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Quantum Information Processing
Erschienen in: Quantum Information Processing 12/2019

01.12.2019

The Witten index for 1D supersymmetric quantum walks with anisotropic coins

verfasst von: Akito Suzuki, Yohei Tanaka

Erschienen in: Quantum Information Processing | Ausgabe 12/2019

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Abstract

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.
Vorheriger Artikel An infinite family of circulant graphs with perfect state transfer in discrete quantum walks
Nächster Artikel Enhancing distributed functional monitoring with quantum protocols

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Fußnoten
1
That is to say, \(\pm 1\) are not accumulation points of the spectrum of U.
 
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Metadaten
Titel
The Witten index for 1D supersymmetric quantum walks with anisotropic coins
verfasst von
Akito Suzuki
Yohei Tanaka
Publikationsdatum
01.12.2019
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 12/2019
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2485-1

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