Resource overheads and attainable rates for trapped-ion lattice surgery

Fuente: arXiv
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Auteurs principaux: Leone, Hudson, Le, Thinh, Srikara, S., Devitt, Simon
Format: Preprint
Publié: 2024
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author Leone, Hudson
Le, Thinh
Srikara, S.
Devitt, Simon
author_facet Leone, Hudson
Le, Thinh
Srikara, S.
Devitt, Simon
contents We present estimates for the number of ions needed to implement fault-tolerant lattice surgery between spatially separated trapped-ion surface codes. Additionally, we determine attainable lattice surgery rates given a number of dedicated ``communication ions" per logical qubit. Because our analysis depends heavily on the rate that syndrome extraction cycles take place, we survey the state-of the art and propose three possible cycle times between $10$ and $1000 μs$ that we could reasonably see realised provided certain technological milestones are met. Consequently, our numerical results indicate that hundreds of resource ions will be needed for lattice surgery in the slowest case, while close to a hundred thousand will be needed in the fastest case. The main factor contributing to these prohibitive estimates is the limited rate that ions can be coupled across traps. Our results indicate an urgent need for optical coupling to improve by one or more orders of magnitude for trapped-ion quantum computers to scale.
format Preprint
id arxiv_https___arxiv_org_abs_2406_18764
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resource overheads and attainable rates for trapped-ion lattice surgery
Leone, Hudson
Le, Thinh
Srikara, S.
Devitt, Simon
Quantum Physics
We present estimates for the number of ions needed to implement fault-tolerant lattice surgery between spatially separated trapped-ion surface codes. Additionally, we determine attainable lattice surgery rates given a number of dedicated ``communication ions" per logical qubit. Because our analysis depends heavily on the rate that syndrome extraction cycles take place, we survey the state-of the art and propose three possible cycle times between $10$ and $1000 μs$ that we could reasonably see realised provided certain technological milestones are met. Consequently, our numerical results indicate that hundreds of resource ions will be needed for lattice surgery in the slowest case, while close to a hundred thousand will be needed in the fastest case. The main factor contributing to these prohibitive estimates is the limited rate that ions can be coupled across traps. Our results indicate an urgent need for optical coupling to improve by one or more orders of magnitude for trapped-ion quantum computers to scale.
title Resource overheads and attainable rates for trapped-ion lattice surgery
topic Quantum Physics
url https://arxiv.org/abs/2406.18764