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Quantum Information Theory: Classical Communication Over Quantum Channels


Cortese, John Anthony (2004) Quantum Information Theory: Classical Communication Over Quantum Channels. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/V68W-YK95.


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
Additional Information:John Anthony Cortese Author earned his 1st PhD from Caltech in Electrical Engineering in 1995.
Record Number:CaltechETD:etd-02172004-173217
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:649
Deposited By: Imported from ETD-db
Deposited On:18 Feb 2004
Last Modified:06 Jan 2021 00:59

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