| Quantum coherence is one of the most important properties in quantum system,which comes from the quantum coherence of quantum superposition principle.Quantum coherence is one of the basic characteristics of quantum mechanics,and it is also a particularly important element in quantum information and quantum computing.In recent years,quantum computing and quantum information have developed very fast.At present,most of them are qualitative research on quantum coherence.For today’s scientific development,it is necessary to take the quantitative research of quantum coherence as an important research topic in the field of quantum research.Quantum coherence is already a necessary physical resource widely used in various quantum information processing transactions.At present,some studies have shown that there are some good research results on the quantitative research of quantum coherence in two-qubit system.However,there are no more appropriate conclusions and results for the quantitative research of quantum internal relationship and coherence in multipartite system.Therefore,the quantitative study of quantum coherence in multipartite quantum systems has naturally become a very necessary topic in the theoretical research of quantum coherence.Super-additivity means that the measure of coherence in multipartite systems is greater than the sum of coherence in a single system.This relationship leads to the distribution of coherence in multipartite quantum systems.The relevant conclusions and proofs of each super additive inequality are also very important.Firstly,the definitions of trace distance,fidelity and relative entropy are given,and then the coherence measures based on distance,fidelity,relative entropy and norm are given respectively.Secondly,based on several coherence measures,the super-additivity relationship between the l1 norm of coherence measure and coherent entropy is studied;Subsequently,based on the block projection,it is proved that the block coherence measure satisfies the monotonicity of the l1 norm of block coherence.At the same time,the block coherence order relation is studied,the coherence distribution of the multipartite quantum system is proved,and some conclusions of the strict super-additivity relation are given. |
