SAMOP 2023 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 11: Quantum Entanglement I
QI 11.6: Vortrag
Dienstag, 7. März 2023, 12:30–12:45, B305
Maximally entangled symmetric states of two qubits — •Eduardo Serrano-Ensástiga1,2 and John Martin2 — 1Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Ensenada, Baja California, México — 2Institut de Physique Nucléaire, Atomique et de Spectroscopie, CESAM, University of Liège, Liège, Belgium
The problem studied by Verstraete, Audenaert and De Moor [1] -about which global unitary operations maximize the entanglement of a bipartite qubit system- is revisited and solved when permutation symmetry between the qubits is taken into account. This condition appears naturally in bosonic systems or spin-1 systems [2]. Our results [3] allow us to characterize the set of symmetric absolutely separable states (SAS) for two qubits. In particular, we calculate the maximal radius of a ball of SAS states around the maximally mixed state in the symmetric sector, and the minimum radius of a ball that includes the set of SAS states. For symmetric 3-qubit systems, we deduce a necessary condition for absolute separability and bounds for the radii of similar balls studied in the two-qubit system. [1] F. Verstraete, K. Audenaert, and B. De Moor, Phys. Rev. A, 64, 012316, (2001). [2] O. Giraud, P. Braun, and D. Braun, Phys. Rev. A, 78, 042112, (2008). [3] E. Serrano-Ensástiga, and J. Martin, ArXiv:2112.05102 (2021).