Wigner negativity in spin-j systems
The nonclassicality of simple spin systems as measured by Wigner negativity is studied on a spherical phase space. Several SU(2)-covariant states with common qubit representations are analyzed: spin coherent states, spin cat (Greenberger-Horne-Zeilinger or N00N) states, and Dicke (W) states. We deri...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033134 |
| _version_ | 1797210965668790272 |
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| author | Jack Davis Meenu Kumari Robert B. Mann Shohini Ghose |
| author_facet | Jack Davis Meenu Kumari Robert B. Mann Shohini Ghose |
| author_sort | Jack Davis |
| collection | DOAJ |
| description | The nonclassicality of simple spin systems as measured by Wigner negativity is studied on a spherical phase space. Several SU(2)-covariant states with common qubit representations are analyzed: spin coherent states, spin cat (Greenberger-Horne-Zeilinger or N00N) states, and Dicke (W) states. We derive a bound on the Wigner negativity of spin cat states that rapidly approaches the true value as spin increases beyond j≳5. We find that spin cat states are not significantly Wigner negative relative to their Dicke state counterparts of equal dimension. We also find, in contrast to several entanglement measures, that the most Wigner-negative Dicke basis element is spin dependent, and not the equatorial state |j,0〉 (or |j,±1/2〉 for half-integer spins). These results underscore the influence that dynamical symmetry has on nonclassicality and suggest a guiding perspective for finding novel quantum computational applications. |
| first_indexed | 2024-04-24T10:18:59Z |
| format | Article |
| id | doaj.art-f6910e3c258c4d34ba25715e17df2fc2 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:59Z |
| publishDate | 2021-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f6910e3c258c4d34ba25715e17df2fc22024-04-12T17:12:42ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303313410.1103/PhysRevResearch.3.033134Wigner negativity in spin-j systemsJack DavisMeenu KumariRobert B. MannShohini GhoseThe nonclassicality of simple spin systems as measured by Wigner negativity is studied on a spherical phase space. Several SU(2)-covariant states with common qubit representations are analyzed: spin coherent states, spin cat (Greenberger-Horne-Zeilinger or N00N) states, and Dicke (W) states. We derive a bound on the Wigner negativity of spin cat states that rapidly approaches the true value as spin increases beyond j≳5. We find that spin cat states are not significantly Wigner negative relative to their Dicke state counterparts of equal dimension. We also find, in contrast to several entanglement measures, that the most Wigner-negative Dicke basis element is spin dependent, and not the equatorial state |j,0〉 (or |j,±1/2〉 for half-integer spins). These results underscore the influence that dynamical symmetry has on nonclassicality and suggest a guiding perspective for finding novel quantum computational applications.http://doi.org/10.1103/PhysRevResearch.3.033134 |
| spellingShingle | Jack Davis Meenu Kumari Robert B. Mann Shohini Ghose Wigner negativity in spin-j systems Physical Review Research |
| title | Wigner negativity in spin-j systems |
| title_full | Wigner negativity in spin-j systems |
| title_fullStr | Wigner negativity in spin-j systems |
| title_full_unstemmed | Wigner negativity in spin-j systems |
| title_short | Wigner negativity in spin-j systems |
| title_sort | wigner negativity in spin j systems |
| url | http://doi.org/10.1103/PhysRevResearch.3.033134 |
| work_keys_str_mv | AT jackdavis wignernegativityinspinjsystems AT meenukumari wignernegativityinspinjsystems AT robertbmann wignernegativityinspinjsystems AT shohinighose wignernegativityinspinjsystems |