2006年
On a geometric structure of pure multi-qubit quantum states and its applicability to a numerical computation
Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006
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- 開始ページ
- 48
- 終了ページ
- 53
- 記述言語
- 英語
- 掲載種別
- 研究論文(国際会議プロシーディングス)
- DOI
- 10.1109/ISVD.2006.27
- 出版者・発行元
- IEEE Computer Society Press
For one-qubit pure quantum states, it is already proved that the Voronoi diagrams with respect to two distances -Euclidean distance and the quantum divergence - coincide. This fact is a support for a known method to calculate the Holevo capacity. To consider an applicability of this method to quantum states of a higher level system, it is essential to check if the coincidence of the Voronoi diagrams also occurs. In this paper, we show a negative result for that expectation. In other words, we mathematically prove that those diagrams no longer coincide in a higher dimension. That indicates that the method used in one-qubit case to calculate the Holevo capacity might not be effective in a higher dimension. © 2006 IEEE.
- リンク情報
- ID情報
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- DOI : 10.1109/ISVD.2006.27
- SCOPUS ID : 34250325125