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Stabilizer Codes and Quantum Error Correction


Gottesman, Daniel Eric (1997) Stabilizer Codes and Quantum Error Correction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/rzr7-dt72.


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):
  • Preskill, John P.
Group:Caltech Theory
Thesis Committee:
  • Preskill, John P. (chair)
  • Kimble, H. Jeff
  • Koonin, Steven E.
  • Prince, Thomas A.
Defense Date:21 May 1997
Non-Caltech Author Email:dgottesman (AT)
Funding AgencyGrant Number
NSF Graduate Research FellowshipUNSPECIFIED
U.S. Department of EnergyDE-FG03-92-ER40701
Record Number:CaltechETD:etd-07162004-113028
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2900
Deposited By: Imported from ETD-db
Deposited On:16 Jul 2004
Last Modified:14 Jul 2023 19:53

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