The fastest generation of multipartite entanglement with natural interactions
Natural interactions among multiple quantum objects are fundamentally composed of two-body terms only. In contradistinction, single global unitaries that generate highly entangled states typically arise from Hamiltonians that couple multiple individual subsystems simultaneously. Here, we study the t...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acf953 |
| _version_ | 1797674401714405376 |
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| author | Paweł Cieśliński Waldemar Kłobus Paweł Kurzyński Tomasz Paterek Wiesław Laskowski |
| author_facet | Paweł Cieśliński Waldemar Kłobus Paweł Kurzyński Tomasz Paterek Wiesław Laskowski |
| author_sort | Paweł Cieśliński |
| collection | DOAJ |
| description | Natural interactions among multiple quantum objects are fundamentally composed of two-body terms only. In contradistinction, single global unitaries that generate highly entangled states typically arise from Hamiltonians that couple multiple individual subsystems simultaneously. Here, we study the time to produce strongly nonclassical multipartite correlations with a single unitary generated by the natural interactions. We restrict the symmetry of two-body interactions to match the symmetry of the target states and focus on the fastest generation of multipartite entangled Greenberger–Horne–Zeilinger, W, Dicke and absolutely maximally entangled states for up to seven qubits. These results are obtained by constraining the energy in the system and accordingly can be seen as state-dependent quantum speed limits for symmetry-adjusted natural interactions. They give rise to a counter-intuitive effect where the creation of particular entangled states with an increasing number of particles does not require more time. The methods used rely on extensive numerical simulations and analytical estimations. |
| first_indexed | 2024-03-11T21:59:32Z |
| format | Article |
| id | doaj.art-4f853188db6b4f36bce6076159ed7763 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-11T21:59:32Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4f853188db6b4f36bce6076159ed77632023-09-25T12:14:13ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125909304010.1088/1367-2630/acf953The fastest generation of multipartite entanglement with natural interactionsPaweł Cieśliński0https://orcid.org/0000-0001-5975-6265Waldemar Kłobus1Paweł Kurzyński2https://orcid.org/0000-0002-6322-9131Tomasz Paterek3Wiesław Laskowski4https://orcid.org/0000-0001-5166-0373Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk , 80-308 Gdańsk, PolandInstitute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk , 80-308 Gdańsk, PolandInstitute of Spintronics and Quantum Information, Faculty of Physics, Adam Mickiewicz University , 61-614 Poznań, PolandInstitute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk , 80-308 Gdańsk, Poland; School of Mathematics and Physics, Xiamen University Malaysia , 43900 Sepang, MalaysiaInstitute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk , 80-308 Gdańsk, Poland; International Centre for Theory of Quantum Technologies, University of Gdańsk , 80-308 Gdańsk, PolandNatural interactions among multiple quantum objects are fundamentally composed of two-body terms only. In contradistinction, single global unitaries that generate highly entangled states typically arise from Hamiltonians that couple multiple individual subsystems simultaneously. Here, we study the time to produce strongly nonclassical multipartite correlations with a single unitary generated by the natural interactions. We restrict the symmetry of two-body interactions to match the symmetry of the target states and focus on the fastest generation of multipartite entangled Greenberger–Horne–Zeilinger, W, Dicke and absolutely maximally entangled states for up to seven qubits. These results are obtained by constraining the energy in the system and accordingly can be seen as state-dependent quantum speed limits for symmetry-adjusted natural interactions. They give rise to a counter-intuitive effect where the creation of particular entangled states with an increasing number of particles does not require more time. The methods used rely on extensive numerical simulations and analytical estimations.https://doi.org/10.1088/1367-2630/acf953quantum entanglementtwo-body Hamiltoniansmultipartite correlations2-local Hamiltonians |
| spellingShingle | Paweł Cieśliński Waldemar Kłobus Paweł Kurzyński Tomasz Paterek Wiesław Laskowski The fastest generation of multipartite entanglement with natural interactions New Journal of Physics quantum entanglement two-body Hamiltonians multipartite correlations 2-local Hamiltonians |
| title | The fastest generation of multipartite entanglement with natural interactions |
| title_full | The fastest generation of multipartite entanglement with natural interactions |
| title_fullStr | The fastest generation of multipartite entanglement with natural interactions |
| title_full_unstemmed | The fastest generation of multipartite entanglement with natural interactions |
| title_short | The fastest generation of multipartite entanglement with natural interactions |
| title_sort | fastest generation of multipartite entanglement with natural interactions |
| topic | quantum entanglement two-body Hamiltonians multipartite correlations 2-local Hamiltonians |
| url | https://doi.org/10.1088/1367-2630/acf953 |
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