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Structure of Multipartite Entanglement in Random Cluster-Like Photonic Systems

Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, Rome 00185, Italy
Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen’s University Belfast, Belfast BT7 1NN, UK
Author to whom correspondence should be addressed.
Entropy 2017, 19(9), 473;
Received: 24 July 2017 / Revised: 15 August 2017 / Accepted: 2 September 2017 / Published: 5 September 2017
(This article belongs to the Special Issue Quantum Information and Foundations)
Quantum networks are natural scenarios for the communication of information among distributed parties, and the arena of promising schemes for distributed quantum computation. Measurement-based quantum computing is a prominent example of how quantum networking, embodied by the generation of a special class of multipartite states called cluster states, can be used to achieve a powerful paradigm for quantum information processing. Here we analyze randomly generated cluster states in order to address the emergence of correlations as a function of the density of edges in a given underlying graph. We find that the most widespread multipartite entanglement does not correspond to the highest amount of edges in the cluster. We extend the analysis to higher dimensions, finding similar results, which suggest the establishment of small world structures in the entanglement sharing of randomised cluster states, which can be exploited in engineering more efficient quantum information carriers. View Full-Text
Keywords: cluster states; multipartite entanglement; percolation cluster states; multipartite entanglement; percolation
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Ciampini, M.A.; Mataloni, P.; Paternostro, M. Structure of Multipartite Entanglement in Random Cluster-Like Photonic Systems. Entropy 2017, 19, 473.

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