| Paper Abstract and Keywords |
| Presentation |
2006-06-23 15:35
Notes on Voronoi Diagrams for Pure Quantum States
Kimikazu Kato (Nihon Unisys/Univ. of Tokyo), Mayumi Oto (Toshiba), Hiroshi Imai (Univ. of Tokyo), Keiko Imai (Chuo Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We give a new geometric interpretation of quantum pure states. We reinterpret the structure of the space of pure states as a subspace of the space of density matrices with a language of a Voronoi diagram. We show that for one-qubit pure states, the Voronoi diagrams with respect to some distances ― a divergence, Fubini-Study distance, Bures distance, geodesic distance and Euclidean distance ― are all the same. As an application of this fact, we introduce a method to numerically compute the Holevo capacity of a quantum channel. Moreover, we show this coincidence does not occur in a higher level quantum states. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
quantum information / Voronoi diagram / quantum divergence / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 128, COMP2006-24, pp. 49-55, June 2006. |
| Paper # |
COMP2006-24 |
| Date of Issue |
2006-06-16 (COMP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
COMP |
| Conference Date |
2006-06-23 - 2006-06-23 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Saitama Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
COMP |
| Conference Code |
2006-06-COMP |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Notes on Voronoi Diagrams for Pure Quantum States |
| Sub Title (in English) |
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| Keyword(1) |
quantum information |
| Keyword(2) |
Voronoi diagram |
| Keyword(3) |
quantum divergence |
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| 1st Author's Name |
Kimikazu Kato |
| 1st Author's Affiliation |
University of Tokyo (Nihon Unisys/Univ. of Tokyo) |
| 2nd Author's Name |
Mayumi Oto |
| 2nd Author's Affiliation |
Toshiba Corporation (Toshiba) |
| 3rd Author's Name |
Hiroshi Imai |
| 3rd Author's Affiliation |
University of Tokyo (Univ. of Tokyo) |
| 4th Author's Name |
Keiko Imai |
| 4th Author's Affiliation |
Chuo University (Chuo Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2006-06-23 15:35:00 |
| Presentation Time |
35 minutes |
| Registration for |
COMP |
| Paper # |
COMP2006-24 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.128 |
| Page |
pp.49-55 |
| #Pages |
7 |
| Date of Issue |
2006-06-16 (COMP) |