Quantum error correction: an introductory guide

By Joschka Roffe. Contemporary physics (Print), 2019

422 citations recorded by the source corpus.

Quantum error correction protocols will play a central role in the realisation of quantum computing; the choice of error correction code will influence the full quantum computing stack, from the layout of qubits at the physical level to gate compilation strategies at the software level. As such, familiarity with quantum coding is an essential prerequisite for the understanding of current and future quantum computing architectures. In this review, we provide an introductory guide to the theory and implementation of quantum error correction codes. Where possible, fundamental concepts are described using the simplest examples of detection and correction codes, the working of which can be verified by hand. We outline the construction and operation of the surface code, the most widely pursued error correction protocol for experiment. Finally, we discuss issues that arise in the practical implementation of the surface code and other quantum error correction codes.

Subfields: Artificial Intelligence, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/0f8942b2908661eaefbc130adec48ae2270a0efb

How researchers see this paper

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In Artificial Intelligence

1. M. Cerezo
2. Patrick J. Coles
3. Lukasz Cincio
4. Andrew J. Daley
5. Hsin-Yuan Huang
6. I. Bloch
7. C. Kokail
8. Matthias Troyer

In Electrical and Electronic Engineering

1. Shuai Nie
2. M. Cerezo
3. Ahan Kak
4. Patrick J. Coles
5. Ian F. Akyildiz
6. S. Flannigan
7. Peter Zoller
8. I. Bloch

Citations in the corpus

• 6G and Beyond: The Future of Wireless Communications Systems (2020, background): “Quantum Error Correction: There are three major challenges faced by error correction techniques for qubits [199].”
• Challenges and opportunities in quantum machine learning (2022, background): “Moreover, we can expect that the eventual advent of practical quantum error correction [24] and quantum memories [25] will allow us to store quantum data on quantum computers themselves.”
• Practical quantum advantage in quantum simulation (2022, methodology): “This form of digital quantum computing provides the possibility to perform error correction 17 on imperfect implementations of the gates, with the potential for fault-tolerant operations enabling large-scale quantum computations.”