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Open Quantum Systems Decoherence

An Infinite Family of Circulant Graphs with Perfect State Transfer in Discrete Quantum Walks

arXiv

Authors: Hanmeng Zhan

Year

2017

Paper ID

44478

Status

Preprint

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~2 min

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Abstract

We study perfect state transfer in Kendon's model of discrete quantum walks. In particular, we give a characterization of perfect state transfer purely in terms of the graph spectra, and construct an infinite family of 4-regular circulant graphs that admit perfect state transfer. Prior to our work, the only known infinite families of examples were variants of cycles and diamond chains.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We study perfect state transfer in Kendon's model of discrete quantum walks.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.06703 [2] arXiv https://arxiv.org/abs/1707.06703 [3] Publisher https://arxiv.org/abs/1707.06703

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