Optimized Quantum Networks

The topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of entanglement prior to network requests, which can substitute li...

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Main Authors: Jorge Miguel-Ramiro, Alexander Pirker, Wolfgang Dür
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-02-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-02-09-919/pdf/
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author Jorge Miguel-Ramiro
Alexander Pirker
Wolfgang Dür
author_facet Jorge Miguel-Ramiro
Alexander Pirker
Wolfgang Dür
author_sort Jorge Miguel-Ramiro
collection DOAJ
description The topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of entanglement prior to network requests, which can substitute links and allow one to fulfill multiple network requests with the same resource state. We utilize this to design entanglement-based quantum networks tailored to their desired functionality, independent of the underlying physical structure. The kind of entanglement to be stored is chosen to fulfill all desired network requests (i.e. parallel bipartite or multipartite communications between specific nodes chosen from some finite set), but in such a way that the storage requirement is minimized. This can be accomplished by using multipartite entangled states shared between network nodes that can be transformed by local operations to different target states. We introduce a clustering algorithm to identify connected clusters in the network for a given desired functionality, i.e. the required network topology of the entanglement-based network, and a merging algorithm that constructs multipartite entangled resource states with reduced memory requirement to fulfill all desired network requests. This leads to a significant reduction in required time and resources, and provides a powerful tool to design quantum networks that is unique to entanglement-based networks.
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spelling doaj.art-2cd610d496754ed1a9cf6c773277d3ea2023-02-09T17:12:50ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-02-01791910.22331/q-2023-02-09-91910.22331/q-2023-02-09-919Optimized Quantum NetworksJorge Miguel-RamiroAlexander PirkerWolfgang DürThe topology of classical networks is determined by physical links between nodes, and after a network request the links are used to establish the desired connections. Quantum networks offer the possibility to generate different kinds of entanglement prior to network requests, which can substitute links and allow one to fulfill multiple network requests with the same resource state. We utilize this to design entanglement-based quantum networks tailored to their desired functionality, independent of the underlying physical structure. The kind of entanglement to be stored is chosen to fulfill all desired network requests (i.e. parallel bipartite or multipartite communications between specific nodes chosen from some finite set), but in such a way that the storage requirement is minimized. This can be accomplished by using multipartite entangled states shared between network nodes that can be transformed by local operations to different target states. We introduce a clustering algorithm to identify connected clusters in the network for a given desired functionality, i.e. the required network topology of the entanglement-based network, and a merging algorithm that constructs multipartite entangled resource states with reduced memory requirement to fulfill all desired network requests. This leads to a significant reduction in required time and resources, and provides a powerful tool to design quantum networks that is unique to entanglement-based networks.https://quantum-journal.org/papers/q-2023-02-09-919/pdf/
spellingShingle Jorge Miguel-Ramiro
Alexander Pirker
Wolfgang Dür
Optimized Quantum Networks
Quantum
title Optimized Quantum Networks
title_full Optimized Quantum Networks
title_fullStr Optimized Quantum Networks
title_full_unstemmed Optimized Quantum Networks
title_short Optimized Quantum Networks
title_sort optimized quantum networks
url https://quantum-journal.org/papers/q-2023-02-09-919/pdf/
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