| Paper Abstract and Keywords |
| Presentation |
2022-12-08 09:45
Trade-off relations between measurement dependence and hiddenness for separable hidden variable models
Ryo Takakura (Kyoto Univ.), Kei Morisue (Waseda Univ.), Issei Watanabe, Gen Kimura (SIT) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The Bell theorem is investigated as a trade-off relation between assumptions for the underlying hidden variable model. Considering the introduction of a set of hidden variables itself to be one of the essential assumptions, we introduce a measure of hiddenness, a quantity that expresses the degree to which hidden variables are needed. We derive novel relaxed Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequalities for separable models, which are hidden variable models that only satisfy the locality but not the measurement independence condition, in terms of their measurement dependence and hiddenness. The derived relations can be interpreted as trade-off relations between the measurement dependence and hiddenness for separable models in the CHSH scenario. It is also revealed that the relation gives a necessary and sufficient condition for the measures to be realized by a separable model. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Bell inequality / Hidden variable theory, / Measurement independence / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2022-12-08 - 2022-12-09 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Keio Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2022-12-QIT |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Trade-off relations between measurement dependence and hiddenness for separable hidden variable models |
| Sub Title (in English) |
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| Keyword(1) |
Bell inequality |
| Keyword(2) |
Hidden variable theory, |
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Measurement independence |
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| 1st Author's Name |
Ryo Takakura |
| 1st Author's Affiliation |
Kyoto Univsesity (Kyoto Univ.) |
| 2nd Author's Name |
Kei Morisue |
| 2nd Author's Affiliation |
Waseda University (Waseda Univ.) |
| 3rd Author's Name |
Issei Watanabe |
| 3rd Author's Affiliation |
Shibaura Institute of Technology (SIT) |
| 4th Author's Name |
Gen Kimura |
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Shibaura Institute of Technology (SIT) |
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| Speaker |
Author-1 |
| Date Time |
2022-12-08 09:45:00 |
| Presentation Time |
15 minutes |
| Registration for |
QIT |
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