XYZ自旋链中关联的品质

Quality of Correlation in XYZ Spin Chain

  • 摘要: 以非均匀磁场中受Dzyaloshinskii-Moriya相互作用的两量子比特海森堡XYZ自旋链模型为例,用共生纠缠、量子失协和失协的几何度量三种度量方式,计算了量子关联随时间的演化.利用选择性平均关联和纹波系数,评价不同时间间隔内或相同时间间隔内系统取不同参数的量子关联的品质高低.发现纠缠猝死后纠缠为零的时间段,量子失协和失协的几何度量的值也都很小,因而品质都很低.系统取定参数后,可以找到量子关联品质高的时间段;而优化参数,可以找到相同时长的品质更高的量子关联,有利于量子信息处理.

     

    Abstract: Take two quantum bit Heisenberg XYZ spin chain model as an example. The model is in an inhomogeneous magnetic field and influenced by Dzyaloshinskii-Moriya interaction. Use three measure methods which are concurrence, quantum discord and geometric measure of quantum discord, calculate the evolution of correlation with time. Use our selective average correlation and ripple coefficient, to evaluate the quality of the quantum correlation in different time intervals or of different parameters within the same time interval. Find that the qualities of quantum discord and geometric measure of quantum discord are low during the time interval of sudden death of entanglement, and then the quality is low. Given the parameters of the system, find the time interval of quantum correlation with high quality; while optimizing the parameters of the system, find a higher quality of quantum correlation in a same time interval, these may be beneficial for quantum information processing.

     

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