dorsal/arxiv
View SchemaIntroduction to Grassmann Manifolds and Quantum Computation
| Authors | Kazuyuki Fujii |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103011 |
| URL | https://arxiv.org/abs/quant-ph/0103011 |
| Journal | J.Appl.Math. 2 (2002) 371-405 |
Abstract
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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"abstract": "Geometrical aspects of quantum computing are reviewed elementarily for\nnon-experts and/or graduate students who are interested in both Geometry and\nQuantum Computation.\n In the first half we show how to treat Grassmann manifolds which are very\nimportant examples of manifolds in Mathematics and Physics. Some of their\napplications to Quantum Computation and its efficiency problems are shown in\nthe second half. An interesting current topic of Holonomic Quantum Computation\nis also covered.\n In the Appendix some related advanced topics are discussed.",
"arxiv_id": "quant-ph/0103011",
"authors": [
"Kazuyuki Fujii"
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"journal_ref": "J.Appl.Math. 2 (2002) 371-405",
"title": "Introduction to Grassmann Manifolds and Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0103011"
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