On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States
The theorem developed by John Bell constituted the starting point of a revolution that translated a philosophical question about the nature of reality into the broad and intense field of research of the quantum information technologies. We focus on a system of two qubits prepared in a random, mixed...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/1/94 |
| _version_ | 1797442976477085696 |
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| author | Antonio Mandarino Giovanni Scala |
| author_facet | Antonio Mandarino Giovanni Scala |
| author_sort | Antonio Mandarino |
| collection | DOAJ |
| description | The theorem developed by John Bell constituted the starting point of a revolution that translated a philosophical question about the nature of reality into the broad and intense field of research of the quantum information technologies. We focus on a system of two qubits prepared in a random, mixed state, and we study the typical behavior of their nonlocality via the CHSH–Bell inequality. Afterward, motivated by the necessity of accounting for inefficiency in the state preparation, we address to what extent states close enough to one with a high degree of nonclassicality can violate local realism with a previously chosen experimental setup. |
| first_indexed | 2024-03-09T12:49:26Z |
| format | Article |
| id | doaj.art-cec0ca2e5ece4779814a425d1f89f894 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T12:49:26Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-cec0ca2e5ece4779814a425d1f89f8942023-11-30T22:08:34ZengMDPI AGEntropy1099-43002023-01-012519410.3390/e25010094On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random StatesAntonio Mandarino0Giovanni Scala1International Centre for Theory of Quantum Technologies, University of Gdańsk, Jana Bażyńskiego 1A, 80-309 Gdańsk, PolandInternational Centre for Theory of Quantum Technologies, University of Gdańsk, Jana Bażyńskiego 1A, 80-309 Gdańsk, PolandThe theorem developed by John Bell constituted the starting point of a revolution that translated a philosophical question about the nature of reality into the broad and intense field of research of the quantum information technologies. We focus on a system of two qubits prepared in a random, mixed state, and we study the typical behavior of their nonlocality via the CHSH–Bell inequality. Afterward, motivated by the necessity of accounting for inefficiency in the state preparation, we address to what extent states close enough to one with a high degree of nonclassicality can violate local realism with a previously chosen experimental setup.https://www.mdpi.com/1099-4300/25/1/94CHSH–Bell inequalityfidelityrandom matrix |
| spellingShingle | Antonio Mandarino Giovanni Scala On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States Entropy CHSH–Bell inequality fidelity random matrix |
| title | On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States |
| title_full | On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States |
| title_fullStr | On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States |
| title_full_unstemmed | On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States |
| title_short | On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States |
| title_sort | on the fidelity robustness of chsh bell inequality via filtered random states |
| topic | CHSH–Bell inequality fidelity random matrix |
| url | https://www.mdpi.com/1099-4300/25/1/94 |
| work_keys_str_mv | AT antoniomandarino onthefidelityrobustnessofchshbellinequalityviafilteredrandomstates AT giovanniscala onthefidelityrobustnessofchshbellinequalityviafilteredrandomstates |