[1907.11157] Quantum Error Correction: An Introductory Guide
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.
July 26, 2019 Quantum Error Correction: An Introductory Guide Joschka Roffe arXiv:1907.11157v1 [quant-ph] 25 Jul 2019 Department of Physics & Astronomy, University of Sheffield, Sheffield, S3 7RH, United Kingdom Quantum error correction protocols will play a central role in the realisation of quantum…
related reading
- arXiv:quant-ph/0207170v1 30 Jul 2002arxiv.org
- 0602157.pdfarxiv.org
- [2503.10935] Bias-preserving and error-detectable entangling operations in a superconducting dual-rail systemarxiv.org
- [2601.20927] Entangling logical qubits without physical operationsarxiv.org
- [2511.17460] Improved error correction with leakage reduction units built into qubit measurement in a superconducting quantum processorarxiv.org
- Quantum computing for the very curiousquantum.country
- Making quantum error correction workresearch.google
- quantum-computation-and-quantum-information-nielsen-chuang.pdfprofmcruz.wordpress.com
- How the quantum search algorithm worksquantum.country
- A tutorial quantum interpreter in 150 lines of Lispstylewarning.com
- [2507.20100] Circuit simulation of readout process toward large-scale superconducting quantum circuitsarxiv.org
- A Course in Quantum Computing (for the Community College)lapastillaroja.net