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Trapped Ion Quantum Computing
Decoherence on Staggered Quantum Walks
arXiv
Authors: R. A. M. Santos, F. L. Marquezino
Year
2021
Paper ID
40947
Status
Preprint
Abstract Read
~2 min
Abstract Words
104
Citations
N/A
Abstract
Decoherence phenomenon has been widely studied in different types of quantum walks. In this work we show how to model decoherence inspired by percolation on staggered quantum walks. Two models of unitary noise are described: breaking polygons and breaking vertices. The evolution operators subject to these noises are obtained and the equivalence to the coined quantum walk model is presented. Further, we numerically analyze the effect of these decoherence models on the two-dimensional grid of 4-cliques. We examine how these perturbations affect the quantum walk based search algorithm in this graph and how expanding the tessellations intersection can make it more robust against decoherence.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
- It adds a 2021 reference point for readers tracking recent quantum research.
- Decoherence phenomenon has been widely studied in different types of quantum walks.
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