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Quantum Circuit Synthesis Using Group Decomposition And Hilbert Spaces, Michael S. Saraivanov

Dissertations and Theses

The exponential nature of Moore's law has inadvertently created huge data storage complexes that are scattered around the world. Data elements are continuously being searched, processed, erased, combined and transferred to other storage units without much regard to power consumption. The need for faster searches and power efficient data processing is becoming a fundamental requirement. Quantum computing may offer an elegant solution to speed and power through the utilization of the natural laws of quantum mechanics. Therefore, minimal cost quantum circuit implementation methodologies are greatly desired.

This thesis explores the decomposition of group functions and the Walsh spectrum for implementing …