Resource overheads and attainable rates for trapped-ion lattice surgery

Leone, Hudson; Le, Thinh; Srikara, S.; Devitt, Simon

Resource overheads and attainable rates for trapped-ion lattice surgery

Jun 26, 2024

18 pages

e-Print:

2406.18764 [quant-ph]

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Abstract: (arXiv)

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 \mu s

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.

Note:

18 pages, 11 figures, 3 tables

References(126)

Figures(9)

[1]

Trapped-ion quantum computing: Progress and challenges

Colin D. Bruzewicz
(
- MIT, Lincoln Lab
)
,
John Chiaverini
(
- MIT, Lincoln Lab
)
,
Robert McConnell
(
- MIT, Lincoln Lab
)
,
Jeremy M. Sage
(
- MIT, Lincoln Lab
)

- Appl.Phys.Rev. 6 (2019) 2, 021314
•
DOI:
- 10.1063/1.5088164

[1]

Trapped-ion quantum computing: Progress and challenges

Colin D. Bruzewicz
(
- MIT, Lincoln Lab
)
,
John Chiaverini
(
- MIT, Lincoln Lab
)
,
Robert McConnell
(
- MIT, Lincoln Lab
)
,
Jeremy M. Sage
(
- MIT, Lincoln Lab
)

- Appl.Phys.Rev. 6 (2019) 2, 021314
•
DOI:
- 10.1063/1.5088164

[2]

Blueprint for a microwave trapped ion quantum computer

Bjoern Lekitsch
(
- Sussex U.
)
,
Sebastian Weidt
(
- Sussex U.
)
,
Austin G. Fowler
(
- Unlisted, US
)
,
Klaus Mølmer
(
- Aarhus U.
)
,
Simon J. Devitt
(
- Wako, RIKEN and
- Sungkyunkwan U.
)

et al.

- Sci.Adv. 3 (2017) 2, 1601540
•
DOI:
- 10.1126/sciadv.1601540

[2]

Klaus Mølmer

Simon J. Devitt

DOI:
- 10.1126/sciadv

[3]

Photonic Architecture for Scalable Quantum Information Processing in Diamond

Kae Nemoto
(
- NII, Tokyo
)
,
Michael Trupke
(
- TU Vienna
)
,
Simon J. Devitt
(
- NII, Tokyo
)
,
Ashley M. Stephens
(
- NII, Tokyo
)
,
Burkhard Scharfenberger
(
- NII, Tokyo
)

et al.

- Phys.Rev.X 4 (2014) 3, 031022
•
DOI:
- 10.1103/PhysRevX.4.031022

[3]

Photonic Architecture for Scalable Quantum Information Processing in Diamond

Kae Nemoto
(
- NII, Tokyo
)
,
Michael Trupke
(
- TU Vienna
)
,
Simon J. Devitt
(
- NII, Tokyo
)
,
Ashley M. Stephens
(
- NII, Tokyo
)
,
Burkhard Scharfenberger
(
- NII, Tokyo
)

et al.

- Phys.Rev.X 4 (2014) 3, 031022
•
DOI:
- 10.1103/PhysRevX.4.031022

[4]

Quantum Error Correction: An Introductory Guide

Joschka Roffe
(
- Sheffield U.
)

- Contemp.Phys. 60 (2019) 3, 226-245
•
e-Print:
- 1907.11157
•
DOI:
- 10.1080/00107514.2019.1667078

[5]

Deterministic teleportation of a quantum gate between two logical qubits

Kevin S. Chou
(
- Yale U.
)
,
Jacob Z. Blumoff
(
- Yale U. and
- Hughes Res. Labs, Malibu
)
,
Christopher S. Wang
(
- Yale U.
)
,
Philip C. Reinhold
(
- Yale U.
)
,
Christopher J. Axline
(
- Yale U.
)

et al.

- Nature 561 (2018) 7723, 368-373
•
DOI:
- 10.1038/s41586-018-0470-y

[5]

Deterministic teleportation of a quantum gate between two logical qubits

Kevin S. Chou
(
- Yale U.
)
,
Jacob Z. Blumoff
(
- Yale U. and
- Hughes Res. Labs, Malibu
)
,
Christopher S. Wang
(
- Yale U.
)
,
Philip C. Reinhold
(
- Yale U.
)
,
Christopher J. Axline
(
- Yale U.
)

et al.

