München 2019 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Quanteninformation und Kontrolle
MP 8.5: Vortrag
Mittwoch, 20. März 2019, 15:50–16:10, HS 23
Entanglement properties of USp⊗USp symmetric states — •Zoltán Zimborás1, Michael Keyl2, Thomas Schulte-Herbrüggen3, and Robert Zeier4 — 1Wigner Research Centre for Physics, H-1021 Budapest, Hungary — 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — 3Technical University Munich, Department of Chemistry, Lichtenbergstrasse 4, 85747 Garching, Germany — 4Adlzreiterstrasse 23, 80337 Munich, Germany
It is notoriously hard to calculate entanglement measures for generic states. From the beginning of entanglement theory, it has been therefore useful to consider examples of entangled states that are highly symmetric, since representation theoretic methods can then be used to greatly simplify the computations of the measures and the characterization of entanglement properties. In the present work, we continue this program by studying USp(2n)⊗USp(2n) symmetric states. This symmetry defines a two-parameter family of states in any 2n × 2n dimensional bipartite Hilbert-space. The two free parameters are related by partial transposition in much the same way as isotropic and Werner states, but unlike those states the studied family also contains a region with bound entangled states. Using group theoretical methods, we calculate the one-distillability and two-shareability regions for this set of states, and discuss how these might shed new light on some old conjectures.