Demonstration of quantum computation and error correction with a tesseract code

• URL: http://arxiv.org/abs/2409.04628v1
• Date: Fri, 6 Sep 2024 21:36:49 GMT
• Title: Demonstration of quantum computation and error correction with a tesseract code
• Authors: Ben W. Reichardt, David Aasen, Rui Chao, Alex Chernoguzov, Wim van Dam, John P. Gaebler, Dan Gresh, Dominic Lucchetti, Michael Mills, Steven A. Moses, Brian Neyenhuis, Adam Paetznick, Andres Paz, Peter E. Siegfried, Marcus P. da Silva, Krysta M. Svore, Zhenghan Wang, Matt Zanner,
• Abstract summary: The tesseract subsystem color code protects four logical qubits in 16 physical qubits, to distance four. 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.
• Score: 2.5843915259402834
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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