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Stabilizer codes and quantum error correction

Citation

Gottesman, Daniel (1997) Stabilizer codes and quantum error correction. Dissertation (Ph.D.), California Institute of Technology. http://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: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):
  • Preskill, John P.
Thesis Committee:
  • Preskill, John P. (chair)
  • Kimble, H. Jeff
  • Koonin, Steven E.
  • Prince, Thomas A.
Defense Date:21 May 1997
Author Email:dgottesman (AT) perimeterinstitute.ca
Record Number:CaltechETD:etd-07162004-113028
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-07162004-113028
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:26 Dec 2012 02:55

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