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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<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mn>3<\/mml:mn><mml:mo>\u00d7<\/mml:mo><mml:mn>3<\/mml:mn><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mn>4<\/mml:mn><mml:mo>\u00d7<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:math>systems, and find that the experimental certification of bound entangled states is well within reach.<\/jats:p>","DOI":"10.22331\/q-2018-12-18-113","type":"journal-article","created":{"date-parts":[[2018,12,18]],"date-time":"2018-12-18T18:46:25Z","timestamp":1545158785000},"page":"113","source":"Crossref","is-referenced-by-count":20,"title":["Bound entangled states fit for robust experimental verification"],"prefix":"10.22331","volume":"2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4982-6570","authenticated-orcid":false,"given":"Gael","family":"Sent\u00eds","sequence":"first","affiliation":[{"name":"Naturwissenschaftlich-Technische Fakult\u00e4t, Universit\u00e4t Siegen, 57068 Siegen, Germany"},{"name":"Departamento de F\u00edsica Te\u00f3rica e Historia de la Ciencia, Universidad del Pa\u00eds Vasco UPV\/EHU, E-48080 Bilbao, Spain"}]},{"given":"Johannes N.","family":"Greiner","sequence":"additional","affiliation":[{"name":"3rd Institute of Physics, University of Stuttgart and Institute for Quantum Science and Technology, IQST, Pfaffenwaldring 57, D-70569 Stuttgart, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2332-5882","authenticated-orcid":false,"given":"Jiangwei","family":"Shang","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory of Nanophotonics and Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Naturwissenschaftlich-Technische Fakult\u00e4t, Universit\u00e4t Siegen, 57068 Siegen, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9410-5043","authenticated-orcid":false,"given":"Jens","family":"Siewert","sequence":"additional","affiliation":[{"name":"Departamento de Qu\u00edmica F\u00edsica, Universidad del Pa\u00eds Vasco UPV\/EHU, E-48080 Bilbao, Spain"},{"name":"IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5782-804X","authenticated-orcid":false,"given":"Matthias","family":"Kleinmann","sequence":"additional","affiliation":[{"name":"Naturwissenschaftlich-Technische Fakult\u00e4t, Universit\u00e4t Siegen, 57068 Siegen, Germany"},{"name":"Departamento de F\u00edsica Te\u00f3rica e Historia de la Ciencia, Universidad del Pa\u00eds Vasco UPV\/EHU, E-48080 Bilbao, Spain"}]}],"member":"9598","published-online":{"date-parts":[[2018,12,18]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"M. 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