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Quantum entanglement across spatially separated network nodes is conventionally established through the distribution of photons from a common source or via entanglement swapping that relies on Bell-state measurements and pre-shared…

Quantum Physics · Physics 2026-01-06 Sören Arlt , Mario Krenn , Xuemei Gu

We study the ground-state entanglement in systems of spins forming the boundary of a quantum spin network in arbitrary geometries and dimensionality. We show that as long as they are weakly coupled to the bulk of the network, the surface…

Quantum Physics · Physics 2013-05-21 S. Zippilli , S. M. Giampaolo , F. Illuminati

We consider quantum networks, where entangled photon pairs are distributed using fibre optic links from a centralized source to entangling nodes. The entanglement is then stored (via an entanglement swap) in entangling nodes' quantum…

Networking and Internet Architecture · Computer Science 2024-11-13 Vivek Vasan , Anuj Agrawal , Alexander Nico-Katz , Jerry Horgan , Boulat A. Bash , Daniel C. Kilper , Marco Ruffini

The secrecy graph is a random geometric graph which is intended to model the connectivity of wireless networks under secrecy constraints. Directed edges in the graph are present whenever a node can talk to another node securely in the…

Probability · Mathematics 2012-08-15 Amites Sarkar , Martin Haenggi

For interdependent networks with identity dependency map, percolation is exactly the same with that on a single network and follows a second-order phase transition, while for random dependency, percolation follows a first-order phase…

Social and Information Networks · Computer Science 2016-02-17 Jing Yuan , Lixiang Li , Haipeng Peng , Jürgen Kurths , Xiaojing Hua , Yixian Yang

The construction of quantum networks requires long-distance teleportation of multi-qubit entangled states. Here, we investigate the entanglement dynamics of GHZ and W states in fiber channels. In a fiber channel, the two most important…

Quantum Physics · Physics 2023-04-26 Yiwen Liu

We calculate the probability distribution of entanglement entropy S across a cut of a finite one dimensional spin chain of length L at an infinite randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the…

Statistical Mechanics · Physics 2017-03-23 Trithep Devakul , Satya N. Majumdar , David A. Huse

We introduce a characterization of topological order based on bulk oscillations of the entanglement entropy and the definition of an `entanglement gap', showing that it is generally applicable to pure and disordered quantum systems. Using…

Strongly Correlated Electrons · Physics 2020-07-01 Chunyu Tan , Hubert Saleur , Stephan Haas

We investigate the entanglement properties of quantum states associated with directed graphs. Using a measure derived from the Fubini-Study metric, we quantitatively relate multipartite entanglement to the local connectivity of the graph.…

Quantum Physics · Physics 2025-09-08 Lucio De Simone , Roberto Franzosi

Theoretical attempts proposed so far to describe ordinary percolation processes on real-world networks rely on the locally tree-like ansatz. Such an approximation, however, holds only to a limited extent, as real graphs are often…

Physics and Society · Physics 2016-03-30 Filippo Radicchi , Claudio Castellano

Percolation theory allows simple description of the phase transition based on the scaling properties of the network clusters with respect to a single parameter - site or bond occupation probability. How to design a network exhibiting the…

Quantum Physics · Physics 2020-03-19 Michael Siomau

We image with cameras entangled photon light transmitted through a random medium. Near-field and far-field spatial quantum correlations show that entangled photon pairs (bi-photons) generated by spontaneous optical parametric…

Quantum Physics · Physics 2019-07-09 Soro Gnatiessoro , Alexis Mosset , Eric Lantz , Fabrice Devaux

\emph{Full-bond percolation} with parameter $p$ is the process in which, given a graph, for every edge independently, we delete the edge with probability $1-p$. Bond percolation is motivated by problems in mathematical physics and it is…

Probability · Mathematics 2022-05-23 Luca Becchetti , Andrea Clementi , Francesco Pasquale , Luca Trevisan , Isabella Ziccardi

Photonic-based qubits and integrated photonic circuits have enabled demonstrations of quantum information processing (QIP) that promises to transform the way in which we compute and communicate. To that end, sources of…

We extend the SeQUeNCe discrete-event simulator with physics-based models for polarization-encoded photonic quantum networks. Our framework integrates Jones-calculus optical components, including an SPDC Bell-state source, wave plates, and…

Quantum Physics · Physics 2026-05-12 Abderrahim Amlou , Amar Abane , Cory M. Nunn , M. V. Jabir , Van Sy Mai , Abdella Battou , Ahmed Lbath

Confining an answer to the question whether and how the coherent operation of network elements is determined by the the network structure is the topic of our work. We map the structure of signal flow in directed networks by analysing the…

Data Analysis, Statistics and Probability · Physics 2011-06-22 M. Bányai , L. Négyessy , F. Bazsó

The propagation of light through samples with random inhomogeneities can be described by way of transmission eigenchannels, which connect incoming and outgoing external propagating modes. Although the detailed structure of a disordered…

Disordered Systems and Neural Networks · Physics 2014-04-18 A. Peña , A. Girschik , F. Libisch , S. Rotter , A. A. Chabanov

A simple protocol which takes advantage of the inherent random times of detections in single photon counting modules is presented for random active basis choices when using entanglement-based protocols for Quantum Key Distribution (QKD). It…

We study the information dynamics in a network of spin-$1/2$ particles when edges representing $XY$ interactions are randomly added to a disconnected graph accordingly to a probability distribution characterized by a "weighting" parameter.…

Quantum Physics · Physics 2015-04-24 Umer Farooq , Stefano Mancini

Bootstrap percolation has been used effectively to model phenomena as diverse as emergence of magnetism in materials, spread of infection, diffusion of software viruses in computer networks, adoption of new technologies, and emergence of…

Probability · Mathematics 2012-06-18 Milan Bradonjić , Iraj Saniee
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