Introduction to Grassmann manifolds and quantum computation
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 ap...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X02110163 |
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| _version_ | 1832550021552144384 |
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| author | Kazuyuki Fujii |
| author_facet | Kazuyuki Fujii |
| author_sort | Kazuyuki Fujii |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a19b623da7c1475bba793009383a2af6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a19b623da7c1475bba793009383a2af62025-02-03T06:07:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422002-01-012837140510.1155/S1110757X02110163Introduction to Grassmann manifolds and quantum computationKazuyuki Fujii0Department of Mathematical Sciences, Yokohama City University, Yokohama 236-0027, JapanGeometrical 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.http://dx.doi.org/10.1155/S1110757X02110163 |
| spellingShingle | Kazuyuki Fujii Introduction to Grassmann manifolds and quantum computation Journal of Applied Mathematics |
| title | Introduction to Grassmann manifolds and quantum computation |
| title_full | Introduction to Grassmann manifolds and quantum computation |
| title_fullStr | Introduction to Grassmann manifolds and quantum computation |
| title_full_unstemmed | Introduction to Grassmann manifolds and quantum computation |
| title_short | Introduction to Grassmann manifolds and quantum computation |
| title_sort | introduction to grassmann manifolds and quantum computation |
| url | http://dx.doi.org/10.1155/S1110757X02110163 |
| work_keys_str_mv | AT kazuyukifujii introductiontograssmannmanifoldsandquantumcomputation |