Momentum Subspaces in Gapped Relativistic Quantum Field Theories as Codespaces for Quantum Error Correction
Abstract/Contents
- Abstract
- This thesis reports a study of the quantum error correction properties of quantum field theory through the investigation of codespaces comprising momentum states subject to the error of spatial erasure. A formulation of code quality that measures state distinguishability using expectation values of localized operators is proposed, after which it is evaluated in the context of gapped relativistic theories under the limit of a small erasure region. An analytic bound on the code quality is derived for free theory as a function of the size of erasure and momentum, while an estimate of the code quality is provided for general interacting theories, with substantial progress towards a precise bound. A discussion of relations with the information structure of quantum field theory and possible directions for further research is provided.
Description
| Type of resource | text |
|---|---|
| Date created | May 14, 2021 |
Creators/Contributors
| Author | Lee, Yu-Tse |
|---|---|
| Degree granting institution | Stanford University, Department of Physics |
| Primary advisor | Hayden, Patrick |
| Advisor | Qi, Xiaoliang |
Subjects
| Subject | Quantum error correction |
|---|---|
| Subject | Quantum field theory |
| Genre | Thesis |
Bibliographic information
Access conditions
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Preferred citation
- Preferred Citation
- Lee, Yu-Tse. (2021). Momentum Subspaces in Gapped Relativistic Quantum Field Theories as Codespaces for Quantum Error Correction. Stanford Digital Repository. Available at: https://purl.stanford.edu/rj538yh1562
Collection
Undergraduate Theses, Department of Physics
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- Contact
- yutselee@stanford.edu
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