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Majorana zero modes (MZMs) in solid-state systems are building blocks for topological quantum computing. Experimentally feasible Majorana platforms require a large space of topologically non-trivial superconducting states, a well-controlled ground-state degeneracy, and easily detecting and manipulating MZMs. In this talk, I will show that Majorana vortex states in iron-based superconducting nanowires fulfill these desirable conditions. We find that when the magnetic field is oriented along [100], the multiple bands of Fe-based superconductors can have controlled competition or cooperation mechanisms in the Majorana vortex phase transition due to the non-abelian gauge fields among the multiple bands. The competition and collaboration will reduce and enlarge the topological non-trivial regions respectively. The latter appears only in iron-based superconductors with magnetic fields along the [100] direction. We further proposed to realize Majorana qubits and the single- and two-qubit gates without ancillary MZMs which can be applied to the iron-based superconducting nanowire. Benefiting from the ancilla-free construction, we discover a geometric visualization method that can construct Clifford gates systematically with significant savings in physical operation costs.
Prof. Xin Liu got his B.S. degree from Nankai University and M.S. degree from Chern Institute of Mathematics, Tianjin. He received his Ph. D. from Texas A&M University in 2012. After graduation, he worked as a postdoctoral researcher at the Pennsylvania State University from 2012 to 2014 and Condensed Matter Theory Center at the University of Maryland from 2014-2015. He joined Huazhong University of Science and Technology in 2015.
Tencent meeting link: https://meeting.tencent.com/dm/IEEgbOTF8vAx
Meeting ID: 599 791 068