<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-19T03:24:12.052818400Z</responseDate><request verb="GetRecord" identifier="oai:opus.uleth.ca:10133/3729" metadataPrefix="dim">https://opus.uleth.ca/server/oai/request</request><GetRecord><record><header><identifier>oai:opus.uleth.ca:10133/3729</identifier><datestamp>2015-11-04T22:56:41Z</datestamp><setSpec>com_10133_3346</setSpec><setSpec>com_10133_1</setSpec><setSpec>com_10133_296</setSpec><setSpec>col_10133_3347</setSpec><setSpec>col_10133_298</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="supervisor">Rice, Jacqueline E.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author">Law, Jayati J.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author">University of Lethbridge. Faculty of Arts and Science</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2015-08-27T21:45:54Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2015-08-27T21:45:54Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued">2015</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://hdl.handle.net/10133/3729</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">Reversible computing has been theoretically shown to be an efficient approach over conventional computing due to the property of virtually zero power dissipation. A major concern in reversible circuits is the number of circuit lines or qubits which are a limited resource. In this thesis we explore the line reduction problem using a decision diagram based synthesis approach and introduce a line reduction algorithm— Minimization of lines using Ordered Kronecker Functional Decision Diagrams (MOKFDD). The algorithm uses a new sub-circuit for a positive Davio node structure in addition to the existing node structures. We also present a shared node ordering for OKFDDs. OKFDDs are a combination of OBDDs and OFDDs. The experimental results shows that the number of circuit lines and quantum cost can be reduced with our proposed approach.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="sponsorship" lang="en_US">NSERC</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">en_CA</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Lethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Science</dim:field>
   <dim:field mdschema="dc" element="publisher" qualifier="faculty" lang="en_US">Arts and Science</dim:field>
   <dim:field mdschema="dc" element="publisher" qualifier="department" lang="en_US">Department of Mathematics and Computer Science</dim:field>
   <dim:field mdschema="dc" element="relation" qualifier="ispartofseries" lang="en_US">Thesis (University of Lethbridge. Faculty of Arts and Science)</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Ordered Kronecker Functional Decision Diagrams</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">OKFDDs</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">reversible logic</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Boolean function</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">logic synthesis</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">line reduction</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Minimization of lines in reversible circuits</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Thesis</dim:field>
   <dim:field mdschema="dc" element="degree" qualifier="level" lang="en_US">Masters</dim:field>
   <dim:field mdschema="dc" element="proquest" qualifier="subject" lang="en_US">0984</dim:field>
   <dim:field mdschema="dc" element="proquest" qualifier="subject" lang="en_US">0544</dim:field>
   <dim:field mdschema="dc" element="proquestyes" lang="en_US">Yes</dim:field>
   <dim:field mdschema="dc" element="embargo" lang="en_US">No</dim:field>
   <dim:field mdschema="others" element="access-status">open.access</dim:field>
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