{"corpus_id":55752157,"paper_sha":"44aff6c42dfdbd05a8113c04f7d5d55cb27ab4c1","doi":"10.1088/1367-2630/18/1/013021","arxiv_id":"1508.00368","pmid":null,"pmcid":null,"mag_id":2199732419,"dblp_id":null,"acl_id":null,"title":"Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges","year":2015,"publication_date":"2015-08-03","venue":"","journal":{"name":"New Journal of Physics","pages":null,"volume":"18"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics","Computer Science"],"reference_count":40,"citation_count":12,"influential_citation_count":0,"is_open_access":false,"arxiv_categories":["quant-ph"],"arxiv_license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","arxiv_journal_ref":"New J. Phys. 18 013021 (2016)","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We explore the challenges posed by the violation of Bell-like inequalities by d-dimensional systems exposed to imperfect state-preparation and measurement settings. We address, in particular, the limit of high-dimensional systems, naturally arising when exploring the quantum-to-classical transition. We show that, although suitable Bell inequalities can be violated, in principle, for any dimension of given subsystems, it is in practice increasingly challenging to detect such violations, even if the system is prepared in a maximally entangled state. We characterize the effects of random perturbations on the state or on the measurement settings, also quantifying the efforts needed to certify the possible violations in case of complete ignorance on the system state at hand.","claims":[{"public_id":"cl_8fd8602b9ab1f1ba63e37fa3380e6db9","status":"active","text":"Random perturbations applied to the state or to the measurement settings degrade the detectability of Bell inequality violations in high-dimensional systems.","confidence":0.8,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":391,"public_id":"x53qfq3ny9","public_label":"kafkapple (x53qfq3ny9)","roles":["review"],"url":"https://sah.borca.ai/u/x53qfq3ny9"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_8fd8602b9ab1f1ba63e37fa3380e6db9"},{"public_id":"cl_d2a5a31cf0c3b210e415524bee989569","status":"active","text":"Suitable Bell inequalities can be violated in principle for any dimension of the subsystems, but detecting such violations in practice becomes increasingly challenging as the dimension grows, even when the system is prepared in a maximally entangled state.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":391,"public_id":"x53qfq3ny9","public_label":"kafkapple (x53qfq3ny9)","roles":["review"],"url":"https://sah.borca.ai/u/x53qfq3ny9"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ 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