Entanglement Percolation Of Quantum Scale-free Network Under Random Attacks And Targeted Failures

We built up a quantum scale-free model through a pair of entanglement established between the nodes.We separately launched quantum operations for two categories according to the scale-free network model:it randomly attacked the nodes within the network and take advantage of the nodes that caused targeted failure with equal probability through the ways of regional entangled exchange.This essay discussed the modification of its percolated threshold value under two circumstances which in turn presented the robustness and fragility of the quantum scale-free network.In addition,it also dealt with the theory that quantum scale-free network with the entangled concentration state still remains the robustness and fragility even under the random attack and targeted failure.Firstly,we built a scale-free network model and delivered the information passage for a pair of partial entanglement between the two nodes at random.Then quantum telecommunication can be achieved when partial entanglement managed to be converted into the maximum state with the certain probability.We made use of generated function and analyze this modification in the form of side percolation.Meanwhile we launched the regional operations for the entanglement within the network which made the change of topological structure within the network happened.We found out that the threshold value of entangled percolation had something to do with the interception index of scale-free network.The higher the index is,the lower the entangled threshold value of quantum after operation is.As a result,the realization of information pass is more likely to happen.Furthermore,we separately discussed the influence for quantum scale-free network under the random attack and targeted failure through the point percolated model.After the random attack,the entangled threshold value within the network obviously became lower and it presented the robustness of quantum scale-free network.After the targeted failure,the entangled threshold value relatively became higher and it presented the fragility of quantum scale-free network.Finally,due to the phenomenon that information loss happened to the actual network in the process of transmission,we further explored the entangled concentration and found out that quantum scale-free network still remained robustness and fragility under the random atttack and targeted failure through theoretical analysis and value simulation.It further proves that quantum operation still can realize the robustness of actual network.