![]() ![]() On the other hand, the rate of convergence at the coherent states of the overall quantum network is proven to be decided by the spectrum of a mean-square error evolution matrix. For randomized selection of cliques, such improved rate of convergence is precisely characterized. We show that at reduced states, these cliques have the same acceleration effects as their roles in accelerating classical gossip algorithms. Based on cyclic permutations, clique gossiping leads to collective multi-party qubit interactions. Cliques are local structures in complex networks being complete subgraphs, which can be used to accelerate classical gossip algorithms. This paper establishes a framework of quantum clique gossiping by introducing local clique operations to networks of interconnected qubits. ![]() Li, Bo Li, Shuang Wu, Junfeng Qi, Hongsheng Furthermore, a class of expansions to base β > 1, β =2 Z, 'in between' the lazy and the greedy ![]() ![]() It is shown that the so-called 'lazy' expansion is isomorphic to the ' greedy' expansion. In this paper we study the ergodic properties of non- greedy series expansions to non-integer bases β > 1. The algorithm identifies d.įrom greedy to lazy expansions and their driving dynamics To overcome this limitation, we introduce a new community assignment algorithm called Greedy Clique Expansion (GCE). Recent advances in benchmarking indicate that existing community assignment algorithms that are capable of detecting overlapping communities perform well only when the extent of community overlap is kept to modest levels. In complex networks it is common for each node to belong to several communities, implying a highly overlapping community structure. Lee, Conrad Reid, Fergal McDaid, Aaron Hurley, Neil Detecting highly overlapping community structure by greedy clique expansion ![]()
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March 2023
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