Journal
NEW JOURNAL OF PHYSICS
Volume 18, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/18/2/025021
Keywords
device-independent; self-testing; CHSH; Mayers-Yao
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Funding
- Singapore Ministry of Education (Academic Research Fund Tier 3) [MOE2012-T3-1-009]
- National Research Foundation of Singapore
- National Natural Science Foundation of China [61272057, 61170270]
- Beijing Higher Education Young Elite Teacher Project [YETP0475, YETP0477]
- Government of China through China Scholarship Council
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Self-testing refers to the possibility of characterizing uniquely (up to local isometries) the state and measurements contained in quantum devices, based only on the observed input-output statistics. Already in the basic case of the two-qubit singlet, self-testing is not unique: the two known criteria (the maximal violation of the CHSH inequality and the Mayers-Yao correlations) are not equivalent. It is unknown how many criteria there are. In this paper, we find the whole set of criteria for the ideal self-testing of a singlet with two measurements and two outcomes on each side; it coincides with all the extremal points of the quantum set that can be obtained by measuring the singlet.
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