Rostock 2019 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 44: Quantum Information (Concepts and Methods) III
Q 44.4: Talk
Thursday, March 14, 2019, 11:15–11:30, S HS 001 Chemie
Bound entangled states fit for robust experimental verification — •Gael Sentís1,2, Johannes N. Greiner3, Jiangwei Shang1,4, Jens Siewert2,5, and Matthias Kleinmann1,2 — 1Universität Siegen, Siegen, Germany — 2Universidad del País Vasco UPV/EHU, Bilbao, Spain — 3University of Stuttgart and Institute for Quantum Science and Technology, Stuttgart, Germany — 4Beijing Institute of Technology, Beijing, China — 5IKERBASQUE, Bilbao, Spain
Preparing and certifying bound entangled states in the laboratory is an intrinsically hard task, due to both the fact that they typically form narrow regions in state space, and that a certificate requires a tomographic reconstruction of the density matrix. Indeed, the previous experiments that have reported the preparation of a bound entangled state relied on such tomographic reconstruction techniques. However, the reliability of these results crucially depends on the extra assumption of an unbiased reconstruction. We propose an alternative method for certifying the bound entangled character of a quantum state that leads to a rigorous claim within a desired statistical significance, while bypassing a full reconstruction of the state. The method is comprised by a search for bound entangled states that are robust for experimental verification, and a hypothesis test tailored for the detection of bound entanglement that is naturally equipped with a measure of statistical significance. We apply our method to families of states of 3x3 and 4x4 systems, and find that the experimental certification of bound entangled states is well within reach.