| Paper Abstract and Keywords |
| Presentation |
2024-11-26 13:20
[Poster Presentation]
Quantum concentration inequalities for adversarial setups exploiting permutation symme
Takaya Matsuura (RIKEN), Shinichiro Yamano (UTokyo), Yui Kuramochi (UEC), Toshihiko Ssasaki, Masato Koashi (UTokyo) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We construct new concentration inequalities for quantum states on $N$-body quantum systems or measurement outcomes on them, that apply to adversarial setups. In our first result, a permutation-invariant adversarial quantum state on $N$-qudit system is bounded from above by a convex mixture of independent and identically distributed quantum states up to a factor polynomial in $N$. A similar result has been obtained through the quantum de Finetti theorem, but our bound is tighter than it. In addition, we obtain a concentration inequality for the outcomes of independent and identical measurements on an $N$-body adversarial quantum state, which may be much tighter than the conventional Azuma's inequality. We further demonstrate numerically the usefulness of our results in a simple quantum information processing tasks. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Concentration inequality / Finite-size analysis / Quantum key distribution / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
| Paper # |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2024-11-26 - 2024-11-28 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Sunport Hall Takamatsu |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2024-11-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Quantum concentration inequalities for adversarial setups exploiting permutation symme |
| Sub Title (in English) |
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| Keyword(1) |
Concentration inequality |
| Keyword(2) |
Finite-size analysis |
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Quantum key distribution |
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| 1st Author's Name |
Takaya Matsuura |
| 1st Author's Affiliation |
Institute of Physical and Chemical Research (RIKEN) |
| 2nd Author's Name |
Shinichiro Yamano |
| 2nd Author's Affiliation |
The University of Tokyo (UTokyo) |
| 3rd Author's Name |
Yui Kuramochi |
| 3rd Author's Affiliation |
University of Electro-Communications (UEC) |
| 4th Author's Name |
Toshihiko Ssasaki |
| 4th Author's Affiliation |
The University of Tokyo (UTokyo) |
| 5th Author's Name |
Masato Koashi |
| 5th Author's Affiliation |
The University of Tokyo (UTokyo) |
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| Speaker |
Author-1 |
| Date Time |
2024-11-26 13:20:00 |
| Presentation Time |
90 minutes |
| Registration for |
QIT |
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| Volume (vol) |
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