In this thesis, classical computation is first introduced. Finite quantum systems are considered with D-dimensional Hilbert space, and position x and
momentum p taking values in Z(D) (the integers modulo D). An analytic rep resentation of finite quantum systems that use Theta function is presented and
considered. The first novel part of this thesis is contribution to study reversible
classical CNOT gates and their binary inputs and outputs with reversible cir cuits. Furthermore, a reversible classical Toffoli gates are considered, as well as
implementation of a Boolean expression with classical CNOT and Toffoli gates.
Reversible circuits with classical CNOT and Toffoli gates are also considered.
The second novel part of this thesis the study of quantum computation in
terms of CNOT and Toffoli gates. Analytic representations and their zeros
are considered, while zeros of the inputs and outputs for quantum CNOT and
Toffoli gates are studied. Also, approximate computation of their zeros on the
output are calculated. Finally, some quantum circuits are discussed.
i
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/18330 |
| Date | January 2019 |
| Creators | Abobakr, Mona R.H. |
| Contributors | Vourdas, Apostolos, Lei, Ci |
| Publisher | University of Bradford, School of Electrical Engineering and Computer Science |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Thesis, doctoral, PhD |
| Rights | <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>. |
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