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We propose quantum circuits to test interferometric complementarity using symmetric two-way interferometers coupled to a which-path detector. First, we consider the two-qubit setup in which the controlled transfer of path information to the…

Quantum Physics · Physics 2021-09-29 Pedro M. Q. Cruz , J. Fernández-Rossier

In the event in which a quantum mechanical particle can pass from an initial state to a final state along two possible paths, the duality principle states that "the simultaneous observation of wave and particle behavior is prohibited". [M.…

A quantum system can behave as a wave or as a particle, depending on the experimental arrangement. When for example measuring a photon using a Mach-Zehnder interferometer, the photon acts as a wave if the second beam-splitter is inserted,…

We formulate a general theory of wave-particle duality for many-body quantum states, which quantifies how wave- and particle-like properties balance each other. Much as in the well-understood single-particle case, which-way information --…

Quantum Physics · Physics 2021-09-01 Christoph Dittel , Gabriel Dufour , Gregor Weihs , Andreas Buchleitner

The quantum "mystery which cannot go away" (in Feynman's words) of wave-particle duality is illustrated in a striking way by Wheeler's delayed-choice GedankenExperiment. In this experiment, the configuration of a two-path interferometer is…

Many paradoxes of quantum mechanics come from the fact that a quantum system can possess different features at the same time, such as in wave-particle duality or quantum superposition. In recent delayed-choice experiments, a quantum…

Quantum Physics · Physics 2013-10-01 Youn-Chang Jeong , Carlo Di Franco , Hyang-Tag Lim , M. S. Kim , Yoon-Ho Kim

The wave-particle duality dates back to Einstein's explanation of the photoelectric effect through quanta of light and de Broglie's hypothesis of matter waves. Quantum mechanics uses an abstract description for the behavior of physical…

Quantum Physics · Physics 2016-05-25 Xiao-song Ma , Johannes Kofler , Anton Zeilinger

Light's wave-particle duality is at the heart of quantum mechanics and can be well illustrated by Wheeler's delayed-choice experiment. The choice of inserting or removing the second classical (quantum) beam splitter in a Mach-Zehnder…

Quantum Physics · Physics 2015-05-06 H. Yan , K. Liao , Z. Deng , J. He , Z. Y. Xue , Z. M. Zhang , S. L. Zhu

A recent experiment performed by S. S. Afshar et al. has been interpreted as a violation of Bohr's complementarity principle between interference visibility and which-path information in a two-path interferometer. We have reproduced this…

Quantum Physics · Physics 2009-11-13 V. Jacques , N. D. Lai , A. Dreau , D. Zheng , D. Chauvat , F. Treussart , P. Grangier , J-F Roch

We propose a method called `coherence swapping' which enables us to create superposition of a particle in two distinct paths, which is fed with initially incoherent, independent radiations. This phenomenon is also present for the charged…

Quantum Physics · Physics 2009-11-07 Arun K. Pati , Marek Zukowski

Wave--particle duality is a cornerstone of quantum mechanics, traditionally formulated under definite causal order. We investigate how complementarity is modified when the temporal order of operations is coherently superposed, as in the…

Quantum Physics · Physics 2026-03-31 Mohd Asad Siddiqui , Md Qutubuddin , Tabish Qureshi

We show that quantum walks interpolate between a coherent `wave walk' and a random walk depending on how strongly the walker's coin state is measured; i.e., the quantum walk exhibits the quintessentially quantum property of complementarity,…

Quantum Physics · Physics 2009-11-10 Viv Kendon , Barry C. Sanders

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

Bohr's principle of complementarity predicts that in a welcher weg ("which-way") experiment, obtaining fully visible interference pattern should lead to the destruction of the path knowledge. Here I report a failure for this prediction in…

Quantum Physics · Physics 2007-05-23 Shahriar S. Afshar

Wave-particle duality has become one of the flagships of quantum mechanics. This counter-intuitive concept is highlighted in a delayed choice experiment, where the experimental setup that reveals either the particle or wave nature of a…

Quantum Physics · Physics 2018-05-16 Rafael Chaves , Gabriela Barreto Lemos , Jacques Pienaar

Quantum coherence quantifies the amount of superposition in a quantum system, and is the reason and resource behind several phenomena and technologies. It depends on the natural basis in which the quantum state of the system is expressed,…

Quantum Physics · Physics 2021-08-13 Ingita Banerjee , Kornikar Sen , Chirag Srivastava , Ujjwal Sen

Wheeler's delayed choice experiment, a well known manifestation of the complementarity principle, has proved somewhat difficult to physically interpret. We show that, restated in quantum field theoretic language, the experiment submits to a…

Quantum Physics · Physics 2007-05-23 R. Srikanth

Wheeler's delayed-choice experiment delays the decision to observe either the wave or particle behavior of a photon until after it has entered the interferometer, and the quantum delayed-choice experiment provides the possibility of…

Quantum Physics · Physics 2021-08-25 Qi Guo , Wen-Jie Zhang , Gang Li , Tiancai Zhang , Hong-Fu Wang , Shou Zhang

We present an architecture to investigate wave-particle duality in $N$-path interferometers on a universal quantum computer involving as low as $2\log N$ qubits and develop a measurement scheme which allows the efficient extraction of…

Quantum Physics · Physics 2020-09-10 Mirko Amico , Christoph Dittel

The assertion that an experiment by Afshar et al. demonstrates violation of Bohr's Principle of Complementarity is based on the faulty assumption that which-way information in a double-slit interference experiment can be retroactively…

Quantum Physics · Physics 2020-09-22 Andrew Knight