A Hierarchy in Majorana Non-Abelian Tests and Hidden Variable Models  

作　　者：钱鹏 刘东 Peng Qian;Dong E.Liu(Beijing Academy of Quantum Information Sciences,Beijing 100193,China;State Key Laboratory of Low Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing 100084,China;Frontier Science Center for Quantum Information,Beijing 100184,China;Hefei National Laboratory,Hefei 230088,China)

机构地区：[1]Beijing Academy of Quantum Information Sciences,Beijing 100193,China [2]State Key Laboratory of Low Dimensional Quantum Physics,Department of Physics,Tsinghua University,Beijing 100084,China [3]Frontier Science Center for Quantum Information,Beijing 100184,China [4]Hefei National Laboratory,Hefei 230088,China

出　　处：《Chinese Physics Letters》2023年第10期13-18,共6页中国物理快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11974198);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302400);the Tsinghua University Initiative Scientific Research Program。

摘　　要：The recent progress of the Majorana experiments paves a way for the future tests of non-Abelian braiding statistics and topologically protected quantum information processing.However,a deficient design in those tests could be very dangerous and reach false-positive conclusions.A careful theoretical analysis is necessary so as to develop loophole-free tests.We introduce a series of classical hidden variable models to capture certain key properties of Majorana system:non-locality,topologically non-triviality,and quantum interference.Those models could help us to classify the Majorana properties and to set up the boundaries and limitations of Majorana nonAbelian tests:fusion tests,braiding tests and test set with joint measurements.We find a hierarchy among those Majorana tests with increasing experimental complexity.

关 键 词：ABELIAN TOPOLOGICAL QUANTUM 

分 类 号：O41[理学—理论物理]