@article{MTMT:34598185, title = {Activation of metrologically useful genuine multipartite entanglement}, url = {https://m2.mtmt.hu/api/publication/34598185}, author = {Trényi, Róbert and Lukács, Árpád László and Horodecki, Paweł and Horodecki, Ryszard and Vértesi, Tamás and Tóth, Géza}, doi = {10.1088/1367-2630/ad1e93}, journal-iso = {NEW J PHYS}, journal = {NEW JOURNAL OF PHYSICS}, volume = {26}, unique-id = {34598185}, issn = {1367-2630}, abstract = {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.}, year = {2024}, eissn = {1367-2630}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:34308959, title = {Quantum Wasserstein distance based on an optimization over separable states}, url = {https://m2.mtmt.hu/api/publication/34308959}, author = {Tóth, Géza and Pitrik, József}, doi = {10.22331/q-2023-10-16-1143}, journal-iso = {QUANTUM-AUSTRIA}, journal = {QUANTUM}, volume = {7}, unique-id = {34308959}, issn = {2521-327X}, abstract = {We define the quantum Wasserstein distance such that the optimization of the coupling is carried out over bipartite separable states rather than bipartite quantum states in general, and examine its properties. Sur-prisingly, we find that the self-distance is related to the quantum Fisher information. We present a transport map corresponding to an optimal bipartite separable state. We discuss how the quantum Wasserstein distance introduced is connected to criteria detecting quantum entanglement. We define variance -like quantities that can be obtained from the quantum Wasserstein distance by replacing the minimization over quantum states by a maximization. We extend our results to a family of generalized quantum Fisher infor-mation quantities.}, year = {2023}, eissn = {2521-327X}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:33935430, title = {Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles}, url = {https://m2.mtmt.hu/api/publication/33935430}, author = {Vitagliano, G and Fadel, M and Apellaniz, I and Kleinmann, M and Lucke, B and Klempt, C and Tóth, Géza}, doi = {10.22331/q-2023-02-09-914}, journal-iso = {QUANTUM-AUSTRIA}, journal = {QUANTUM}, volume = {7}, unique-id = {33935430}, issn = {2521-327X}, year = {2023}, eissn = {2521-327X}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:32836858, title = {Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices}, url = {https://m2.mtmt.hu/api/publication/32836858}, author = {Tóth, Géza and Fröwis, F.}, doi = {10.1103/PhysRevResearch.4.013075}, journal-iso = {PRRESEARCH}, journal = {PHYSICAL REVIEW RESEARCH}, volume = {4}, unique-id = {32836858}, year = {2022}, eissn = {2643-1564}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:32849851, title = {Activating hidden metrological usefulness}, url = {https://m2.mtmt.hu/api/publication/32849851}, author = {Tóth, Géza and Vértesi, Tamás and Horodecki, P. and Horodecki, R.}, doi = {10.1364/QIM.2021.Th2A.6}, journal-iso = {OPTICS INFOBASE CONF PAP}, journal = {OPTICS INFOBASE CONFERENCE PAPERS}, volume = {2021}, unique-id = {32849851}, issn = {2162-2701}, year = {2021}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:32079102, title = {Bound entangled singlet-like states for quantum metrology}, url = {https://m2.mtmt.hu/api/publication/32079102}, author = {Pál, Károly Ferenc and Tóth, Géza and Bene, Erika and Vértesi, Tamás}, doi = {10.1103/PhysRevResearch.3.023101}, journal-iso = {PRRESEARCH}, journal = {PHYSICAL REVIEW RESEARCH}, volume = {3}, unique-id = {32079102}, year = {2021}, eissn = {2643-1564}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @mastersthesis{MTMT:33675605, title = {Entanglement detection and quantum metrology in quantum optical systems}, url = {https://m2.mtmt.hu/api/publication/33675605}, author = {Tóth, Géza}, publisher = {MTA Wigner Fizikai Kutatóközpont}, unique-id = {33675605}, year = {2020}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:31382293, title = {Activating Hidden Metrological Usefulness}, url = {https://m2.mtmt.hu/api/publication/31382293}, author = {Tóth, Géza and Vértesi, Tamás and Horodecki, P and Horodecki, R}, doi = {10.1103/PhysRevLett.125.020402}, journal-iso = {PHYS REV LETT}, journal = {PHYSICAL REVIEW LETTERS}, volume = {125}, unique-id = {31382293}, issn = {0031-9007}, year = {2020}, eissn = {1079-7114}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:31326912, title = {Measurement-induced, spatially-extended entanglement in a hot, strongly-interacting atomic system}, url = {https://m2.mtmt.hu/api/publication/31326912}, author = {Kong, J. and Jiménez-Martínez, R. and Troullinou, C. and Lucivero, V.G. and Tóth, Géza and Mitchell, M.W.}, doi = {10.1038/s41467-020-15899-1}, journal-iso = {NAT COMMUN}, journal = {NATURE COMMUNICATIONS}, volume = {11}, unique-id = {31326912}, issn = {2041-1723}, year = {2020}, eissn = {2041-1723}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} } @article{MTMT:31183896, title = {Stretching the limits of multiparticle entanglement}, url = {https://m2.mtmt.hu/api/publication/31183896}, author = {Tóth, Géza}, doi = {10.22331/qv-2020-01-27-30}, journal-iso = {QUANTUM-AUSTRIA}, journal = {QUANTUM}, volume = {4}, unique-id = {31183896}, issn = {2521-327X}, year = {2020}, eissn = {2521-327X}, orcid-numbers = {Tóth, Géza/0000-0002-9602-751X} }