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Wave-particle duality and entanglement are two fundamental characteristics of quantum mechanics. All previous works on experimental investigations in wave{particle properties of single photons (or single particles in general) show that a…

Quantum Physics · Physics 2023-03-27 Kai Wang , Daniel R. Terno , Caslav Brukner , Shining Zhu , Xiao-Song Ma

Semigroup algebras admit certain `coherent' deformations which, in the special case of a path algebra, may associate a periodic function to an evolving path; for a particle moving freely on a straight line after an initial impulse, the wave…

Rings and Algebras · Mathematics 2016-12-21 Murray Gerstenhaber

One of the milestones of quantum mechanics is Bohr's complementarity principle. It states that a single quantum can exhibit a particle-like \emph{or} a wave-like behaviour, but never both at the same time. These are mutually exclusive and…

Quantum Physics · Physics 2015-06-03 R. Auccaise , R. M. Serra , J. G. Filgueiras , R. S. Sarthour , I. S. Oliveira , L. C. Céleri

Variance is a ubiquitous quantity in quantum information theory. Given a basis, we consider the averaged variances of a fixed diagonal observable in a pure state under all possible permutations on the components of the pure state and call…

Quantum Physics · Physics 2022-07-14 Ming-Jing Zhao , Lin Zhang , Shao-Ming Fei

Interferometers capture a basic mystery of quantum mechanics: a single particle can exhibit wave behavior, yet that wave behavior disappears when one tries to determine the particle's path inside the interferometer. This idea has been…

Quantum Physics · Physics 2014-12-23 Patrick J. Coles , Jędrzej Kaniewski , Stephanie Wehner

Quantum mechanics gives a new breakthrough to the field of parameter estimation. In the realm of quantum metrology, the precision of parameter estimation is limited by the quantum Fisher information. We introduce the measures of partial…

Quantum Physics · Physics 2024-11-14 Dong-Ping Xuan , Zhong-Xi Shen , Wen Zhou , Hua Nan , Shao-Ming Fei , Zhi-Xi Wang

Three notions of complementarity - operational, probabilistic, and value complementarity - are reanalysed with respect to the question of joint measurements and compared with reference to some examples of canonically conjugate observables.…

Quantum Physics · Physics 2011-01-04 P. Busch , P. J. Lahti

In an asymmetric multislit interference experiment, a quanton is more likely to pass through certain slits than some others. In such a situation one may be able to predict which slit a quanton is more likely to go through, even without…

Quantum Physics · Physics 2019-07-16 Prabuddha Roy , Tabish Qureshi

One of the main problems in any quantum resource theory is the characterization of the conversions between resources by means of the free operations of the theory. In this work, we advance on this characterization within the quantum…

Quantum Physics · Physics 2021-01-12 G. M. Bosyk , M. Losada , C. Massri , H. Freytes , G. Sergioli

Quantum coherence characterizes the non-classical feature of a single party system with respect to a local basis. Based on a recently introduced resource framework, coherence can be regarded as a resource and be systematically manipulated…

Quantum Physics · Physics 2018-09-26 Yunchao Liu , Qi Zhao , Xiao Yuan

Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. Here, we introduce methods for the quantification of resources in general probabilistic theories…

Quantum Physics · Physics 2021-03-19 Ludovico Lami , Bartosz Regula , Ryuji Takagi , Giovanni Ferrari

Quantum coherence is a fundamental feature of quantum mechanics and an underlying requirement for most quantum information tasks. In the resource theory of coherence, incoherent states are diagonal with respect to a fixed orthonormal basis,…

Quantum Physics · Physics 2019-09-18 Felix Bischof , Hermann Kampermann , Dagmar Bruß

Grangier, Roger and Aspect (GRA) performed a beam-splitter experiment to demonstrate the particle behaviour of light and a Mach-Zehnder interferometer experiment to demonstrate the wave behaviour of light. The distinguishing feature of…

Quantum Physics · Physics 2017-11-10 P. N. Kaloyerou

Quantum systems can display particle- or wave-like properties, depending on the type of measurement that is performed on them. The Bell-state quantum eraser is an experiment that brings the duality to the forefront, as a single measurement…

Quantum Physics · Physics 2017-01-11 Jennifer R. Glick , Christoph Adami

Standard quantum physics prevents the existence of a joint statistics for complementary observables. Nevertheless, a joint distribution for complementary observables can be derived from their imperfect simultaneous measurement followed by a…

Quantum Physics · Physics 2017-11-01 Irene Bartolomé , Alfredo Luis

We provide an operational reinterpretation of wave-particle complementarity in the low-gain Zou-Wang-Mandel (ZWM) induced-coherence interferometer. In the low gain limit, each photon pair is emitted by either one of two nonlinear crystals.…

Quantum Physics · Physics 2026-01-05 L. Theerthagiri

Wave-particle duality, intertwining two inherently contradictory properties of quantum systems, remains one of the most conceptually profound aspects of quantum mechanics. By using the concept of energy capacity, the ability of a quantum…

Quantum Physics · Physics 2025-06-11 Yan-Han Yang , Xin-Zhu Liu , Jun-Li Jiang , Hu Chen , Xue Yang , Xiao-Feng Qian , Shao-Ming Fei , Ming-Xing Luo

In the coming years, advanced gravitational wave detectors will observe signals from a large number of compact binary coalescences. The majority of these signals will be relatively weak, making the precision measurement of subtle effects,…

Instrumentation and Methods for Astrophysics · Physics 2019-07-03 Aaron Zimmerman , Carl-Johan Haster , Katerina Chatziioannou

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 degree of polarimetric purity is an invariant dimensionless quantity that characterizes the closeness of a polarization state of a wave to a pure state and is related to the Von Neumann entropy. The polarimetric purity of a plane wave…

Classical Physics · Physics 2022-02-22 Avik Bhattacharya , Subhadip Dey , Alejandro C. Frery