Demonstration of quantum computation and error correction with a tesseract code

Fuente: arXiv
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Hauptverfasser: Reichardt, Ben W., Aasen, David, Chao, Rui, Chernoguzov, Alex, van Dam, Wim, Gaebler, John P., Gresh, Dan, Lucchetti, Dominic, Mills, Michael, Moses, Steven A., Neyenhuis, Brian, Paetznick, Adam, Paz, Andres, Siegfried, Peter E., da Silva, Marcus P., Svore, Krysta M., Wang, Zhenghan, Zanner, Matt
Format: Preprint
Veröffentlicht: 2024
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author Reichardt, Ben W.
Aasen, David
Chao, Rui
Chernoguzov, Alex
van Dam, Wim
Gaebler, John P.
Gresh, Dan
Lucchetti, Dominic
Mills, Michael
Moses, Steven A.
Neyenhuis, Brian
Paetznick, Adam
Paz, Andres
Siegfried, Peter E.
da Silva, Marcus P.
Svore, Krysta M.
Wang, Zhenghan
Zanner, Matt
author_facet Reichardt, Ben W.
Aasen, David
Chao, Rui
Chernoguzov, Alex
van Dam, Wim
Gaebler, John P.
Gresh, Dan
Lucchetti, Dominic
Mills, Michael
Moses, Steven A.
Neyenhuis, Brian
Paetznick, Adam
Paz, Andres
Siegfried, Peter E.
da Silva, Marcus P.
Svore, Krysta M.
Wang, Zhenghan
Zanner, Matt
contents A critical milestone for quantum computers is to demonstrate fault-tolerant computation that outperforms computation on physical qubits. The tesseract subsystem color code protects four logical qubits in 16 physical qubits, to distance four. Using the tesseract code on Quantinuum's trapped-ion quantum computers, we prepare high-fidelity encoded graph states on up to 12 logical qubits, beneficially combining for the first time fault-tolerant error correction and computation. We also protect encoded states through up to five rounds of error correction. Using performant quantum software and hardware together allows moderate-depth logical quantum circuits to have an order of magnitude less error than the equivalent unencoded circuits.
format Preprint
id arxiv_https___arxiv_org_abs_2409_04628
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Demonstration of quantum computation and error correction with a tesseract code
Reichardt, Ben W.
Aasen, David
Chao, Rui
Chernoguzov, Alex
van Dam, Wim
Gaebler, John P.
Gresh, Dan
Lucchetti, Dominic
Mills, Michael
Moses, Steven A.
Neyenhuis, Brian
Paetznick, Adam
Paz, Andres
Siegfried, Peter E.
da Silva, Marcus P.
Svore, Krysta M.
Wang, Zhenghan
Zanner, Matt
Quantum Physics
A critical milestone for quantum computers is to demonstrate fault-tolerant computation that outperforms computation on physical qubits. The tesseract subsystem color code protects four logical qubits in 16 physical qubits, to distance four. Using the tesseract code on Quantinuum's trapped-ion quantum computers, we prepare high-fidelity encoded graph states on up to 12 logical qubits, beneficially combining for the first time fault-tolerant error correction and computation. We also protect encoded states through up to five rounds of error correction. Using performant quantum software and hardware together allows moderate-depth logical quantum circuits to have an order of magnitude less error than the equivalent unencoded circuits.
title Demonstration of quantum computation and error correction with a tesseract code
topic Quantum Physics
url https://arxiv.org/abs/2409.04628