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The issue of interference and which-way information is addressed in the context of 3-slit interference experiments. A new path distinguishability ${\mathcal D_Q}$ is introduced, based on Unambiguous Quantum State Discrimination (UQSD). An…

Quantum Physics · Physics 2015-08-28 Mohd Asad Siddiqui , Tabish Qureshi

The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wave-like and particle-like properties exhibited by microscopic particles. In this…

Quantum Physics · Physics 2024-11-13 Kang-Kang Yang , Zhi-Xi Wang , Shao-Ming Fei

It is proposed that the paradox of wave-particle duality in quantum mechanics may be resolved using a physical picture analogous to magnetic domains. Within this picture, a quantum particle represents a coherent region of a quantum wave…

Quantum Physics · Physics 2007-05-23 Alan M. Kadin

An interferometer - no matter how clever the design - cannot reveal both the wave and particle behavior of a quantum system. This fundamental idea has been captured by inequalities, so-called wave-particle duality relations (WPDRs), that…

Quantum Physics · Physics 2016-06-28 Patrick J. Coles

Wave-particle duality and complementarity principle stand at the conceptual core of quantum theory in its orthodox Copenhagen interpretation. They imply that the wave behavior and particle behavior of quantum objects are mutually exclusive…

Quantum Physics · Physics 2015-06-22 Zhi-Yuan Li

According to Bohr's principle of complementarity, a quanton can behave either as a wave or a particle, depending on the choice of the experimental setup. Some recent two-path interference experiments have devised methods where one can have…

Quantum Physics · Physics 2021-02-23 Mohd Asad Siddiqui , Tabish Qureshi

Symmetry plays a central role in many areas of modern physics. Here we show that it also underpins the dual particle and wave nature of quantum systems. We begin by noting that a classical point particle breaks translational symmetry…

Quantum Physics · Physics 2012-03-21 Joan A. Vaccaro

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

Wave--particle duality demonstrates the peculiar nature of quantum mechanics. In which-way experiments, depending on the measurement scheme, a particle exhibits either wave-like or particle-like properties, as summarized by Bohr's principle…

Quantum Physics · Physics 2026-04-22 Shiyu Wang , Zhiguang Yan , Clemens Gneiting , Rui Li , Franco Nori , Yasunobu Nakamura

For any ideal two-path interferometer it is shown that the wave-particle duality of quantum mechanics implies Heisenberg's uncertainty relation and vice versa. It is conjectured that complementarity and uncertainty are two aspects of the…

Quantum Physics · Physics 2007-05-23 Ole Steuernagel

We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum…

Quantum Physics · Physics 2007-05-23 Matthias Jakob , Janos A. Bergou

Wave-particle duality and the superposition of quantum mechanical states furnish quantum mechanics with unique features which distinguishes it from classical mechanics and give it the apparently counter-intuition interpretation. The two…

Quantum Physics · Physics 2020-06-15 Abanoub Mikhail

We give operational meaning to wave-particle duality in terms of discrimination games. Duality arises as a constraint on the probability of winning these games. The games are played with the aid of an n-port interferometer, and involve 3…

Quantum Physics · Physics 2018-02-07 Emilio Bagan , John Calsamiglia , Janos A. Bergou , Mark Hillery

Quantum mechanical wave-particle duality is quantified in terms of a trade-off relation between the fringe visibility and the which-way distinguishability in an interference experiment. This relation is recently generalized by Banaszek et.…

Quantum Physics · Physics 2014-06-20 J. Prabhu Tej , A. R. Usha Devi , H. S. Karthik , Sudha , A. K. Rajagopal

We derive upper bounds for Hilbert-Schmidt's quantum coherence of general states of a $d$-level quantum system, a qudit, in terms of its incoherent uncertainty, with the latter quantified using the linear and von Neumann's entropies of the…

Quantum Physics · Physics 2020-07-22 Marcos L. W. Basso , Diego S. S. Chrysosthemos , Jonas Maziero

Common sense suggests that a particle must have a definite origin if its full path information is available. In quantum mechanics, the knowledge of path information is captured through the well-established duality relation between path…

Quantum Physics · Physics 2026-04-14 Xinhe Jiang , Armin Hochrainer , Jaroslav Kysela , Manuel Erhard , Xuemei Gu , Ya Yu , Anton Zeilinger

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 investigate the relationships among the wave property, particle property and mixedness of quantum states based on the lp-norm coherence. By conforming that the lp-norm coherence is an appropriate measure of wave property and introducing…

Quantum Physics · Physics 2025-11-11 Wei-Ning Li , Ming Fang , Yuan-Hong Tao , Liu Sun , Shao-Ming Fei

Quantum theory reveals astonishing and counterintuitive phenomena not found in classical physics, such as wave-particle duality, where entities like electrons and photons exhibit both wave-like and particle-like behaviors. In this paper, we…

Quantum Physics · Physics 2024-07-03 Daegene Song

A two-body quantum correlation is calculated for a particle and an infinite potential well in which it is trapped or either a barrier or finite well over which it traverses. Correlated interference results when the incident and reflected…

Quantum Physics · Physics 2014-05-06 F. V. Kowalski , R. S. Browne