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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…

We study the problem of estimating the phase shift due to the general relativistic time dilation in the interference of photons using a non-linear Mach-Zender interferometer setup. By introducing two non-linear Kerr materials, one in the…

Quantum Physics · Physics 2017-10-11 Sebastian P. Kish , Timothy C. Ralph

We theoretically study the phase sensitivity of the SU(1,1) interferometer with a coherent light together with a squeezed vacuum input case using the method of homodyne. We find that the homodyne detection has better sensitivity than the…

Quantum Physics · Physics 2014-08-26 Dong Li , Chun-Hua Yuan , Z. Y. Ou , Weiping Zhang

The Mach-Zehnder interferometer is a fundamental tool for measuring phase shifts between two light paths, serving as a crucial prototype for achieving high-precision measurements in various scientific and technological applications. In this…

Quantum Physics · Physics 2025-09-29 Bing-Shu Hu , Xiao-Ming Lu

We find a phase matching condition for enhancement of sensitivity in a Mach-Zehnder interferometer illuminated by an arbitrary state in one input port and an odd(even) state in the other port. Under this condition, the Fisher information…

Quantum Physics · Physics 2013-10-17 Jing Liu , Xiaoxing Jing , Xiaoguang Wang

A Mach-Zender interferometer with a gaussian number-difference squeezed input state can exhibit sub-shot-noise phase resolution over a large phase-interval. We obtain the optimal level of squeezing for a given phase-interval…

Quantum Physics · Physics 2009-11-13 Y. P. Huang , M. G. Moore

In the lore of quantum metrology, one often hears (or reads) the following no-go theorem: If you put vacuum into one input port of a balanced Mach-Zehnder Interferometer, then no matter what you put into the other input port, and no matter…

The phase uncertainty of an unseeded nonlinear interferometer, where the output of one nonlinear crystal is transmitted to the input of a second crystal that analyzes it, is commonly said to be below the shot-noise level but highly…

Quantum Physics · Physics 2017-12-01 E. Giese , S. Lemieux , M. Manceau , R. Fickler , R. W. Boyd

We propose a multi-parameter quantum metrological protocol based on a Mach-Zehnder interferometer with a squeezed vacuum input state and an anti-squeezing operation at one of its output channels. A simple and intuitive geometrical picture…

Quantum Physics · Physics 2022-01-26 Dario Gatto , Paolo Facchi , Vincenzo Tamma

By considering matter wave bright solitons from weakly coupled Bose-Einstein condensates trapped in a double-well potential, we study the formation of macroscopic non-classical states, including Schr\"odinger-cat superposition states and…

Quantum Physics · Physics 2018-08-15 D. V. Tsarev , S. M. Arakelian , You-Lin Chuang , Ray-Kuang Lee , A. P. Alodjants

We investigate the dependence of the fidelity of a Mach-Zehnder quantum interferometer on the prior information about the phase, for Fock state input and for maximally entangled (N00N) state input. For no prior information, the fidelity for…

Quantum Physics · Physics 2007-05-23 Thomas B. Bahder , Paul A. Lopata

The simultaneous two-parameter estimation problem in single squeezed-light Mach-Zehnder interferometer with double-port homodyne detection is investigated in this work. The analytical form of the two-parameter quantum Cramer-Bao bound…

Quantum Physics · Physics 2024-02-19 Li-li Hou , Jian-Dong Zhang , Kai-Min Zheng , Shuai Wang

Based on the conventional Mach-Zehnder interferometer, we propose a metrological scheme to improve phase sensitivity. In this scheme, we use a coherent state and a squeezed vacuum state as input states, employ multi-photon-subtraction…

Quantum Physics · Physics 2025-05-08 Qisi Zhou , Qinqian Kang , Tao Jiang , Zekun Zhao , Teng Zhao , Cunjin Liu , Liyun Hu

We analytically investigate the sensitivity of Kerr nonlinear phase estimation in a Mach-Zehnder interferometer with two-mode squeezed vacuum states. We find that such a metrological scheme could access a sensitivity scaling over the Boixo…

Quantum Physics · Physics 2022-03-23 Yun-Feng Guo , Wei Zhong , Lan Zhou , Yu-Bo Sheng

The ultimate sensitivity of optical measurements is a key element of many recent works. Classically, it is mainly limited by the shot noise limit. However, a measurement setup that incorporates quantum mechanical principles can surpass the…

Quantum Physics · Physics 2013-11-13 L. Cohen , D. Istrati , L. Dovrat , H. S. Eisenberg

A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezed-vacuum state at the output of a Mach-Zehnder interferometer shows that the Cram\'{e}r-Rao sensitivity is sub-Heisenberg [Phys.\ Rev.\ Lett.\ {\bf104},…

Quantum Physics · Physics 2017-05-17 Zixin Huang , Keith R. Motes , Petr M. Anisimov , Jonathan P. Dowling , Dominic W. Berry

Over the past decade, several schemes for imaging and sensing based on nonlinear interferometers have been proposed and demonstrated experimentally. These interferometers exhibit two main advantages. First, they enable probing a sample at a…

We demonstrate that the interaction of loop and nonlinear Fano resonances results in a formation of hybrid resonant states in Mach-Zehnder type interferometers, providing with opportunities for an advanced phase manipulation. The nonlinear…

Optics · Physics 2015-03-20 Yi Xu , Andrey E. Miroshnichenko

The use of an interferometer to perform an ultra-precise parameter estimation under noisy conditions is a challenging task. Here we discuss nearly optimal measurement schemes for a well known,sensitive input state, squeezed vacuum and…

We report on a novel phase-locking technique for fiber-based Mach-Zehnder interferometers based on discrete single-photon detections, and demonstrate this in a setup. Our interferometer decodes relative-phase-encoded optical pulse pairs for…

Quantum Physics · Physics 2023-11-08 Bastian Hacker , Kevin Günthner , Conrad Rößler , Christoph Marquardt