- Nature 561 (2018) 7723, 368-373
•
DOI:
- 10.1038/s41586-018-0470-y

[6]

Purification of noisy entanglement and faithful teleportation via noisy channels

Charles H. Bennett
(
- IBM Watson Res. Ctr.
)
,
Gilles Brassard
(
- Montreal U.
)
,
Sandu Popescu
(
- Tel Aviv U.
)
,
Benjamin Schumacher
(
- Kenyon Coll.
)
,
John A. Smolin
(
- UCLA
)

et al.

- Phys.Rev.Lett. 76 (1996) 722-725
•
e-Print:
- quant-ph/9511027
•
DOI:
- 10.1103/PhysRevLett.76.722

[7]

Surface codes: Towards practical large-scale quantum computation

- Phys.Rev.A 86 (2012) 3, 032324
•
e-Print:
- 1208.0928
•
DOI:
- 10.1103/physreva.86.032324

[7]

Surface codes: Towards practical large-scale quantum computation

- Phys.Rev.A 86 (2012) 3, 032324
•
e-Print:
- 1208.0928
•
DOI:
- 10.1103/physreva.86.032324

[8]

Fault-tolerant thresholds for quantum error correction with the surface code

Ashley M. Stephens
(
- NII, Tokyo
)

- Phys.Rev.A 89 (2014) 2, 022321
•
DOI:
- 10.1103/PhysRevA.89.022321

[8]

89.022321

Ashley M. Stephens

DOI:
- 10.1103/PhysRevA

[9]

Ultrahigh Error Threshold for Surface Codes with Biased Noise

David K. Tuckett
(
- Sydney U.
)
,
Stephen D. Bartlett
(
- Sydney U.
)
,
Steven T. Flammia
(
- Sydney U. and
- MIT
)

- Phys.Rev.Lett. 120 (2018) 5, 050505
•
DOI:
- 10.1103/PhysRevLett.120.050505

[9]

Ultrahigh Error Threshold for Surface Codes with Biased Noise

David K. Tuckett
(
- Sydney U.
)
,
Stephen D. Bartlett
(
- Sydney U.
)
,
Steven T. Flammia
(
- Sydney U. and
- MIT
)

- Phys.Rev.Lett. 120 (2018) 5, 050505
•
DOI:
- 10.1103/PhysRevLett.120.050505

[10]

A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery

Daniel Litinski
(
- Freie U., Berlin (main)
)

- Quantum 3 (2019) 128
•
e-Print:
- 1808.02892
•
DOI:
- 10.22331/q-2019-03-05-128

[11]

Three-dimensional surface codes: Transversal gates and fault-tolerant architectures

- Phys.Rev.A 100 (2019) 1, 012312
•
DOI:
- 10.1103/PhysRevA.100.012312

[11]

Three-dimensional surface codes: Transversal gates and fault-tolerant architectures

- Phys.Rev.A 100 (2019) 1, 012312
•
DOI:
- 10.1103/PhysRevA.100.012312

[12]

Surface code quantum computing by lattice surgery

- New J.Phys. 14 123011
•
e-Print:
- 1111.4022
•
DOI:
- 10.1088/1367-2630/14/12/123011

[13]

Joshua Ramette, Josiah Sinclair

Nikolas P. Breuckmann

[14]

Lattice Surgery for Dummies

e-Print:
- 2404.13202

[15]

Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects

C. Monroe
(
- Maryland U., College Park
)
,
R. Raussendorf
(
- British Columbia U.
)
,
A. Ruthven
(
- British Columbia U.
)
,
K.R. Brown
(
- Georgia Tech., Atlanta
)
,
P. Maunz
(
- Duke U. (main)
)

et al.

- Phys.Rev.A 89 (2014) 2, 022317
•
DOI:
- 10.1103/PhysRevA.89.022317

[15]

Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects

C. Monroe
(
- Maryland U., College Park
)
,
R. Raussendorf
(
- British Columbia U.
)
,
A. Ruthven
(
- British Columbia U.
)
,
K.R. Brown
(
- Georgia Tech., Atlanta
)
,
P. Maunz
(
- Duke U. (main)
)

et al.

- Phys.Rev.A 89 (2014) 2, 022317
•
DOI:
- 10.1103/PhysRevA.89.022317

[16]

Jwo-Sy Chen, Erik Nielsen, Matthew Ebert, Volkan Inlek, Kenneth Wright, Vandiver Chaplin, Andrii Maksymov, Eduardo Páez, Amrit Poudel, Peter Maunz, and John Gamble. Benchmarking a trapped-ion quantum computer with 29 algorithmic qubits

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