Variational quantum algorithms for trace norms and their applications  

作　　者：Sheng-Jie Li Jin-Min Liang Shu-Qian Shen Ming Li 

机构地区：[1]College of Science,China University of Petroleum,266580 Qingdao,China [2]School of Mathematical Sciences,Capital Normal University,100048 Beijing,China

出　　处：《Communications in Theoretical Physics》2021年第10期90-96,共7页理论物理通讯（英文版）

摘　　要：The trace norm of matrices plays an important role in quantum information and quantum computing. How to quantify it in today’s noisy intermediate scale quantum(NISQ) devices is a crucial task for information processing. In this paper, we present three variational quantum algorithms on NISQ devices to estimate the trace norms corresponding to different situations.Compared with the previous methods, our means greatly reduce the requirement for quantum resources. Numerical experiments are provided to illustrate the effectiveness of our algorithms.

关 键 词：quantum algorithm trace norm variational algorithm 

分 类 号：O413[理学—理论物理]