure probe state is proportional to the photon number variance of the probe state. In this work, we point out particular states that offer photon number…

Quantum Physics · Physics 2019-12-20 Changhyoup Lee , Changhun Oh , Hyunseok Jeong , Carsten Rockstuhl , Su-Yong Lee