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i List of Figures iv List of Tables ix Chapter 1: INTRODUCTION 1 Chapter 2: BACKGROUND AND LITERATURE REVIEW ON BASIC REVERSIBLE GATES 20 Chapter 3: REALIZATION OF REVERSIBLE GATES IN VARIOUS TECHNOLOGIES OTHER THAN QUANTUM CIRCUIT TECHNOLOGY 56 Chapter 4: REVERSIBLE QUANTUM CASCADES AND THEIR SYNTHESIS  112 Chapter 5: SEARCH ALGORITHMS VERSUS SEQUENTIAL ALGORITHMS FOR BINARY REVERSIBLE CASCADE SYNTHESIS WITH NO ANCILLA BITS  134 Chapter 6: SYNTHESIS OF REVERSIBLE CASCADES FROM INCOMPLETE AND RELATIONAL SPECIFICATIONS 186 Chapter 7: CONCLUSIONS 236 References 243 Appendix A: Glossary 253

Synthesis of Reversible Functions Using Various Gate Libraries and Design Specifications