Research On The Distribution Of Quantum Entanglement Converted From Coherence

Quantum entanglement is not only the intrinsic feature which distinguishes quantum mechanics from classical physics,but also a necessary quantum resource in the quantum information processing.The typical characteristic of quantum entanglement is that it satisfies the monogamy if considering its distribution among a multipartite quantum system.Namely,the entanglement between two quantum systems will limits either one entangling with a third system.The monogamy of entanglement has attracted wide attention,but generally speaking,the monogamy of entanglement only for the qubit systems can be well described by an exact monogamy inequality,and it remains an open question for the monogamy of the high-dimensional quantum entanglement.In this dissertation,the fundamental theory of quantum mechanics and the relevant basic knowledge of quantum information are first reviewed.Then the resource theory of another fundamental quantum feature----quantum coherence is effectively utilized to prove that the coherence based on thel₁norm can be completely converted to the entanglement（based on negativity）with equal amount.With the similar conversion for the relative entropy of coherence,the monogamy inequalities of entanglement in terms of negativity and the relative entropy are successfully achieved.Moreover,it is found that the coherence based on thel₁norm as well as the relative entropy satisfies the analogous inequalities if the distribution of coherence is considered in multipartite systems.However,the further analysis indicates that the similar distribution rules of coherence shouldn’t be understood as the monogamy of quantum coherence.The reason is that quantum entanglement describe some correlation between two or more quantum systems,but the coherence essentially characterizes the feature of the superposition of quantum state for a single quantum system.