Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
One of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations stronger than possible in classical physics. In addition to their t...
| المؤلفون الرئيسيون: | , , , |
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| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
IOP Publishing
2023-01-01
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| سلاسل: | New Journal of Physics |
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1088/1367-2630/ad05a6 |
| _version_ | 1827761964576669696 |
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| author | Alban Jean-Marie Seguinard Amélie Piveteau Piotr Mironowicz Mohamed Bourennane |
| author_facet | Alban Jean-Marie Seguinard Amélie Piveteau Piotr Mironowicz Mohamed Bourennane |
| author_sort | Alban Jean-Marie Seguinard |
| collection | DOAJ |
| description | One of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations stronger than possible in classical physics. In addition to their theoretical significance, non-local correlations have practical applications, such as device-independent randomness generation, providing private unpredictable numbers even when they are obtained using devices delivered by an untrusted vendor. Thus, determining the quantity of certifiable randomness that can be produced using a specific set of non-local correlations is of significant interest. In this paper, we present an experimental realization of recent Bell-type operators designed to provide private random numbers that are secure against adversaries with quantum resources. We use semi-definite programming to provide lower bounds on the generated randomness in terms of both min-entropy and von Neumann entropy in a device-independent scenario. We compare experimental setups providing Bell violations close to the Tsirelson’s bound with lower rates of events, with setups having slightly worse levels of violation but higher event rates. Our results demonstrate the first experiment that certifies close to two bits of randomness from binary measurements of two parties. Apart from single-round certification, we provide an analysis of finite-key protocol for quantum randomness expansion using the Entropy Accumulation theorem and show its advantages compared to existing solutions. |
| first_indexed | 2024-03-11T10:23:16Z |
| format | Article |
| id | doaj.art-01016bb01110400fbd17d55d51bfa1d6 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-11T10:23:16Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-01016bb01110400fbd17d55d51bfa1d62023-11-16T05:15:57ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251111302210.1088/1367-2630/ad05a6Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenarioAlban Jean-Marie Seguinard0Amélie Piveteau1Piotr Mironowicz2https://orcid.org/0000-0003-4122-5372Mohamed Bourennane3Department of Physics, Stockholm University , S-10691 Stockholm, SwedenDepartment of Physics, Stockholm University , S-10691 Stockholm, SwedenDepartment of Physics, Stockholm University , S-10691 Stockholm, Sweden; Faculty of Electronics, Telecommunications and Informatics, Gdańsk University of Technology , Gdańsk, 80-233, PolandDepartment of Physics, Stockholm University , S-10691 Stockholm, SwedenOne of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations stronger than possible in classical physics. In addition to their theoretical significance, non-local correlations have practical applications, such as device-independent randomness generation, providing private unpredictable numbers even when they are obtained using devices delivered by an untrusted vendor. Thus, determining the quantity of certifiable randomness that can be produced using a specific set of non-local correlations is of significant interest. In this paper, we present an experimental realization of recent Bell-type operators designed to provide private random numbers that are secure against adversaries with quantum resources. We use semi-definite programming to provide lower bounds on the generated randomness in terms of both min-entropy and von Neumann entropy in a device-independent scenario. We compare experimental setups providing Bell violations close to the Tsirelson’s bound with lower rates of events, with setups having slightly worse levels of violation but higher event rates. Our results demonstrate the first experiment that certifies close to two bits of randomness from binary measurements of two parties. Apart from single-round certification, we provide an analysis of finite-key protocol for quantum randomness expansion using the Entropy Accumulation theorem and show its advantages compared to existing solutions.https://doi.org/10.1088/1367-2630/ad05a6randomness generationrandomness certificationBell inequalitiesquantum non-localityentropy accumulation theorem |
| spellingShingle | Alban Jean-Marie Seguinard Amélie Piveteau Piotr Mironowicz Mohamed Bourennane Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario New Journal of Physics randomness generation randomness certification Bell inequalities quantum non-locality entropy accumulation theorem |
| title | Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario |
| title_full | Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario |
| title_fullStr | Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario |
| title_full_unstemmed | Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario |
| title_short | Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario |
| title_sort | experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario |
| topic | randomness generation randomness certification Bell inequalities quantum non-locality entropy accumulation theorem |
| url | https://doi.org/10.1088/1367-2630/ad05a6 |
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