Citation
Gottesman, Daniel Eric (1997) Stabilizer Codes and Quantum Error Correction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rzr7-dt72. https://resolver.caltech.edu/CaltechETD:etd-07162004-113028
Abstract
Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states. The field of quantum error correction has developed to meet this challenge. A group-theoretical structure and associated subclass of quantum codes, the stabilizer codes, has proved particularly fruitful in producing codes and in understanding the structure of both specific codes and classes of codes. I will give an overview of the field of quantum error correction and the formalism of stabilizer codes. In the context of stabilizer codes, I will discuss a number of known codes, the capacity of a quantum channel, bounds on quantum codes, and fault-tolerant quantum computation
| Item Type: | Thesis (Dissertation (Ph.D.)) | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subject Keywords: | (Physics) ; quantum error-correcting codes | ||||||||
| Degree Grantor: | California Institute of Technology | ||||||||
| Division: | Physics, Mathematics and Astronomy | ||||||||
| Major Option: | Physics | ||||||||
| Thesis Availability: | Public (worldwide access) | ||||||||
| Research Advisor(s): |
| ||||||||
| Group: | Caltech Theory | ||||||||
| Thesis Committee: |
| ||||||||
| Defense Date: | 21 May 1997 | ||||||||
| Non-Caltech Author Email: | dgottesman (AT) perimeterinstitute.ca | ||||||||
| Funders: |
| ||||||||
| Record Number: | CaltechETD:etd-07162004-113028 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechETD:etd-07162004-113028 | ||||||||
| DOI: | 10.7907/rzr7-dt72 | ||||||||
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 2900 | ||||||||
| Collection: | CaltechTHESIS | ||||||||
| Deposited By: | Imported from ETD-db | ||||||||
| Deposited On: | 16 Jul 2004 | ||||||||
| Last Modified: | 14 Jul 2023 19:53 |
Thesis Files
![[img]](https://thesis.library.caltech.edu/style/images/fileicons/application_pdf.png)
|
PDF (Thesis)
- Updated Version
See Usage Policy. 564kB | |
|
PDF (Errata)
- Erratum
See Usage Policy. 67kB |
Repository Staff Only: item control page
