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We formulate quantum optics to include frequency dependence in the modeling of optical networks. Entangled light pulses available for quantum cryptography are entangled not only in polarization but also, whether one wants it or not, in…

Quantum Physics · Physics 2007-05-23 John M. Myers

Many complex networks in nature have directed links, a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in- and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Schwartz , R. Cohen , D. ben-Avraham , A. -L. Barabasi , S. Havlin

We develop a concept of entanglement percolation for long-distance singlet generation in quantum networks with neighboring nodes connected by partially entangled bipartite mixed states. We give a necessary and sufficient condition on the…

Quantum Physics · Physics 2015-05-13 S. Broadfoot , U. Dorner , D. Jaksch

Entanglement shared between distant parties is a key resource in quantum networks. However, photon losses in quantum channels significantly reduce the success probability of entanglement sharing, which scales quadratically with the channel…

Quantum Physics · Physics 2024-05-08 Wan Zo , Bohdan Bilash , Donghwa Lee , Yosep Kim , Hyang-Tag Lim , Kyunghwan Oh , Syed M. Assad , Yong-Su Kim

Spontaneous parametric down-conversion (SPDC) is a reliable platform for entanglement generation. Routinely, a coherent laser beam is an essential prerequisite for pumping the nonlinear crystal. Here we break this barrier to generate…

Quantum Physics · Physics 2022-11-09 Wuhong Zhang , Diefei Xu , Lixiang Chen

This paper explores the entanglement dynamics generated by interacting two-particle quantum walks on degree-regular and -irregular graphs. We performed spectral analysis of the time-evolution of both the particle probability distribution…

Quantum Physics · Physics 2015-11-17 G. R. Carson , T. Loke , J. B. Wang

Multipartite entanglement is a key resource for quantum computation. It is expected theoretically that entanglement transition may happen for multipartite random quantum states, however, which is still absent experimentally. Here, we report…

A quantum network is a network of entangled states and can be used to transmit quantum information. Non-maximally entangled states are not really effective in establishing quantum communication across vast distances. Creating and…

Quantum Physics · Physics 2025-01-22 Deep Nath , Soumen Roy

The characterization of ensembles of many-qubit random states and their realization via quantum circuits are crucial tasks in quantum-information theory. In this work, we study the ensembles generated by quantum circuits that randomly…

Statistical Mechanics · Physics 2026-03-18 Dávid Szász-Schagrin , Michele Mazzoni , Bruno Bertini , Katja Klobas , Lorenzo Piroli

The most simplest form of quantum network is an one dimensional quantum network with a single player in each node. In remote entanglement distribution each of the players carry out measurement at the intermediate nodes to produce an…

Quantum Physics · Physics 2023-06-27 Ganesh Mylavarapu , Indranil Chakrabarty , Kaushiki Mukherjee , Minyi Huang , Junde Wu

Large-scale quantum networks have been employed to overcome practical constraints of transmissions and storage for single entangled systems. Our goal in this article is to explore the strong entanglement distribution of quantum networks. We…

Quantum Physics · Physics 2022-04-18 Xue Yang , Yan-Han Yang , Ming-Xing Luo

Suppose each site independently and randomly chooses some sites around it, and it is weakly (strongly) connected with them (if there choose each other). What is the probability that the weak (strong) connected cluster is infinite? We…

Probability · Mathematics 2016-04-04 Mamoru Tanaka

Randomness certification is a foundational and practical aspect of quantum information science, essential for securing quantum communication protocols. Traditionally, these protocols have been implemented and validated with a single…

A simple, discrete, parametric model is proposed to describe conditional (correlated) deposition of particles on a surface and formation of a connecting (percolating) cluster. The surface changes spontaneously its properties (phase…

Statistical Mechanics · Physics 2007-05-23 Ana Proykova , Boris Karadjov

We formulate quantum optics to include frequency dependence in the modeling of optical networks. Entangled light pulses available for quantum cryptography are entangled not only in polarization but also, whether one wants it or not, in…

Quantum Physics · Physics 2009-09-29 John M. Myers

Cold atomic ensembles can mediate the generation of entanglement between pairs of photons. Photons with specific directions of propagation are detected, and the entanglement can reside in any of the degrees of freedom that describe the…

Quantum Physics · Physics 2009-11-13 Clara I. Osorio , Sergio Barreiro , Morgan W. Mitchell , Juan P. Torres

Bootstrap percolation in (random) graphs is a contagion dynamics among a set of vertices with certain threshold levels. The process is started by a set of initially infected vertices, and an initially uninfected vertex with threshold $k$…

Probability · Mathematics 2022-11-03 Nils Detering , Jimin Lin

We consider bond percolation on random graphs with given degrees and bounded average degree. In particular, we consider the order of the largest component after the random deletion of the edges of such a random graph. We give a rough…

Combinatorics · Mathematics 2022-01-12 Nikolaos Fountoulakis , Felix Joos , Guillem Perarnau

The prospect of using the quantum nature of light for secure communication keeps spurring the search and investigation of suitable sources of entangled-photons. Semiconductor quantum dots are arguably the most attractive. They can generate…

Quantum percolation describes the problem of a quantum particle moving through a disordered system. While certain similarities to classical percolation exist, the quantum case has additional complexity due to the possibility of Anderson…

Quantum Physics · Physics 2014-10-03 C. M. Chandrashekar , Th. Busch
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