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. |
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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 |
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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) |
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