Physics – Quantum Physics
Scientific paper
2001-03-04
J.Appl.Math. 2 (2002) 371-405
Physics
Quantum Physics
Latex File, 28 pages, corrected considerably in the process of refereeing. to appear in Journal of Applied Mathematics
Scientific paper
Geometrical aspects of quantum computing are reviewed elementarily for non-experts and/or graduate students who are interested in both Geometry and Quantum Computation. In the first half we show how to treat Grassmann manifolds which are very important examples of manifolds in Mathematics and Physics. Some of their applications to Quantum Computation and its efficiency problems are shown in the second half. An interesting current topic of Holonomic Quantum Computation is also covered. In the Appendix some related advanced topics are discussed.
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