The Detection And Measurement Of Genuine Quantum Entanglement

Quantum information is the physical information taking by quantum system states in quantum mechanics.Quantum entanglement is a most important kind of physical resource in quantum information theory.This paper mainly studies the detection and some measurements of genuine tripartite quantum entanglement.Firstly,the relationship between quantum entanglement and quantum information,the development background and current situation at home and abroad are introduced.The second part of the paper introduces some basic concepts of mathematics and physics,such as matrix decomposition,density matrix,quantum entanglement the definition of genuine tripartite quantum entanglement,some classical quantum entanglement criteria,the construction of correlation tensors with Bloch representation the definition and the lower bound of concurrence,etc.The third part of the thesis studies the genuine tripartite entanglement determination and the estimation of genuine tripartite concurrence by using the Bloch representation,the partial transposition and rearrangement of the density matrix.We analied the 2 norm of the Bloch vector and density matrix partial transposition and PPT rearrangement.The relationship between the trace norm and the genuine entanglement,we gives a criterion for genuine tripartite entanglement and further obtains the analytical lower bound of the genuine tripartite entanglement.The last part of the thesis analyzes some classical genuine tripartite entanglement determinations.Using numerical examples of specific examples,we show that our criterion and the lower bounds of genuine tripartite entanglement concurrence are valid,that is,our criteria can identify more genuine tripartite entanglement and the lower bound of the true degree of concurrency we obtain is larger than the existing related results.