CaltechTHESIS
  A Caltech Library Service

Quantum information theory: classical communication over quantum channels

Citation

Cortese, John Anthony (2004) Quantum information theory: classical communication over quantum channels. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-02172004-173217

Abstract

This thesis studies classical communication over quantum channels. Chapter 1 describes an algebraic technique which extends several previously known qubit channel capacity results to the qudit quantum channel case. Chapter 2 derives a formula for the relative entropy function of two qubit density matrices in terms of their Bloch vectors. The application of the Bloch vector relative entropy formula to the determination of Holevo-Schumacher-Westmoreland (HSW) capacities for qubit quantum channels is discussed. Chapter 3 outlines several numerical simulation results which support theoretical conclusions and conjectures discussed in Chapters 1 and 2. Chapter 4 closes the thesis with comments, examples and discussion on the additivity of Holevo Chi and the HSW channel capacity.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Quantum Information Channel Capacity Entropy
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)
  • Mabuchi, Hideo
  • Kimble, H. Jeff
  • Thorne, Kip S.
Defense Date:3 October 2003
Record Number:CaltechETD:etd-02172004-173217
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-02172004-173217
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:649
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:18 Feb 2004
Last Modified:26 Dec 2012 02:31

Thesis Files

[img]
Preview
PDF (thesis.pdf) - Final Version
See Usage Policy.

1208Kb

Repository Staff Only: item control page