Entanglement percolation in random quantum networks

Fuente: arXiv
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Autores principales: Romancino, Alessandro, Romero-Pallejà, Jordi, Palma, G. Massimo, Sanpera, Anna
Formato: Preprint
Publicado: 2026
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author Romancino, Alessandro
Romero-Pallejà, Jordi
Palma, G. Massimo
Sanpera, Anna
author_facet Romancino, Alessandro
Romero-Pallejà, Jordi
Palma, G. Massimo
Sanpera, Anna
contents 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 percolation theory, the topology of the network is crucial, but also the entanglement shared between the nodes of the network. In a network of identically partially entangled states, the network topology determines the minimum entanglement needed for percolation. In this work, we generalize the protocol to scenarios where the initial entanglement shared between any two nodes of the network is not the same but has some randomness. In such cases, we find that for classical entanglement percolation, only the average initial entanglement is relevant. In contrast, the quantum entanglement percolation protocol (within the q-swap framework) degrades under these more realistic conditions as the width of the distribution increases, suggesting that Random CEP may become the optimal LOCC strategy in sufficiently heterogeneous quantum networks.
format Preprint
id arxiv_https___arxiv_org_abs_2602_10189
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Entanglement percolation in random quantum networks
Romancino, Alessandro
Romero-Pallejà, Jordi
Palma, G. Massimo
Sanpera, Anna
Quantum Physics
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 percolation theory, the topology of the network is crucial, but also the entanglement shared between the nodes of the network. In a network of identically partially entangled states, the network topology determines the minimum entanglement needed for percolation. In this work, we generalize the protocol to scenarios where the initial entanglement shared between any two nodes of the network is not the same but has some randomness. In such cases, we find that for classical entanglement percolation, only the average initial entanglement is relevant. In contrast, the quantum entanglement percolation protocol (within the q-swap framework) degrades under these more realistic conditions as the width of the distribution increases, suggesting that Random CEP may become the optimal LOCC strategy in sufficiently heterogeneous quantum networks.
title Entanglement percolation in random quantum networks
topic Quantum Physics
url https://arxiv.org/abs/2602.10189