Doctoral Dissertations


In this dissertation a number of investigations were conducted on ballistic quantum networks in the mesoscopic range. In this regime, the wave nature of electron transport under the influence of transverse magnetic fields leads to interesting applications for digital logic and computing circuits. The work specifically looks at characterizing a few main areas that would be of interest to experimentalists who are working in nanostructure devices, and is organized as a series of papers. The first paper analyzes scaling relations and normal mode charge distributions for such circuits in both isolated and open (terminals attached) form. The second paper compares the flux-qubit nature of quantum networks to the well-established spintronics theory. The results found exactly contradict the conventional school of thought for what is required for quantum computation. The third paper investigates the requirements and limitations of extending the Thévenin theorem in classic electric circuits to ballistic quantum transport. The fourth paper outlines the optimal functionally complete set of quantum circuits that can completely satisfy all sixteen Boolean logic operations for two variables. "--Abstract, page iii.


Wu, Cheng Hsiao

Committee Member(s)

Beetner, Daryl G.
Drewniak, James L.
Fan, Jun, 1971-
Parris, Paul Ernest, 1954-


Electrical and Computer Engineering

Degree Name

Ph. D. in Computer Engineering


Missouri University of Science and Technology

Publication Date

Summer 2015

Journal article titles appearing in thesis/dissertation

  • Scaling relations and the role of bond-charge to the electron transmission through two coupled Aharonov-Bohm rings
  • Quantum network theory of computing with respect to entangled flux qubits and external perturbation
  • Thévenin equivalence in disorderless quantum networks
  • Sixteen two-variable Boolean functions from quantum networks of Aharonov-Bohm rings


xii, 129 pages

Note about bibliography

Includes bibliographic references.


© 2015 Casey Andrew Cain, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Electron transport
Nanostructured materials -- Electric properties
Nanostructures -- Electric properties
Quantum computers -- Design

Thesis Number

T 10752

Electronic OCLC #