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.
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)
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。
