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Computing the state of a quantum mechanical many-body system composed of indistinguishable particles distributed over a multitude of modes is one of the paradigmatic test cases of computational complexity theory: Beyond well-understood…

The operational formalism to quantum mechanics seeks to base the theory on a firm foundation of physically well-motivated axioms [1]. It has succeeded in deriving the Feynman rules [2] for general quantum systems. Additional elaborations…

Quantum Physics · Physics 2015-06-23 Klil H. Neori , Philip Goyal

Quantum walk represents one of the most promising resources for the simulation of physical quantum systems, and has also emerged as an alternative to the standard circuit model for quantum computing. Up to now the experimental…

We investigate quantum superposition effects in two-dimensional quantum walks of identical particles with different statistics under particle exchange, starting from various different initial configurations. To characterize interparticle…

Quantum Physics · Physics 2025-05-12 Gonzalo Camacho , Jasmin Meinecke , Janik Wolters

Experimental demonstrations of entangled quantum images produced through parametric downconversion have so far been confined to studying two photon correlations. Here we show that multiphoton correlations between quantum images are…

Quantum Physics · Physics 2023-07-26 Serge Massar , Fabrice Devaux , Eric Lantz

Quantum entanglement of identical particles is essential in quantum information theory. Yet, its correct determination remains an open issue hindering the general understanding and exploitation of many-particle systems. Operator-based…

Quantum Physics · Physics 2016-03-08 Rosario Lo Franco , Giuseppe Compagno

We study quantum walks of many non-interacting particles on a beam splitter array, as a paradigmatic testing ground for the competition of single- and many-particle interference in a multi-mode system. We derive a general expression for…

Quantum Physics · Physics 2011-06-08 Klaus Mayer , Malte C. Tichy , Florian Mintert , Thomas Konrad , Andreas Buchleitner

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 P. Glidic , I. Petkovic , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , C. Mora , D. Kovrizhin , A. Anthore , F. Pierre

Quantum mechanics broadly classifies the particles into two categories: $(1)$ fermions and $(2)$ bosons. Fermions are half-integer spin particles, obeying Pauli's exclusion principle and Fermi-Dirac statistics. Whereas bosons are integer…

Statistical Mechanics · Physics 2025-09-03 Nupoor Thakur , Navinder Singh

In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these "anyons" have been detected in two-dimensional quasiparticle excitations of the fractional…

Statistical Mechanics · Physics 2021-11-15 Nathan M. Myers , Sebastian Deffner

Quantum walks have been employed widely to develop new tools for quantum information processing recently. A natural quantum walk dynamics of interacting particles can be used to implement efficiently the universal quantum computation. In…

Quantum Physics · Physics 2016-10-04 Alexey A. Melnikov , Leonid E. Fedichkin

We study a 2+1 dimensional theory of bosons and fermions with an omega ~ k^2 dispersion relation. The most general interactions consistent with specific symmetries impart fractional statistics to the fermions. Unlike examples involving…

High Energy Physics - Theory · Physics 2012-06-01 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Emanuel Katz , Jay G. Wacker

Quantum entanglement is a captivating phenomenon in quantum physics, characterized by intricate and non-classical correlations between particles. This phenomenon plays a crucial role in quantum computing and measurement processes. In this…

Physics Education · Physics 2025-09-04 Salomo Cedric Karst , Jürgen Henk

Identical particles exhibit correlations even in the absence of inter-particle interaction, due to the exchange (anti)symmetry of the many-particle wavefunction. Two fermions obey the Pauli principle and anti-bunch, whereas two bosons favor…

Quantum Physics · Physics 2012-09-13 Malte C. Tichy , Markus Tiersch , Florian Mintert , Andreas Buchleitner

A simple probabilistic cellular automaton is shown to be equivalent to a relativistic fermionic quantum field theory with interactions. Occupation numbers for fermions are classical bits or Ising spins. The automaton acts deterministically…

Quantum Physics · Physics 2022-01-12 Christof Wetterich

Particle statistics impose fundamental constraints on nonequilibrium quantum dynamics, yet it remains an open question whether anyonic statistics can lead to emergent dynamical scaling beyond the conventional Bose-Fermi paradigm. Here we…

Quantum Gases · Physics 2026-03-24 Xu-Chen Yang , Botao Wang , Jianpeng Liu , Bing Yang , Jianmin Yuan , Yongqiang Li

We consider the analog in one spatial dimension of the Bose-Fermi transmutation for planar systems. A quantum mechanical system of a spin 1/2 particle coupled to an abelian gauge field, which is classically invariant under gauge…

High Energy Physics - Theory · Physics 2009-10-30 J. Gamboa , V. O. Rivelles , J. Zanelli

In multiparticle quantum interference, bosons show rather generally the tendency to bunch together, while fermions can not. This behavior, which is rooted in the different statistics of the particles, results in a higher coincidence rate…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

The physical concept of quantum entanglement is brought to the biological domain. We simulate the cooperation of two insects by hypothesizing that they share a large number of quantum entangled spin-1/2 particles. Each of them makes…

Quantum Physics · Physics 2007-05-23 Johann Summhammer

By analyzing the BCS-BEC crossover, I found that because of the pairing interactions,a continuous family of quantum statistics interpolating between fermions and bosons is possible, although it seems incapable to construct reasonable wave…

Statistical Mechanics · Physics 2007-12-04 Tao Wang