{"paper":{"title":"Entanglement Percolation in Quantum Networks","arxiv_id":"quant-ph/0612167","primary_cat":"quant-ph","submitted_at":"2006-12-19T17:45:15+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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networks.","hedge":{"p":0.78,"label":"asserted"},"own_p":0.04,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.71,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.98,"id":"s2","own":false,"role":"background","text":"These goals can be achieved, for instance, via teleportation.","hedge":{"p":0.54,"label":"hedged_possibility"},"own_p":0.05,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.0,"background":0.98,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":3,"p":0.73,"id":"s3","own":true,"role":"contribution","text":"Here we show that the design of efficient quantum communication protocols in quantum networks involves intriguing quantum phenomena, depending both on the way the nodes are displayed, and the entanglement between them.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.73,"main_claim_p":0.18,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.17,"background":0.06,"limitation":0.0,"future_work":0.0,"contribution":0.73,"interpretation":0.04}},{"i":4,"p":0.63,"id":"s4","own":true,"role":"result","text":"These phenomena can be employed to design protocols which overcome the exponential decrease of signals with the number of nodes.","hedge":{"p":0.62,"label":"hedged_possibility"},"own_p":0.62,"main_claim_p":0.22,"quantitative":true,"quantitative_p":0.68,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.63,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.14,"interpretation":0.23}},{"i":5,"p":0.81,"id":"s5","own":true,"role":"contribution","text":"We relate the problem of establishing maximally entangled states between nodes to classical percolation in statistical mechanics, and demonstrate that quantum phase transitions can be used 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