期刊
QUANTUM INFORMATION PROCESSING
卷 18, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/s11128-019-2485-1
关键词
Quantum walks; Supersymmetry; Witten index; Split-step quantum walks
资金
- JSPS KAKENHI [JP18K03327]
- Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University
Chiral symmetric discrete-time quantum walks possess supersymmetry, and their associated Witten indices can be naturally defined. The Witten index is known to give a lower bound for the number of topologically protected bound states. The purpose of this paper is to give a complete classification of the Witten index for a one-dimensional split-step quantum walk. It turns out that the Witten index of this model exhibits a striking similarity to that of a Dirac particle model in supersymmetric quantum mechanics.
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