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Open Quantum Systems Decoherence
How does Grover walk recognize the shape of crystal lattice?
arXiv
Authors: Chul Ki Ko, Norio Konno, Etsuo Segawa, Hyun Jae Yoo
Year
2017
Paper ID
44107
Status
Preprint
Abstract Read
~2 min
Abstract Words
105
Citations
N/A
Abstract
We consider the support of the limit distribution of the Grover walk on crystal lattices with the linear scaling. The orbit of the Grover walk is denoted by the parametric plot of the pseudo-velocity of the Grover walk in the wave space. The region of the orbit is the support of the limit distribution. In this paper, we compute the regions of the orbits for the triangular, hexagonal and kagome lattices. We show every outer frame of the support is described by an ellipse. The shape of the ellipse depends only on the realization of the fundamental lattice of the crystal lattice in mathbb{R}2.
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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 consider the support of the limit distribution of the Grover walk on crystal lattices with the linear scaling.
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