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Related papers: Random entanglement percolation on realistic quant…

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Entanglement percolation aims at generating maximal entanglement between any two nodes of a quantum network by utilizing strategies based solely on local operations and classical communication between the nodes. As it happens in classical…

Quantum Physics · Physics 2026-04-27 Alessandro Romancino , Jordi Romero-Pallejà , G. Massimo Palma , Anna Sanpera

The distribution of entanglement between the nodes of a quantum network plays a fundamental role in quantum information applications. In this work, we investigate the dynamics of a network of qubits where each edge corresponds to an…

Quantum networks are essential to quantum information distributed applications, and communicating over them is a key challenge. Complex networks have rich and intriguing properties, which are as yet unexplored in the quantum setting. Here,…

Quantum Physics · Physics 2009-12-15 M. Cuquet , J. Calsamiglia

The problem of continuum percolation in dispersions of rods is reformulated in terms of weighted random geometric graphs. Nodes (or sites or vertices) in the graph represent spatial locations occupied by the centers of the rods. The…

Statistical Mechanics · Physics 2015-09-30 Avik P. Chatterjee , Claudio Grimaldi

In a quantum communication network, links represent entanglement between qubits located at different nodes. Even if two nodes are not directly linked by shared entanglement, communication channels can be established between them via quantum…

Quantum Physics · Physics 2025-03-07 Xiangyi Meng , Bingjie Hao , Balázs Ráth , István A. Kovács

Percolation is a model for random damage to a network. It is one of the simplest models that displays a phase transition: when the network is severely damaged, it falls apart in many small connected components, while if the damage is light,…

Probability · Mathematics 2025-12-18 Remco van der Hofstad

Quantum networks are interconnected by nodes, between singlets which are formed to ensure the successful transmission of information with a probability of 1. However, in real quantum networks, nodes often share a partially entangled state…

Quantum Physics · Physics 2024-01-23 JianXiong Liang , Xiaoguang Chen , Yaoyao Wang

The concentration and distribution of quantum entanglement is an essential ingredient in emerging quantum information technologies. Much theoretical and experimental effort has been expended in understanding how to distribute entanglement…

Quantum Physics · Physics 2013-09-25 S. Perseguers , G. J. Lapeyre , D. Cavalcanti , M. Lewenstein , A. Acín

Entanglement of high dimensional states is becoming increasingly important for quantum communication and computing. The most common source of entangled photons is spontaneous parametric down conversion (SPDC), where the degree of frequency…

Quantum Physics · Physics 2020-01-22 C. Okoth , E. Kovlakov , F. Boensel , A. Cavanna , S. Straupe , S. P. Kulik , M. V. Chekhova

We study entanglement distribution in quantum complex networks where nodes are connected by bipartite entangled states. These networks are characterized by a complex structure, which dramatically affects how information is transmitted…

Quantum Physics · Physics 2011-05-18 Martí Cuquet , John Calsamiglia

Polarization-entangled photon pairs generated from second-order nonlinear optical media have been extensively studied for both fundamental research and potential applications of quantum information. In spontaneous parametric down-conversion…

Quantum Physics · Physics 2024-10-01 B. S. Ham

Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics.…

Quantum Physics · Physics 2023-11-21 Xiangyi Meng , Xinqi Hu , Yu Tian , Gaogao Dong , Renaud Lambiotte , Jianxi Gao , Shlomo Havlin

We examine the heterogeneous responses of individual nodes in sparse networks to the random removal of a fraction of edges. Using the message-passing formulation of percolation, we discover considerable variation across the network in the…

Statistical Mechanics · Physics 2017-09-13 Reimer Kuehn , Tim Rogers

We study broadband polarization entangled states generated within the line width of type-II Spontaneous Parametric Down Conversion (SPDC). Applying a complete quantum polarization tomography protocol at arbitrary combination of frequency…

Quantum Physics · Physics 2015-05-19 Dmitry A. Kalashnikov , Leonid A. Krivitsky

We study the two most common types of percolation process on a sparse random graph with a given degree sequence. Namely, we examine first a bond percolation process where the edges of the graph are retained with probability p and afterwards…

Combinatorics · Mathematics 2007-05-23 Nikolaos Fountoulakis

Quantum communication demands efficient distribution of quantum entanglement across a network of connected partners. The search for efficient strategies for the entanglement distribution may be based on percolation theory, which describes…

Quantum Physics · Physics 2016-08-23 Michael Siomau

Quantum networks are of great interest of late which apply quantum mechanics to transfer information securely. One of the key properties which are exploited is entanglement to transfer information from one network node to another.…

Quantum Physics · Physics 2023-08-17 Dibakar Das , Shiva Kumar Malapaka , Jyotsna Bapat , Debabrata Das

The entanglement spectrum, i.e., the full distribution of Schmidt eigenvalues of the reduced density matrix, contains more information than the conventional entanglement entropy and has been studied recently in several many-particle…

Strongly Correlated Electrons · Physics 2011-02-02 Maurizio Fagotti , Pasquale Calabrese , Joel E. Moore

We develop a general theory for percolation in directed random networks with arbitrary two point correlations and bidirectional edges, that is, edges pointing in both directions simultaneously. These two ingredients alter the previously…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Boguna , M. A. Serrano

The entanglement swapping protocol (ESP) is a fundamental primitive for distributing quantum correlations across distant nodes in a quantum network. Recent studies have demonstrated that even when the involved qubit pairs are only partially…

Quantum Physics · Physics 2026-03-24 Henrique Guerra , Tailan S. Sarubi , Rafael Chaves , Jonas Maziero
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