Perfect State Transfer on Weighted Abelian Cayley Graphs

Perfect State Transfer on Weighted Abelian Cayley Graphs

Recently, there are extensive studies on perfect state transfer (PST for short) on graphs due to their significant applications in quantum information processing and quantum computations. However, there is not any general characterization of graphs that have PST in literature. In this paper, the aut...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2021-07, Vol.42 (4), p.625-642
Hauptverfasser: Cao, Xiwang, Feng, Keqin, Tan, Ying-Ying
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Data processing
Graphs
Mathematics
Mathematics and Statistics
Quantum computing
Quantum phenomena
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Zusammenfassung:Recently, there are extensive studies on perfect state transfer (PST for short) on graphs due to their significant applications in quantum information processing and quantum computations. However, there is not any general characterization of graphs that have PST in literature. In this paper, the authors present a depiction on weighted abelian Cayley graphs having PST. They give a unified approach to describe the periodicity and the existence of PST on some specific graphs.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-021-0283-4