Mainz 2017 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 32: Quantum Information: Concepts and Methods V
Q 32.6: Vortrag
Mittwoch, 8. März 2017, 15:45–16:00, P 2
Absolutely maximally entangled states of seven qubits do not exist — •Felix Huber1, Otfried Gühne1, and Jens Siewert2,3 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany — 2Departamento de Química Física, Universidad del País Vasco UPV/EHU, E-48080 Bilbao, Spain — 3IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain
Pure multiparticle quantum states are called absolutely maximally entangled if all reduced states obtained by tracing out at least half of the particles are maximally mixed. We provide a method to characterize these states for a general multiparticle system. With that, we prove that a seven-qubit state whose three-body marginals are all maximally mixed does not exist. Furthermore, we obtain an upper limit on the possible number of maximally mixed three-body marginals and identify the state saturating the bound. This solves the seven-particle problem as the last open case concerning maximally entangled states of qubits.