The IASTED International Conference on
Nanotechnology and Applications
~NANA 2008~
September 29 – October 1, 2008
Crete, Greece
TUTORIAL SESSION
Nanostructure Realization of Quantum Computing
Abstract
This tutorial consists of seven chapters with contents indicated below.
[Chap.1]First, the motivation of quantum study in the nanometer rgime and the physical realities of quantum computing (QC) are considered. Limitations of sequential von Neumann-type computers, the coming quantum world, conceptions of QC, building blocks for QC, our choice of materials, and interactions for quantum logic and our choice are detailed.
[Chap.2]Then the history of QC is reviewed. Theoretical approaches are explained including prehistory, study of temporal evolution by Schrödinger's equation, ballistic reversible QC, atomic QC processes, applications of matrix algebra, and algorithmic implementations. The history of experimental approaches includes cavity quantum electrodynamics (CQED), ion traps, nuclear magnetic resonance (NMR) of spin array, superconducting states, linear optics, and optoelectronic interactions among quantum dots (QDs).
[Chap.3]The principles of QC are discussed in detail, including the wave/particle duality, quantum superposition, interference, quantum correlation that yields quantum entanglements, and the mechanism of quantum parallelism.
[Chap.4]Algorithmic implementations are schematically shown for the cases of factoring a large number, and a database search.
[Chap.5]Physical implementations are given. Quantum gates such as controlled not (CN), controlled controlled not (CCN), and controlled rotation (CR) are demonstrated. Furthermore, QDs, mutual Stark Effect gates, microphotoluminescence (μ-PL) measurements, and virtual photon-assisted dipole-dipole interactions among non-identical QDs are detailed.
[Chap.6]Then, the provisional structures of QC are illustrated, especially a CCN gate of QD block structure and quantum circuits.
[Chap.7]Finally, the power and future possibilities of QC are estimated in terms of computing complexity. Furthermore, multipolar expansion of Coulombic interaction and its spatio-temporal relations are demonstrated to find methods of coherent connections across different distances, for measurements, control, and instrumentations.
Background knowledge expected of the participants
Basic knowledge (undergraduate level) of electromagnetism and quantum mechanics helps the understanding very much, but is not required.
Objectives
A comprehensive understanding of quantum computing including history, mathematical principles, physical principles, and experiments of different kinds, with particular emphasis on the solid state realization.
Time allocations for the major course topics
One hour for the major part, and about two hours in total.Qualifications of the Instructor
Hideaki Matsueda took his Bachelor's degree and Master of Engineering degree, both in Metal Physics, from Kyoto University in 1969 and 1971, respectively, and received his Doctor of Philosophy degree in Materials Science from Massachusetts Institute of Technology in 1976. He joined the Central Research Laboratory, Hitachi Ltd. in 1976, continuing research on the science of surfaces and interfaces and optoelectronic integrated circuits. He has been a full professor at the Faculty of Science, Kochi University since 1991. He has headed a nationwide (NEDO) research program on solid state quantum computing devices, from 1997 to 2000. Prof. Matsueda organized the first international forum series on quantum dot quantum computing, IWQDQC (International Workshop on Quantum Dots for Quantum Computing and Classical Size Effect Circuits), calling the first meeting in Kochi, Japan, January 2002, and has given 34 presentations in 12 countries (US, Canada, Russia, Israel, India, China, Korea, Japan, and several in Europe). The scientific interests of Hideaki Matsueda include nano-structures and quantum dots, quantum computation and quantum cryptography, information theory, and information mechanisms of living bodies. He has served as a tutorial lecturer at the SICE (The Society of Instrument and Control Engineers) Annual Conference 2007 (International Conference on Instrumentation, Control and Information Technology, September 17-20, 2007, Takamatsu, Japan), in Lecture 2, Quantum Computing towards Solid State Realization, and in Tutorial 2 "Quantum Information, Measurement and Computing".
