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Complementarity, the incomplete nature of a quantum measurement - a core concept in quantum mechanics - stems from the choice of the measurement apparatus. The notion of complementarity is closely related to Heisenberg's uncertainty…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 E. Weisz , H. K. Choi , I. Sivan , M. Heiblum , Y. Gefen , D. Mahalu , V. Umansky

We propose the notion of quantum coherence for superpositions over states which are not necessarily mutually orthogonal. This anticipatedly leads to a resource theory of non-orthogonal coherence. We characterize free states and free…

Bohr's principle of complementarity, prohibiting simultaneous access to certain physical properties within a single experimental arrangement, is considered to be a defining feature of quantum mechanics. It is commonly viewed as inducing an…

One of the most remarkable features of quantum physics is that attributes of quantum objects, such as the wave-like and particle-like behaviors of single photons, can be complementary in the sense that they are equally real but cannot be…

Quantum Physics · Physics 2024-03-05 Shan Huang , Wen-Bo Liu , Yundu Zhao , Hua-Lei Yin , Zeng-Bing Chen , Shengjun Wu

We propose a simple implementation scheme of quantum delayed-choice experiment in linear optical system without initial entanglement resource. By choosing different detecting devices, one can selectively observe the photon's different…

Quantum Physics · Physics 2014-06-24 Qi Guo , Liu-Yong Cheng , Hong-Fu Wang , Shou Zhang

Recently, the basic concept of quantum coherence (or superposition) has gained a lot of renewed attention, after Baumgratz et al. [PRL 113:140401 (2014)], following \AA{}berg [arXiv:quant-ph/0612146], have proposed a resource theoretic…

Quantum Physics · Physics 2017-08-01 Tanmoy Biswas , María García Díaz , Andreas Winter

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

The wave-particle duality, as one of the expressions of Bohr complementarity, is usually quantified by path predictability and the visibility of interference fringes. With the development of quantum resource theory, the quantitative…

Quantum Physics · Physics 2024-01-10 Y. T. Tsui , Sunho Kim

Within the established theoretical framework of quantum mechanics, interference always occurs between pairs of trajectories. Higher order interferences with multiple constituents are, however, excluded by Born's rule and can only exist in…

Quantum Physics · Physics 2017-03-29 Thomas Kauten , Robert Keil , Thomas Kaufmann , Benedikt Pressl , Časlav Brukner , Gregor Weihs

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

The complementarity relations impose the constraints on different aspects of quantum states. We study the complementarity relation within a multi-path interferometer that includes detectors and quantum memory. Here we consider the mixed…

Quantum Physics · Physics 2025-09-09 Yue Sun , Ming-Jing Zhao , Peng-Tong Li

Complementarity was originally introduced as a qualitative concept for the discussion of properties of quantum mechanical objects that are classically incompatible. More recently, complementarity has become a \emph{quantitative} relation…

Quantum Physics · Physics 2009-11-11 Xinhua Peng , Xiwen Zhu , Dieter Suter , Jiangfeng Du , Maili Liu , Kelin Gao

Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for "wave-particle duality" and in an extension of this duality even as support for "complementarity". We…

Quantum Physics · Physics 2022-03-17 Lukas Mairhofer , Oliver Passon

The hypothesis of quantum self-interference is not directly observable, but has at least three necessary implications. First, a quantum entity must have no less than two open paths. Second, the size of the interval between any two…

Quantum Physics · Physics 2009-11-10 Ghenadie N. Mardari

Quantum theory permits interference between indistinguishable paths but, at the same time, restricts its order. Single-particle interference, for instance, is limited to the second order, that is, to pairs of single-particle paths. To date,…

Quantum Physics · Physics 2021-05-13 Marc-Oliver Pleinert , Alfredo Rueda , Eric Lutz , Joachim von Zanthier

It is well known that in classical optics, the visibility of interference, in a two-beam light interference, is related to the optical coherence of the two beams. A wave-particle duality relation can be derived using this mutual coherence.…

Quantum Physics · Physics 2020-06-05 Bibhash Paul , Sammi Kamal , Tabish Qureshi

In a recent paper [Phys. Rev. {\bf A64}, 042113 (2001)] S. D\"urr proposed an interesting multibeam generalization of the quantitative formulation of interferometric wave-particle duality, discovered by Englert for two-beam interferometers.…

Quantum Physics · Physics 2009-11-10 G. Bimonte , R. Musto

Quantum interference takes center stage in the realm of quantum particles, playing a crucial role in revealing their wave-like nature and probabilistic behavior. It relies on the concept of superposition, where the probability amplitudes of…

Quantum Physics · Physics 2025-07-15 Sajad Ahmadi , Mohsen Akbari , Shahpoor Saeidian , Ali Motazedifard

In this paper we depict the high order quantum coherence of a boson system by using the multi-particle wave amplitude, whose norm square is just the high order correlation function. This multi-time amplitude can be shown to be a…

Quantum Physics · Physics 2013-05-29 D. L. Zhou , P. Zhang , C. P. Sun

Multimode two-particle systems show interference effects in one-particle detections when both particles have common modes. We explore the possibility of extending the usual concepts of distinguishability and visibility to these types of…

Quantum Physics · Physics 2007-05-23 P. Sancho
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