First Advisor

Marek A. Perkowski

Date of Publication


Document Type


Degree Name

Doctor of Philosophy (Ph.D.) in Electrical and Computer Engineering


Electrical and Computer Engineering




Quantum computers, Quantum electronics, Logic circuits



Physical Description

1 online resource (xxiiii, 297 p.) : ill. (some col.)


The computing power in terms of speed and capacity of today's digital computers has improved tremendously in the last decade. This improvement came mainly due to a revolution in manufacturing technology by developing the ability to manufacture smaller devices and by integrating more devices on a single die. Further development of the current technology will be restricted by physical limits since it won't be possible to shrink devices beyond a certain size. Eventually, classical electrical circuits will encounter the barrier of quantum mechanics. The laws of quantum mechanics can be used for building computing systems that work on the principles of quantum mechanics. Thus quantum computing has drawn the interest of many top scientists in the world. Ion Trap technology is one of the most promising prospective technologies for building quantum computers. This technology allows the placement of qubits - ions in 1-, 2- and 3-dimensional regular structures. Development of efficient algorithms and methodologies for designing reversible quantum circuits is one of the most rapidly growing areas of research. All existing algorithms for synthesizing quantum circuits use multi-input Toffoli gates that have very high quantum cost in terms of electromagnetic pulses. They also do not use the opportunity of regular structures provided by the Ion Trap technology. In this thesis I present a completely new methodology for synthesizing quantum circuits that use only small (3x3) Toffoli gates and new gate families that have similar properties and use regular structures. These methods are for both binary and multiple valued quantum circuits. All my methods require adding some limited number of ancilla qudits [sic] but dramatically decrease the quantum cost of the synthesized circuits. I also present a new family of gates called "D-gates" that allows synthesis of quantum and reversible logic functions using structures called layered diagrams. The designed circuits can be directly mapped to a Quantum Logic Array implemented using the Ion Trap technology.


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Portland State University. Dept. of Electrical and Computer Engineering

Persistent Identifier