Optimal Routing Protocols for Reconfigurable Atom Arrays

Fuente: arXiv
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Bibliographic Details
Main Authors: Constantinides, Nathan, Fahimniya, Ali, Devulapalli, Dhruv, Bluvstein, Dolev, Gullans, Michael J., Porto, J. V., Childs, Andrew M., Gorshkov, Alexey V.
Format: Preprint
Published: 2024
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author Constantinides, Nathan
Fahimniya, Ali
Devulapalli, Dhruv
Bluvstein, Dolev
Gullans, Michael J.
Porto, J. V.
Childs, Andrew M.
Gorshkov, Alexey V.
author_facet Constantinides, Nathan
Fahimniya, Ali
Devulapalli, Dhruv
Bluvstein, Dolev
Gullans, Michael J.
Porto, J. V.
Childs, Andrew M.
Gorshkov, Alexey V.
contents Neutral atom arrays have emerged as a promising platform for both analog and digital quantum processing. Recently, devices capable of reconfiguring arrays during quantum processes have enabled new applications for these systems. Atom reconfiguration, or routing, is the core mechanism for programming circuits; optimizing this routing can increase processing speeds, reduce decoherence, and enable efficient implementations of highly non-local connections. In this work, we investigate routing models applicable to state-of-the-art neutral atom systems. With routing steps that can operate on multiple atoms in parallel, we prove that current designs require $Ω(\sqrt N \log N)$ steps to perform certain permutations on 2D arrays with $N$ atoms and provide a protocol that achieves routing in $\mathcal O(\sqrt N \log N)$ steps for any permutation. We also propose a simple experimental upgrade and show that it would reduce the routing cost to $Θ(\log N)$ steps.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05061
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimal Routing Protocols for Reconfigurable Atom Arrays
Constantinides, Nathan
Fahimniya, Ali
Devulapalli, Dhruv
Bluvstein, Dolev
Gullans, Michael J.
Porto, J. V.
Childs, Andrew M.
Gorshkov, Alexey V.
Quantum Physics
Neutral atom arrays have emerged as a promising platform for both analog and digital quantum processing. Recently, devices capable of reconfiguring arrays during quantum processes have enabled new applications for these systems. Atom reconfiguration, or routing, is the core mechanism for programming circuits; optimizing this routing can increase processing speeds, reduce decoherence, and enable efficient implementations of highly non-local connections. In this work, we investigate routing models applicable to state-of-the-art neutral atom systems. With routing steps that can operate on multiple atoms in parallel, we prove that current designs require $Ω(\sqrt N \log N)$ steps to perform certain permutations on 2D arrays with $N$ atoms and provide a protocol that achieves routing in $\mathcal O(\sqrt N \log N)$ steps for any permutation. We also propose a simple experimental upgrade and show that it would reduce the routing cost to $Θ(\log N)$ steps.
title Optimal Routing Protocols for Reconfigurable Atom Arrays
topic Quantum Physics
url https://arxiv.org/abs/2411.05061