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We present a general theory of quantum information propagation in chaotic quantum many-body systems. The generic expectation in such systems is that quantum information does not propagate in localized form; instead, it tends to spread out…

Statistical Mechanics · Physics 2020-11-05 Josiah Couch , Stefan Eccles , Phuc Nguyen , Brian Swingle , Shenglong Xu

We investigate the propagation of information through the disordered XY model. We find, with a probability that increases with the size of the system, that all correlations, both classical and quantum, are suppressed outside of an effective…

Quantum Physics · Physics 2011-07-22 Christian K. Burrell , Tobias J. Osborne

We study the spread of a quantum-mechanical wavepacket in a noisy environment, modeled using a tight-binding Hamiltonian. Despite the coherent dynamics, the fluctuating environment may give rise to diffusive behavior. When correlations…

Statistical Mechanics · Physics 2019-07-29 Nisarga Paul , Ariel Amir

Coherent wave propagation in disordered media gives rise to many fascinating phenomena as diverse as universal conductance fluctuations in mesoscopic metals and speckle patterns in light scattering. Here, the theory of electromagnetic wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aris L. Moustakas , Harold U. Baranger , Leon Balents , Anirvan M. Sengupta , Steven H. Simon

If the information is encoded into the state of the subsystem $S$ of a quantum system initially (at $t=0$), then it becomes distributed over the whole quantum system at $t>0$ due to the quantum interactions. Consequently, this information,…

Quantum Physics · Physics 2015-05-30 A. I. Zenchuk

We study decoherence of propagating spin-1/2 excitations in generic (non-integrable and/or disordered) spin chains. We find the relevant decoherence times to be shorter in both the near-critical and diffusive regimes (if any), which fact…

Strongly Correlated Electrons · Physics 2009-11-10 D. V. Khveshchenko

Information spreads in time. For example, correlations dissipate when the correlated system locally couples to a third party, such as the environment. This simple but important fact forms the known quantum data-processing inequality. Here…

Quantum Physics · Physics 2024-03-15 Kun Zhang , Jin Wang

We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We employ Quantum Fisher Information, as a figure of merit, to quantify extractable information about an unknown parameter…

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

We investigate the propagation of random fluctuations through biochemical networks in which the concentrations of species are large enough so that the unperturbed problem is well-described by ordinary differential equation. We characterize…

Probability · Mathematics 2007-05-23 David Anderson , Jonathan Mattingly , H. Frederik Nijhout , Michael Reed

We study the transport of information between two complex networks with similar properties. Both networks generate non-Poisson renewal fluctuations with a power-law spectrum 1/f^(3-\mu), the case \mu= 2 corresponding to ideal 1/f-noise. We…

Statistical Mechanics · Physics 2015-06-03 Gerardo Aquino , Mauro Bologna , Paolo Grigolini , Bruce J. West

The spurious interaction of quantum systems with their environment known as decoherence leads, as a function of time, to a decay of coherence of superposition states. Since the interactions between system and environment are local, they can…

Quantum Physics · Physics 2015-03-19 Gonzalo A. Alvarez , Dieter Suter

We analyze the propagation of quantum states in the presence of weak disorder. In particular, we investigate the reliable transmittance of quantum states, as potential carriers of quantum information, through disorder-perturbed waveguides.…

Quantum Physics · Physics 2017-09-22 Clemens Gneiting , Franco Nori

Information propagation characterizes how input correlations evolve across layers in deep neural networks. This framework has been well studied using mean-field theory, which assumes infinitely wide networks. However, these assumptions…

Machine Learning · Computer Science 2026-01-21 Giuseppe Alessio D'Inverno , Zhiyuan Hu , Leo Davy , Michael Unser , Gianluigi Rozza , Jonathan Dong

We present an experimental study of the propagation of quantum noise in a multiple scattering random medium. Both static and dynamic scattering measurements are performed: the total transmission of noise is related to the mean free path for…

Quantum Physics · Physics 2009-11-10 P. Lodahl , A. Lagendijk

The mechanisms of information transmission are investigated in a lattice of coupled continuous maps, by analyzing the propagation of both finite and infinitesimal disturbances. Two distinct regimes are detected: in the former case, both…

chao-dyn · Physics 2009-10-22 Antonio Politi , Alessandro Torcini

Disorder, noise and interaction play a crucial role in the transport properties of real systems, but they are typically hard to control and study both theoretically and experimentally, especially in the quantum case. Here we explore a…

Quantum Gases · Physics 2013-09-12 C. D'Errico , M. Moratti , E. Lucioni , L. Tanzi , B. Deissler , M. Inguscio , G. Modugno , M. B. Plenio , F. Caruso

Propagation of chaos for interacting particle systems has been an active research topic over decades. We propose an alternative approach to study the mean-field limit of the stochastic interacting particle systems via tools from information…

Probability · Mathematics 2025-01-07 Lei Li , Yuelin Wang , Yuliang Wang

One of the most basic tasks required for Quantum Information Technology is the ability to connect different components of a Quantum Computer by quantum wires that obey the superposition principle. Since superpositions can be very sensitive…

Quantum Physics · Physics 2009-04-16 Daniel Burgarth

We investigate how robust is the modified XX spin-1/2 chain of [R. Vieira and G. Rigolin, Phys. Lett. A 382, 2586 (2018)] in transmitting entanglement when several types of disorder and noise are present. First, we consider how deviations…

Quantum Physics · Physics 2019-03-28 Rafael Vieira , Gustavo Rigolin
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