The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned...The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned only for pure states,has limited applicability in realistic scenarios where mixed states are common.To address this limitation,we generalize the defnition of the QGT to mixed states using the purifcation bundle and the covariant derivative.Notably,our proposed defnition reduces to the traditional QGT when mixed states approach pure states.In our framework,the real and imaginary parts of this generalized QGT correspond to the Bures metric and the mean gauge curvature,respectively,endowing it with a broad range of potential applications.Additionally,using our proposed mixed-state QGT,we derive the geodesic equation applicable to mixed states.This work establishes a unifed framework for the geometric analysis of both pure and mixed states,thereby deepening our understanding of the geometric properties of quantum states.展开更多
Recently, the copper mine in Wuping County Longjiangting Mining Area, which is located in the west of the Zijin Mountain Mine Field, has passed in-depth survey, the proven
Hainan Provincial Bureau of Geological and Mineral Exploitation and Development has re- cently signed a strategic cooperation agreement with Shandong Gold Group Co Ltd.,establish- ing a long-term strategic partnership...Hainan Provincial Bureau of Geological and Mineral Exploitation and Development has re- cently signed a strategic cooperation agreement with Shandong Gold Group Co Ltd.,establish- ing a long-term strategic partnership to jointly develop Hainan’s abundant mineral resources, particularly the gold resources as a focus,in order to build Hainan Province into China’s key gold production base.As stipulated in the agreement,the two parties will reach a展开更多
According to a report frown China NonferrousMetals News, China recently sent 3 teams toJapan for the inspection of some Japanesemetals scrap suppliers who have had someproblems during the registration applicationsfor ...According to a report frown China NonferrousMetals News, China recently sent 3 teams toJapan for the inspection of some Japanesemetals scrap suppliers who have had someproblems during the registration applicationsfor exporting metals scrap to China. The in-spection targets mainly include the metals展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.12347104,U24A2017,12461160276,and 12175075)the National Key Research and Development Program of China(Grant No.2023YFC2205802)+1 种基金the Natural Science Foundation of Jiangsu Province(Grant Nos.BK20243060 and BK20233001)in part by the State Key Laboratory of Advanced Optical Communication Systems and Networks,China。
文摘The quantum geometric tensor(QGT)is a fundamental quantity for characterizing the geometric properties of quantum states and plays an essential role in elucidating various physical phenomena.The traditional QGT,defned only for pure states,has limited applicability in realistic scenarios where mixed states are common.To address this limitation,we generalize the defnition of the QGT to mixed states using the purifcation bundle and the covariant derivative.Notably,our proposed defnition reduces to the traditional QGT when mixed states approach pure states.In our framework,the real and imaginary parts of this generalized QGT correspond to the Bures metric and the mean gauge curvature,respectively,endowing it with a broad range of potential applications.Additionally,using our proposed mixed-state QGT,we derive the geodesic equation applicable to mixed states.This work establishes a unifed framework for the geometric analysis of both pure and mixed states,thereby deepening our understanding of the geometric properties of quantum states.
文摘Recently, the copper mine in Wuping County Longjiangting Mining Area, which is located in the west of the Zijin Mountain Mine Field, has passed in-depth survey, the proven
文摘Hainan Provincial Bureau of Geological and Mineral Exploitation and Development has re- cently signed a strategic cooperation agreement with Shandong Gold Group Co Ltd.,establish- ing a long-term strategic partnership to jointly develop Hainan’s abundant mineral resources, particularly the gold resources as a focus,in order to build Hainan Province into China’s key gold production base.As stipulated in the agreement,the two parties will reach a
文摘According to a report frown China NonferrousMetals News, China recently sent 3 teams toJapan for the inspection of some Japanesemetals scrap suppliers who have had someproblems during the registration applicationsfor exporting metals scrap to China. The in-spection targets mainly include the metals
