

Advisor: H Brandt
Key words: quantum information processing, quantum computing, quantum cryptography, quantum control theory, quantum communication, geometry of quantum computation, quantum pattern recognition
Mathematical physics-based analyses will be applied to problems of quantum information processing including quantum computing, quantum communication, and quantum cryptography. Problem areas will include, but are not limited to (1) quantum information-theoretic analyses of quantum cryptographic systems; (2) analyses of operating characteristics of qubit devices, including quantum computers; and (3) quantum control theory applied to quantum information processing systems; (4) differential geometric approaches to quantum computer analysis; and (5) quantum information theoretic approaches to pattern recognition.