Quantum State Transfer on a Class of Circulant Graphs

2019/01/07 by Pal, Hiranmoy · 2 citations
#05C50 #15A16 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.01999

Abstract

We study the existence of quantum state transfer on non-integral circulant graphs. We find that continuous time quantum walks on quantum networks based on certain circulant graphs with 2^k (k∈ℤ) vertices exhibit pretty good state transfer when there is no external dynamic control over the system. We generalize few previously known results on pretty good state transfer on circulant graphs, and this way we re-discover all integral circulant graphs on 2^k vertices exhibiting perfect state transfer.

Cited by

• q-Laplacian State Transfer on Graphs with Involutions
• State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs

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