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Related papers: Duality relation for a generalized interferometer

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We derive different relations quantifying duality in a generic two-way interferometer. These relations set different upper bounds to the visibility V of the fringes measured at the output port of the interferometer. A hierarchy of…

Quantum Physics · Physics 2007-06-28 Jesus Martinez-Linares

We investigate quantitatively the wave-particle duality in a general Mach-Zehnder interferometer setup with an asymmetric beam splitter. The asymmetric beam splitter introduces additional a priori which-path knowledge, which is different…

Quantum Physics · Physics 2015-06-04 Li Li , Nai-Le Liu , Sixia Yu

The Mach-Zehnder interferometric setup quantitatively characterizing the wave-particle duality implements in fact a joint measurement of two unsharp observables. We present a necessary and sufficient condition for such a pair of unsharp…

Quantum Physics · Physics 2009-05-12 Nai-Le Liu , Li Li , Sixia Yu , Zeng-Bing Chen

We study the fringe visibility and the distinguishability of a general Mach-Zehnder interferometer with an asymmetric beam splitter. Both the fringe visibility V and the distinguishability D are affected by the input state of the particle…

Quantum Physics · Physics 2019-03-27 Yanjun Liu , Jing Lu , Zhihui Peng , Lan Zhou , Dongning Zheng

Classical wisdom of wave-particle duality says that it is impossible to observe simultaneously the wave and particle nature of microscopic object. Mathematically the principle requests that the interference visibility V and which-path…

Quantum Physics · Physics 2022-04-05 Fenghua Qi , Zhiyuan Wang , Weiwang Xu , Xue-Wen Chen , Zhi-Yuan Li

For two-path interferometers, the which-path predictability $\mathcal{P}$ and the fringe visibility $\mathcal{V}$ are familiar quantities that are much used to talk about wave-particle duality in a quantitative way. We discuss several…

Quantum Physics · Physics 2011-03-15 Berthold-Georg Englert , Dagomir Kaszlikowski , Leong Chuan Kwek , Wei Hui Chee

We study the wave-particle duality in a general Mach-Zehnder interferometer with an asymmetric beam splitter from the viewpoint of quantum information theory. The correlations(including the classical correlation and the quantum correlation)…

Quantum Physics · Physics 2022-11-09 Yanjun Liu , Meiya Wang , Zhongcheng Xiang , Haibin Wu

Wave-particle duality of photons with losses in the Mach-Zehnder interferometer (MZI) is investigated experimentally and theoretically. The experiment is done with the standard MZI with the beam splitter or the beam merger being…

Quantum Physics · Physics 2014-02-10 Chen Yang , Aiai Jia , Xue Deng , Yuchi Zhang , Gang Li , Shiyao Zhu , Tiancai Zhang

We revisit, in the framework of Mach-Zehnder interferometry, the connection between the complementarity and uncertainty principles of quantum mechanics. Specifically, we show that, for a pair of suitably chosen observables, the trade-off…

Quantum Physics · Physics 2015-06-05 G. M. Bosyk , M. Portesi , F. Holik , A. Plastino

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 discuss complementarity and uncertainty in a gedanken Which-Way (Welcher-Weg) experiment in a Mach-Zehnder interferometer. Although a Welcher-Weg measurement can be performed with only a negligible amount of momentum change in the…

Quantum Physics · Physics 2007-05-23 D. Ludwin , Y. Ben-Aryeh , A. Mann

In terms of operator, the two complementary quantities, the predictability and visibility, are reinvestigated in a two-way interferometer. One Hermitian operator and one non-Hermitian operator (composed of two Hermitian operators) are…

Optics · Physics 2010-11-25 Jie-Hui Huang , Shi-Yao Zhu

We study both the wave-like behavior and particle-like behavior in a general Mach-Zehnder interferometer with its asymmetric beam splitter. A error-free measurement in the detector is used to extract the which-path information. The fringe…

Quantum Physics · Physics 2017-04-26 Yanjun Liu , Jing Lu , and Lan Zhou

We introduce a new observable for reading out a which-way detector in a Young-type interferometer whose eigenstates either contain full which-way information or none at all. We calculate the which-way knowledge K that can be retrieved from…

Quantum Physics · Physics 2015-05-27 Uwe Schilling , Joachim von Zanthier

The aim of this paper is to revisit the implications of complementarity when we inject into a Mach Zehnder interferometer particles with internal structure, prepared in special translational-internal entangled (TIE) states. This correlation…

Quantum Physics · Physics 2009-11-13 M. Kolar , T. Opatrny , N. Bar-Gill , N. Erez , G. Kurizki

We present an original statistical method to measure the visibility of interferences in an electronic Mach-Zehnder interferometer in the presence of low frequency fluctuations. The visibility presents a single side lobe structure shown to…

Mesoscale and Nanoscale Physics · Physics 2008-03-17 Preden Roulleau , F. Portier , D. C. Glattli , P. Roche , A. Cavanna , G. Gaini , U. Gennser , D. Mailly

We consider a subgroup of unitary transformations on a mode of light induced by a Mach-Zehnder Interferometer and an algebra of observables describing a photon-number detector proceeded by an interferometer. We explore the uncertainty…

Quantum Physics · Physics 2022-01-28 Madhura Ghosh Dastidar , Gniewomir Sarbicki

When a photon is detected after passing through an interferometer one might wonder which path it took, and a meaningful answer can only be given if one has the means of monitoring the photon's whereabouts. We report the realization of a…

Quantum Physics · Physics 2018-08-09 Yink Loong Len , Jibo Dai , Berthold-Georg Englert , Leonid A. Krivitsky

The purpose of this paper is to discuss the existence of a nontrivial tradeoff relation for estimating two unitary-shift parameters in a relativistic spin-1/2 system. It is shown that any moving observer cannot estimate two parameters…

Quantum Physics · Physics 2023-12-06 Shin Funada , Jun Suzuki

Linear-optical interferometers play a key role in designing circuits for quantum information processing and quantum communications. Even though nested Mach-Zehnder interferometers appear easy to describe, there are occasions when they…

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