Enhancing Fault-tolerant Quantum Computing through the Integration of Topological Error Correction and Concatenation Schemes
Abstract/Contents
- Abstract
- We explore a range of fault-tolerant quantum error correction schemes that employ concatenation of small error detection or correction codes with the three-dimensional cluster state. To combat errors at the circuit level, we propose fault-tolerant state preparation and decoding techniques that convert every such error into an erasure error, leveraging the cluster state's robustness against this type of error. Through our investigations, we identify a set of codes that support such a conversion, and we evaluate their performance against the standard circuit-level depolarization model. Our most successful scheme, which involves concatenation with a classical code, improves the threshold by $16.5% and reduces the spacetime overhead by $32% compared to the non-concatenated scheme, with both schemes operating under a physical error rate of $10^{-3} and achieving a logical error rate of $10^{-6}.
Description
| Type of resource | text |
|---|---|
| Publication date | May 12, 2023; May 12, 2023 |
Creators/Contributors
| Author | Li, Zhaoyi |
https://orcid.org/0000-0002-9746-9336
(unverified)
|
|---|---|---|
| Advisor | Hayden, Patrick |
https://orcid.org/0000-0002-3964-5602
(unverified)
|
| Advisor | Kim, Isaac |
https://orcid.org/0000-0001-7689-3157
(unverified)
|
| Thesis advisor | Hayden, Patrick |
https://orcid.org/0000-0002-3964-5602
(unverified)
|
| Thesis advisor | Stanford, Douglas | |
| Degree granting institution | Stanford University | |
| Department | Department of Physics |
Subjects
| Subject | Quantum error correction |
|---|---|
| Subject | Fault-tolerant computing |
| Subject | Concatenation |
| Genre | Text |
| Genre | Thesis |
Bibliographic information
| Related item | |
|---|---|
| DOI | https://doi.org/10.25740/sr785ns0338 |
| Location | https://purl.stanford.edu/sr785ns0338 |
Access conditions
- Use and reproduction
- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 4.0 International license (CC BY-NC).
Preferred citation
- Preferred citation
- Li, Z., Hayden, P., and Kim, I. (2023). Enhancing Fault-tolerant Quantum Computing through the Integration of Topological Error Correction and Concatenation Schemes. Stanford Digital Repository. Available at https://purl.stanford.edu/sr785ns0338. https://doi.org/10.25740/sr785ns0338.
Collection
Undergraduate Theses, Department of Physics
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- Contact
- ladmon@stanford.edu
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