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ENTANGLEMENT-ASSISTED CODING THEORY.
by
Min-Hsiu Hsieh
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Ful¯llment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(ELECTRICAL ENGINEERING)
August 2008
Copyright 2008 Min-Hsiu Hsieh
Object Description
| Title | Entanglement-assisted coding theory |
| Author | Hsieh, Min-Hsiu |
| Author email | minhsiuh@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Electrical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2008 |
| Date submitted | 2008 |
| Restricted until | Unrestricted |
| Date published | 2008-07-24 |
| Advisor (committee chair) | Brun, Todd A. |
| Advisor (committee member) |
Lidar, Daniel Zanardi, Paolo |
| Abstract | In my thesis, I present a general method for studying quantum error correction codes (QECCs). This method not only provides us an intuitive way of understanding QECCs, but also leads to several extensions of standard QECCs, including the operator quantum error correction (OQECC),the entanglement-assisted quantum error correction (EAQECC). Furthermore, we can combine both OQECC and EAQECC into a unified formalism, the entanglement-assisted operator formalism. This provides great flexibility of designing QECCs for different applications. Finally, I show that the performance of quantum low-density parity-check codes will be largely improved using entanglement-assisted formalism. |
| Keyword | quantum error-correcting code; entanglement |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m1390 |
| Contributing entity | University of Southern California |
| Rights | Hsieh, Min-Hsiu |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | cisadmin@dots.usc.edu |
| Filename | etd-Hsieh-20080724 |
| Archival file | uscthesesreloadpub_Volume17/etd-Hsieh-20080724.pdf |
Description
| Title | Page 1 |
| Contributing entity | University of Southern California |
| Repository email | cisadmin@dots.usc.edu |
| Full text | ENTANGLEMENT-ASSISTED CODING THEORY. by Min-Hsiu Hsieh A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Ful¯llment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (ELECTRICAL ENGINEERING) August 2008 Copyright 2008 Min-Hsiu Hsieh |
