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Quantum interference lies at the heart of several quantum computational speed-ups and provides a striking example of a phenomenon with no classical counterpart. An intriguing feature of quantum interference arises in a three slit…

Quantum Physics · Physics 2017-01-27 Ciarán M. Lee , John H. Selby

Canonical quantum formalism predicts that the interference pattern registered in multi-slit experiments should be a simple combination of patterns observed in two-slit experiments. This has been linked to the validity of Born's rule and…

Quantum Physics · Physics 2020-05-27 Kai Sheng Lee , Zhao Zhuo , Christophe Couteau , David Wilkowski , Tomasz Paterek

We start to develop the quantization formalism in a hyperbolic Hilbert space. Generalizing Born's probability interpretation, we found that unitary transformations in such a Hilbert space represent a new class of transformations of…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

We introduce an interference measure which allows to quantify the amount of interference present in any physical process that maps an initial density matrix to a final density matrix. In particular, the interference measure enables one to…

Quantum Physics · Physics 2010-06-23 Daniel Braun , Bertrand Georgeot

We report an experiment of observation of classical double-slit interference fringes of two-photon interference. In the experiment, a commercial continuous-wave multi-mode F-P laser diode without either mode-locked or frequency-locked is…

Quantum Physics · Physics 2024-02-26 Hongmin Liu

We compare the classical Kolmogorov and quantum probability models. We show that the gap between these model is not so huge as it was commonly believed. The main structures of quantum theory (interference of probabilities, Born's rule,…

Probability · Mathematics 2007-05-23 Andrei Khrennikov

Quantum path interferences occur whenever multiple equivalent and coherent transitions result in a common final state. Such interferences strongly modify the probability of a particle to be found in that final state, a key concept of…

Interference results when a quantum particle is free to choose among a few indistinguishable paths. A canonical example of Bohr's complementarity principle [1] is a two-path interferometer with an external detector coupled to one of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Sprinzak , E. Buks , M. Heiblum , H. Shtrikman

Essential for building quantum networks over remote independent nodes, the indistinguishability of photons has been extensively studied by observing the coincidence dip in the Hong-Ou-Mandel interferometer. However, indistinguishability is…

Quantum interference between identical single particles reveals the intrinsic quantum statistic nature of particles, which could not be interpreted through classical physics. Here, we demonstrate quantum interference between non-identical…

Quantum Physics · Physics 2023-08-25 Keyu Su , Yi Zhong , Shanchao Zhang , Jianfeng Li , Chang-Ling Zou , Yunfei Wang , Hui Yan , Shi-Liang Zhu

Wave-particle duality in multi-path interference is fraught with issues despite substantial progress in recent years. It was experimentally shown that in certain specific conditions, getting path information in a multi-path experiment can…

Quantum Physics · Physics 2019-10-11 Tabish Qureshi

Non-classical interference of photons lies at the heart of optical quantum information processing. This effect is exploited in universal quantum gates as well as in purpose-built quantum computers that solve the BosonSampling problem.…

Multiparticle quantum interference is critical for our understanding and exploitation of quantum information, and for fundamental tests of quantum mechanics. A remarkable example of multi-partite correlations is exhibited by the…

Photonic interference is a key quantum resource for optical quantum computation, and in particular for so-called boson sampling machines. In interferometers with certain symmetries, genuine multiphoton quantum interference effectively…

In this paper, we study decoherence in Grover's quantum search algorithm using a perturbative method. We assume that each two-state system (qubit) that belongs to a register suffers a phase flip error (\sigma_{z} error) with probability p…

Quantum Physics · Physics 2011-01-21 Hiroo Azuma

Interference between different photons occurs and has been observed under diverse experimental conditions. A necessary condition in order to obtain interference fringes is the existence of at least two possible paths and unknown which-path…

Quantum Physics · Physics 2020-07-31 M. Fernandez-Guasti , C. García-Guerrero

The second-order temporal interference of classical and nonclassical light at an asymmetrical beam splitter is discussed based on two-photon interference in Feynman's path integral theory. The visibility of the second-order interference…

Quantum Physics · Physics 2017-03-01 Jianbin Liu , Jingjing Wang , Zhuo Xu

Modern experiments using nanoscale devices come ever closer to bridging the divide between the quantum and classical realms, bringing experimental tests of objective collapse theories that propose alterations to Schr\"{o}dinger's equation…

Correlated interference is calculated for a microscopic particle retro-reflecting from two spatially separated scatterers that are free to move, all three of which are treated as quantum bodies: the positions of the particle traversing this…

Quantum Physics · Physics 2024-08-15 F. V. Kowalski

We analyze a single-particle Mach-Zehnder interferometer experiment in which the path length of one arm may change (randomly or systematically) according to the value of an external two-valued variable $x$, for each passage of a particle…

Quantum Physics · Physics 2011-12-13 K. Michielsen , Th. Lippert , M. Richter , B. Barbara , S. Miyashita , H. De Raedt