Activation of metrologically useful genuine multipartite entanglement
We consider quantum metrology with several copies of bipartite and multipartite quantum states. We characterize the metrological usefulness by determining how much the state outperforms separable states. We identify a large class of entangled states that become maximally useful for metrology in the...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ad1e93 |
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| author | Róbert Trényi Árpád Lukács Paweł Horodecki Ryszard Horodecki Tamás Vértesi Géza Tóth |
| author_facet | Róbert Trényi Árpád Lukács Paweł Horodecki Ryszard Horodecki Tamás Vértesi Géza Tóth |
| author_sort | Róbert Trényi |
| collection | DOAJ |
| description | We consider quantum metrology with several copies of bipartite and multipartite quantum states. We characterize the metrological usefulness by determining how much the state outperforms separable states. We identify a large class of entangled states that become maximally useful for metrology in the limit of large number of copies, even if the state is weakly entangled and not even more useful than separable states. This way we activate metrologically useful genuine multipartite entanglement. Remarkably, not only that the maximally achievable metrological usefulness is attained exponentially fast in the number of copies, but it can be achieved by the measurement of few simple correlation observables. We also make general statements about the usefulness of a single copy of pure entangled states. We surprisingly find that the multiqubit states presented in Hyllus et al (2010 Phys. Rev. A 82 012337), which are not useful, become useful if we embed the qubits locally in qutrits. We discuss the relation of our scheme to error correction, and its possible use for quantum metrology in a noisy environment. |
| first_indexed | 2024-03-08T00:22:24Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-08T00:22:24Z |
| publishDate | 2024-01-01 |
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| series | New Journal of Physics |
| spelling | doaj.art-e50cfcc967e042ccb880355b4259404a2024-02-16T07:45:10ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126202303410.1088/1367-2630/ad1e93Activation of metrologically useful genuine multipartite entanglementRóbert Trényi0https://orcid.org/0000-0002-2839-0472Árpád Lukács1https://orcid.org/0000-0002-5737-1393Paweł Horodecki2https://orcid.org/0000-0002-3233-1336Ryszard Horodecki3https://orcid.org/0000-0003-2935-290XTamás Vértesi4https://orcid.org/0000-0003-4437-9414Géza Tóth5https://orcid.org/0000-0002-9602-751XDepartment of Theoretical Physics, University of the Basque Country UPV/EHU , PO Box 644, E-48080 Bilbao, Spain; EHU Quantum Center, University of the Basque Country UPV/EHU , Barrio Sarriena s/n, E-48940 Leioa, Biscay, Spain; Donostia International Physics Center (DIPC) , PO Box 1072, E-20080 San Sebastián, Spain; HUN-REN Wigner Research Centre for Physics , PO Box 49, Budapest H-1525, HungaryDepartment of Theoretical Physics, University of the Basque Country UPV/EHU , PO Box 644, E-48080 Bilbao, Spain; HUN-REN Wigner Research Centre for Physics , PO Box 49, Budapest H-1525, Hungary; Department of Mathematical Sciences, Durham University , Stockton Road, DH1 3LE Durham, United KingdomInternational Centre for Theory of Quantum Technologies, University of Gdańsk , Wita Stwosza 63, 80-308 Gdańsk, Poland; Faculty of Applied Physics and Mathematics, National Quantum Information Centre, Gdańsk University of Technology , Gabriela Narutowicza 11/12, 80-233 Gdańsk, PolandInternational Centre for Theory of Quantum Technologies, University of Gdańsk , Wita Stwosza 63, 80-308 Gdańsk, PolandMTA Atomki Lendület Quantum Correlations Research Group, HUN-REN Institute for Nuclear Research, Hungarian Academy of Sciences , PO Box 51, Debrecen H-4001, HungaryDepartment of Theoretical Physics, University of the Basque Country UPV/EHU , PO Box 644, E-48080 Bilbao, Spain; EHU Quantum Center, University of the Basque Country UPV/EHU , Barrio Sarriena s/n, E-48940 Leioa, Biscay, Spain; Donostia International Physics Center (DIPC) , PO Box 1072, E-20080 San Sebastián, Spain; HUN-REN Wigner Research Centre for Physics , PO Box 49, Budapest H-1525, Hungary; IKERBASQUE, Basque Foundation for Science , E-48013 Bilbao, SpainWe consider quantum metrology with several copies of bipartite and multipartite quantum states. We characterize the metrological usefulness by determining how much the state outperforms separable states. We identify a large class of entangled states that become maximally useful for metrology in the limit of large number of copies, even if the state is weakly entangled and not even more useful than separable states. This way we activate metrologically useful genuine multipartite entanglement. Remarkably, not only that the maximally achievable metrological usefulness is attained exponentially fast in the number of copies, but it can be achieved by the measurement of few simple correlation observables. We also make general statements about the usefulness of a single copy of pure entangled states. We surprisingly find that the multiqubit states presented in Hyllus et al (2010 Phys. Rev. A 82 012337), which are not useful, become useful if we embed the qubits locally in qutrits. We discuss the relation of our scheme to error correction, and its possible use for quantum metrology in a noisy environment.https://doi.org/10.1088/1367-2630/ad1e93quantum entanglementgenuine multipartite entanglementquantum metrology |
| spellingShingle | Róbert Trényi Árpád Lukács Paweł Horodecki Ryszard Horodecki Tamás Vértesi Géza Tóth Activation of metrologically useful genuine multipartite entanglement New Journal of Physics quantum entanglement genuine multipartite entanglement quantum metrology |
| title | Activation of metrologically useful genuine multipartite entanglement |
| title_full | Activation of metrologically useful genuine multipartite entanglement |
| title_fullStr | Activation of metrologically useful genuine multipartite entanglement |
| title_full_unstemmed | Activation of metrologically useful genuine multipartite entanglement |
| title_short | Activation of metrologically useful genuine multipartite entanglement |
| title_sort | activation of metrologically useful genuine multipartite entanglement |
| topic | quantum entanglement genuine multipartite entanglement quantum metrology |
| url | https://doi.org/10.1088/1367-2630/ad1e93 |
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