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3 December 2002 Introduction to Grassmann manifolds and quantum computation
Kazuyuki Fujii
J. Appl. Math. 2(8): 371-405 (3 December 2002). DOI: 10.1155/S1110757X02110163


Geometrical aspects of quantum computing are reviewed elementarily for nonexperts and/or graduate students who are interested in both geometry and quantum computation. 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. An interesting current topic of holonomic quantum computation is also covered. Also, some related advanced topics are discussed.


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Kazuyuki Fujii. "Introduction to Grassmann manifolds and quantum computation." J. Appl. Math. 2 (8) 371 - 405, 3 December 2002.


Published: 3 December 2002
First available in Project Euclid: 30 March 2003

zbMATH: 1037.81014
MathSciNet: MR1954931
Digital Object Identifier: 10.1155/S1110757X02110163

Primary: 15A69 , 15A90
Secondary: 53C29 , 53C30 , 53C80 , 81P68 , 81Q70

Rights: Copyright © 2002 Hindawi

Vol.2 • No. 8 • 3 December 2002
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