Discrete Quantum Walk Entanglement Dynamics And Its Application In Quantum Network Coding

Quantum computing is a new type of calculation based on the theory of quantum mechanics.Its special characteristics make people break through the inherent understanding of the scientific question.The potential value of quantum computing not only attracts the attention of the scientific community,but also attaches great importance to the military and commercial circles.Quantum computing has become one of the most attractive frontiers in the information age.For studying quantum computation,quantum random walk is an important foundation and main tool.As a generalization of classical random walk,quantum random walk shows its distinctive characteristics than classical random walk.Like classical random walk,quantum random walk is also divided into two categories: discrete time and continuous time ones.The quantum random walk has a lot of unusual features that make it accessible to a wide range of space Quantum network coding is one of them.Compared with the traditional network communication,quantum network coding has the characteristics of quantum mechanics and quantum entanglement.Therefore,the efficiency and security of the network communication system constructed by quantum network coding has been greatly improved,and has become a research hotspot in the field of quantum communication.In this paper,we mainly study entanglement dynamics of the discrete time quantum random walk and its application in quantum network coding.The main innovative fruits in this article are as follows:(1)We first constructed random walk of two particles sharing the same coin on a circle.By using the Von Neumann entropy of the coin,the marginal probability and the entanglement entropy of the two particles with different an interaction and initial position are analyzed.We also analyzed the correlation between the two particles by calculating mutual information,quantum mutual information and measurement-induced disturbance.(2)A new quantum multi unicast communication protocol based on the above discrete quantum walk model was proposed to construct appropriate quantum network coding,and verify them in butterfly network and inverted crown network as well as generalized butterfly network.It is concluded that the arbitrary single qubit state can be not only efficiently transmitted in the simple butterfly network and the inverted crown network,but also in the complex and large network model,such as generalized butterfly network.The transmission probability and the fidelity of information are all 100%.In the end,we compared our network coding scheme with other existing schemes.The former does not need to prepare local or global quantum entanglement in advance,the resource consumption is lower.Therefore,the network coding scheme that we proposed is universality and generalizability,and it can be applied to quantum network communication.This promotes the effective combination of quantum computation and quantum communication.