Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 49, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/49/30/305301
Keywords
dimension witness; device independent; Bell inequality; high dimension entanglement
Categories
Funding
- Singapore Ministry of Education (Academic Research Fund Tier 3) [MOE2012-T3-1-009]
- National Research Foundation of Singapore, Prime Ministers Office, under the Research Centres of Excellence programme
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A dimension witness is a criterion that sets a lower bound on the dimension needed to reproduce the observed data. Three types of dimension witnesses can be found in the literature: device-dependent ones, in which the bound is obtained assuming some knowledge on the state and the measurements; device-independent prepare-and-measure ones, that can be applied to any system including classical ones; and device-independent Bell-based ones, that certify the minimal dimension of some entangled systems. Here we consider the Collins-Gisin-Linden-Massar-Popescu Bell-type inequality for four outcomes. We show that a sufficiently high violation of this inequality witnesses d >= 4 and present a proof-of-principle experimental observation of such a violation. This presents a first experimental violation of the third type of dimension witness beyond qutrits.
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