Randomness versus Nonlocality in Multi-input and Multi-output Quantum Scenario Article Swipe
Chao Zhang
,
Yi Li
,
Xiao-Min Hu
,
X. D. Yu
,
Chuan-Feng Li
,
Guang-Can Guo
,
Jordi Tura
,
Qihuang Gong
,
Qiongyi He
,
Bi‐Heng Liu
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2408.04566
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2408.04566
Device-independent randomness certification based on Bell nonlocality does not require any assumptions about the devices and therefore provides adequate security. Great effort has been made to demonstrate that nonlocality is necessary for generating quantum randomness, but the minimal resource required for random number generation has not been clarified. Here we first prove and experimentally demonstrate that violating any two-input Bell inequality is both necessary and sufficient for certifying randomness, however, for the multi-input cases, this sufficiency ceases to apply, leading to certain states exhibiting Bell nonlocality without the capability to certify randomness. We examine two typical classes of Bell inequalities with multi-input and multi-output, the facet inequalities and Salavrakos-Augusiak-Tura-Wittek-Acín-Pironio Bell inequalities, in the high-dimensional photonic system, and observe the violation of the latter one can always certify randomness which is not true for the former. The private randomness with a generation rate of 1.867\pm0.018 bits per photon pair is obtained in the scenario of Salavrakos-Augusiak-Tura-Wittek-Acín-Pironio Bell inequalities with 3-input and 4-output. Our work unravels the internal connection between randomness and nonlocality, and effectively enhances the performance of tasks such as device-independent random number generation.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2408.04566
- https://arxiv.org/pdf/2408.04566
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4403555269Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2408.04566Digital Object Identifier
- Title
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Randomness versus Nonlocality in Multi-input and Multi-output Quantum ScenarioWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-08-08Full publication date if available
- Authors
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Chao Zhang, Yi Li, Xiao-Min Hu, X. D. Yu, Chuan-Feng Li, Guang-Can Guo, Jordi Tura, Qihuang Gong, Qiongyi He, Bi‐Heng LiuList of authors in order
- Landing page
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https://arxiv.org/abs/2408.04566Publisher landing page
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https://arxiv.org/pdf/2408.04566Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2408.04566Direct OA link when available
- Concepts
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Quantum nonlocality, Randomness, Quantum, Computer science, Statistical physics, Physics, Quantum mechanics, Mathematics, Quantum entanglement, StatisticsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.assumptions | 11 |
| abstract_inverted_index.demonstrate | 26, 54 |
| abstract_inverted_index.effectively | 172 |
| abstract_inverted_index.generation. | 183 |
| abstract_inverted_index.multi-input | 72, 101 |
| abstract_inverted_index.nonlocality | 6, 28, 85 |
| abstract_inverted_index.performance | 175 |
| abstract_inverted_index.randomness, | 34, 68 |
| abstract_inverted_index.randomness. | 91 |
| abstract_inverted_index.sufficiency | 75 |
| abstract_inverted_index.inequalities | 99, 106, 156 |
| abstract_inverted_index.nonlocality, | 170 |
| abstract_inverted_index.1.867\pm0.018 | 143 |
| abstract_inverted_index.certification | 2 |
| abstract_inverted_index.inequalities, | 110 |
| abstract_inverted_index.multi-output, | 103 |
| abstract_inverted_index.experimentally | 53 |
| abstract_inverted_index.high-dimensional | 113 |
| abstract_inverted_index.Device-independent | 0 |
| abstract_inverted_index.device-independent | 180 |
| abstract_inverted_index.Salavrakos-Augusiak-Tura-Wittek-Acín-Pironio | 108, 154 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 10 |
| citation_normalized_percentile |