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We propose and study a weak value (WV) protocol in the context of a solid state setup, specifically, an electronic Mach-Zehnder interferometer. This is the first specific proposal to measure both the real and imaginary part (i.e., complete…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Vadim Shpitalnik , Yuval Gefen , Alessandro Romito

Incompatible observables underlie pillars of quantum physics such as contextuality and entanglement. The Heisenberg uncertainty principle is a fundamental limitation on the measurement of the product of incompatible observables, a `joint'…

Heisenberg uncertainty relation in quantum mechanics sets the limit on the measurement precision of non-commuting observables, which prevents us from measuring them accurately at the same time. In some applications, however, the information…

Quantum Physics · Physics 2018-11-06 Yuhong Liu , Jiamin Li , Liang Cui , Nan Huo , Syed M Assad , Xiaoying Li , Z. Y. Ou

The fundamental principles of complementarity and uncertainty are shown to be related to the possibility of joint unsharp measurements of pairs of noncommuting quantum observables. A new joint measurement scheme for complementary…

Quantum Physics · Physics 2009-11-07 P. Busch , C. R. Shilladay

Incompatible observables can be approximated by compatible observables in joint measurement or measured sequentially, with constrained accuracy as implied by Heisenberg's original formulation of the uncertainty principle. Recently, Busch,…

In this study, we present a novel method for measuring the magnetic susceptibility of liquids using a Mach-Zehnder interferometer. The proposed technique employs a ring magnet to deform the liquid, while a laser beam passes through the…

Applied Physics · Physics 2023-05-10 David Shulman

Photons in a two-path interferometer best embody wave-particle duality (WPD), which is a core concept of quantum theory. So far, the WPD relation is commonly written as $V^2+D^2 \leq 1$, where $V$ is the interference fringe visibility and…

Quantum Physics · Physics 2026-05-26 Naofumi Abe , Keiichi Edamatsu

Wave-particle duality is a typical example of Bohr's complementarity principle that plays a significant role in quantum mechanics. Previous studies used the visibility of an interference pattern to quantify the wave property and used path…

Quantum Physics · Physics 2018-03-14 Yuan Yuan , Zhibo Hou , Yuan-Yuan Zhao , Han-Sen Zhong , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

We propose a possible setup of testing the Bell's inequality in mesoscopic conductors. The particular implementation uses two coupled electronic Mach-Zehnder interferometers in which electrons are injected into the conductors in the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kicheon Kang , Kahng Ho Lee

The four Rindler quadrants of a pair of oppositely accelerated frames are identified as a (Lorentzian) Mach-Zehnder interferometer. The Rindler frequency dependence of the interference process is expressed by means of a (Lorentzian)…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ulrich H. Gerlach

The Cram\'er-Rao bound and the quantum Fisher information have been tools used extensively for interferometric phase sensitivity. Most scenarios considering a Mach-Zehnder interferometer with two input sources focused on the phase-matched…

Quantum Physics · Physics 2019-05-08 Anca Preda , Stefan Ataman

Double-slit electron interferometers, fabricated in high mobility two-dimensional electron gas (2DEG), proved to be very powerful tools in studying coherent wave-like phenomena in mesoscopic systems. However, they suffer from small fringe…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yang Ji , Yunchul Chung , D. Sprinzak , M. Heiblum , D. Mahalu , Hadas Shtrikman

Quantum metrology utilizes entanglement for improving the sensitivity of measurements. Up to now the focus has been on the measurement of just one out of two non-commuting observables. Here we demonstrate a laser interferometer that…

Complementarity constitutes a central aspect of quantum theory. It manifests itself, for example, in a two-way interferometer, where the simultaneous observation of an interference pattern and the acquisition of which-way information are…

Quantum Physics · Physics 2025-10-21 Elisabeth Meusert , Uwe Schilling , Marc-Oliver Pleinert , Joachim von Zanthier

Complementarity lies at the heart of conceptual foundation of orthodox quantum mechanics. The wave-particle duality makes it impossible to tell which slit each particle passes through and still observe an interference pattern in a Young's…

Quantum Physics · Physics 2007-05-23 Zhi-Yuan Li

We propose a simple and realizable method using a two-particle interferometer for the experimental measurement of pairwise entanglement, assuming some prior knowledge about the quantum state. The basic idea is that the properties of the…

Quantum Physics · Physics 2007-05-23 Jian-Ming Cai , Zheng-Wei Zhou , Guang-Can Guo

We quantitatively investigate phase measurement in a Mach-Zehnder interferometer (MZI), which is injected with a weak coherent and a squeezed vacuum generated from a spontaneous parametric down-conversion. The measured three-photon…

Quantum Physics · Physics 2023-09-19 Lifeng Duan

Interferometric complementarity is known to be one of the most nonclassical manifestations of the quantum formalism. It is commonly known as wave-particle duality and has been studied presently from the perspective of quantum information…

Quantum Physics · Physics 2020-04-13 Gautam Sharma , Mohd Asad Siddiqui , Shiladitya Mal , Sk Sazim , Aditi Sen De

The existence of observables that are incompatible or not jointly measurable is a characteristic feature of quantum mechanics, which lies at the root of a number of nonclassical phenomena, such as uncertainty relations, wave--particle dual…

Quantum Physics · Physics 2015-11-17 Huangjun Zhu

We calculate quantum and classical Fisher informations for gravity sensors based on matterwave interference, and find that current Mach-Zehnder interferometry is not optimally extracting the full metrological potential of these sensors. We…

Quantum Physics · Physics 2018-08-29 Michail Kritsotakis , Stuart S. Szigeti , Jacob A. Dunningham , Simon A. Haine
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