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Topological Quantum Computing
Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary
arXiv
Authors: Ho Tat Lam, Yue Yu, Kwok Yip Szeto
Year
2015
Paper ID
27547
Status
Preprint
Abstract Read
~2 min
Abstract Words
90
Citations
N/A
Abstract
The topological phases in one-dimensional quantum walk can be classified by the coin parameters. By solving for the general exact solutions of bound states in one-dimensional quantum walk with boundaries specified by different coin parameters, we show that these bound states are Majorana modes with quasi-energy E=0,π. These modes are qualitatively different for different boundary conditions used. For two-boundary system with symmetric boundary conditions, the interaction energy between two Majorana bound states can be computed, as in the case of a finite wire. Suggestion of observing these modes are provided.
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- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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- The topological phases in one-dimensional quantum walk can be classified by the coin parameters.
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