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The celebrated Hong-Ou-Mandel effect is the paradigm of two-particle quantum interference. It has its roots in the symmetry of identical quantum particles, as dictated by the Pauli principle. Two identical bosons impinging on a beam…

Quantum Physics · Physics 2021-01-01 Nicolas J. Cerf , Michael G. Jabbour

The Hong-Ou-Mandel effect is a paradigmatic quantum phenomenon demonstrating the interference of two indistinguishable photons that are linearly coupled at a 50:50 beam splitter. Here, we transpose such a two-particle quantum interference…

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…

The uncanny ability of multiple particles to interfere with one another is one of the core principles of quantum mechanics, and serves as foundation for quantum information processing. In particular, the interplay of constructive and…

Quantum Physics · Physics 2022-03-23 Max Ehrhardt , Matthias Heinrich , Alexander Szameit

Linear canonical transformations of bosonic modes correspond to Gaussian unitaries, which comprise passive linear-optical transformations as effected by a multiport passive interferometer and active Bogoliubov transformations as effected by…

Quantum Physics · Physics 2018-12-12 Levon Chakhmakhchyan , Nicolas J. Cerf

The two-photon Hong-Ou-Mandel (HOM) interference is a pure quantum effect which indicates the degree of indistinguishability of photons. The four-photon HOM interference exhibits richer dynamics in comparison to the two-photon interference…

Optics · Physics 2019-11-20 A. Ferreri , V. Ansari , C. Silberhorn , P. R. Sharapova

Two-photon interference is a fundamental quantum optics effect with numerous applications in quantum information science. Here, we study two-photon interference in multiple transverse-spatial modes along a single beam-path. Besides…

Quantum Physics · Physics 2021-03-31 Markus Hiekkamäki , Robert Fickler

We consider multimode two-photon interference at a beam splitter by photons created by spontaneous parametric down-conversion. The resulting interference pattern is shown to depend upon the transverse spatial symmetry of the pump beam. In…

Quantum Physics · Physics 2009-11-07 S. P. Walborn , A. N. de Oliveira , S. Pádua , C. H. Monken

The identification of phenomena able to pinpoint quantum interference is attracting large interest. Indeed, a generalization of the Hong-Ou-Mandel effect valid for any number of photons and optical modes would represent an important leap…

Two particle interference phenomena, such as the Hong-Ou-Mandel effect, are a direct manifestation of the nature of the symmetry properties of indistinguishable particles as described by quantum mechanics. The Hong-Ou-Mandel effect has…

Quantum Physics · Physics 2017-05-24 Nils Trautmann , Gergely Ferenczi , Sarah Croke , Stephen M. Barnett

The celebrated Hong--Ou--Mandel effect illustrates the richness of two-photon interferometry. In this work, we demonstrate that this extends to the realm of time-frequency interferometry. Taking advantage of the mathematical analogy which…

Quantum Physics · Physics 2025-03-03 Nicolas Fabre , Ulysse Chabaud

Superposition and indistinguishablility between probability amplitudes have played an essential role in observing quantum interference effects of correlated photons. The Hong-Ou-Mandel interference and interferences of the path-entangled…

Quantum Physics · Physics 2015-03-31 Heonoh Kim , Sang Min Lee , Han Seb Moon

Interference of two photons at a beamsplitter is at the core of many quantum photonic technologies, such as quantum key distribution or linear-optics quantum computing. Observing high-visibility interference is challenging because of the…

Two-photon interference, known as the Hong-Ou-Mandel effect, has colossal implications for quantum technology. It was observed in 1987 with two photodetectors monitoring outputs of the beamsplitter illuminated by photon pairs: the…

Quantum Physics · Physics 2025-12-10 Anton N. Vetlugin , Ruixiang Guo , Cesare Soci , Nikolay I. Zheludev

This Tutorial will introduce the mathematical framework for describing systems of identical particles, and explain the notion of indistinguishability. We will then focus our attention on dynamical systems of free particles and formally…

Quantum Physics · Physics 2020-02-19 Mattia Walschaers

Multi-photon interference results in modulations of output probabilities with phase shift periods that are much shorter than 2 Pi. Here, we investigate the physics behind these statistical patterns in the case of well-defined photon numbers…

Quantum Physics · Physics 2016-10-12 Holger F. Hofmann , Keito Hibino , Kazuya Fujiwara , Jun-Yi Wu

Multiparticle interference is a fundamental phenomenon in the study of quantum mechanics.It was discovered in a recent experiment [Ra, Y.-S. et al, Proc. Natl Acad. Sci. USA \textbf{110}, 1227(2013)] that spectrally uncorrelated biphotons…

Quantum Physics · Physics 2017-07-03 Rui-Bo Jin , Guo-Qun Chen , Hui Jing , Changliang Ren , Pei Zhao , Ryosuke Shimizu , Pei-Xiang Lu

This paper presents a quantum generalization of the multinomial distribution for the transition probabilities of $m$ identical photons in a $k$-port linear optical interferometer: two multinomial coefficients (one for the input…

Quantum Physics · Physics 2026-02-11 Alfonso Martinez , Josep Font-Segura

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

Photon statistics plays a governing role in multi-photon interference. While interference visibility in the standard two-photon case, known as Hong-Ou-Mandel interference, monotonically degrades with higher intensity correlation functions,…

Quantum Physics · Physics 2026-01-16 Rikizo Ikuta
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