Average correlation as an indicator for nonclassicality
Bell inequalities are an essential part of quantum information theory. Based on these fundamental inequalities, we propose a different indicator for nonclassicality in the Bell sense: average correlation. We derive a general expression for average correlation and calculate its value for pure states...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.023063 |
| _version_ | 1797210549816131584 |
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| author | Michael E. N. Tschaffon Johannes Seiler Matthias Freyberger |
| author_facet | Michael E. N. Tschaffon Johannes Seiler Matthias Freyberger |
| author_sort | Michael E. N. Tschaffon |
| collection | DOAJ |
| description | Bell inequalities are an essential part of quantum information theory. Based on these fundamental inequalities, we propose a different indicator for nonclassicality in the Bell sense: average correlation. We derive a general expression for average correlation and calculate its value for pure states and Werner states. From there we show how two inequalities emerge which serve as necessary and sufficient conditions for nonclassicality. They are simple to evaluate and can even be used to classify all bipartite qubit states. |
| first_indexed | 2024-04-24T10:12:22Z |
| format | Article |
| id | doaj.art-f6f11481cfa54567967c72a2d6ff3b3f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:22Z |
| publishDate | 2023-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f6f11481cfa54567967c72a2d6ff3b3f2024-04-12T17:30:29ZengAmerican Physical SocietyPhysical Review Research2643-15642023-04-015202306310.1103/PhysRevResearch.5.023063Average correlation as an indicator for nonclassicalityMichael E. N. TschaffonJohannes SeilerMatthias FreybergerBell inequalities are an essential part of quantum information theory. Based on these fundamental inequalities, we propose a different indicator for nonclassicality in the Bell sense: average correlation. We derive a general expression for average correlation and calculate its value for pure states and Werner states. From there we show how two inequalities emerge which serve as necessary and sufficient conditions for nonclassicality. They are simple to evaluate and can even be used to classify all bipartite qubit states.http://doi.org/10.1103/PhysRevResearch.5.023063 |
| spellingShingle | Michael E. N. Tschaffon Johannes Seiler Matthias Freyberger Average correlation as an indicator for nonclassicality Physical Review Research |
| title | Average correlation as an indicator for nonclassicality |
| title_full | Average correlation as an indicator for nonclassicality |
| title_fullStr | Average correlation as an indicator for nonclassicality |
| title_full_unstemmed | Average correlation as an indicator for nonclassicality |
| title_short | Average correlation as an indicator for nonclassicality |
| title_sort | average correlation as an indicator for nonclassicality |
| url | http://doi.org/10.1103/PhysRevResearch.5.023063 |
| work_keys_str_mv | AT michaelentschaffon averagecorrelationasanindicatorfornonclassicality AT johannesseiler averagecorrelationasanindicatorfornonclassicality AT matthiasfreyberger averagecorrelationasanindicatorfornonclassicality |