2019 Conference on Lasers and Electro-Optics Europe &Amp; European Quantum Electronics Conference (CLEO/Europe-EQEC) 2019
DOI: 10.1109/cleoe-eqec.2019.8872159
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Experimental Device-Independent Certification of a SIC-POVM

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Cited by 2 publications
(4 citation statements)
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“…These lower bounds were verified to be achieved with projective measurements up to machine precision. The results show that the obtained upper bounds are either optimal or close to optimal, depending on d. In analogy with previous works [32][33][34][35][36], we find that the gap between optimal quantum correlations and those obtained under projective measurements is small.…”
supporting
confidence: 85%
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“…These lower bounds were verified to be achieved with projective measurements up to machine precision. The results show that the obtained upper bounds are either optimal or close to optimal, depending on d. In analogy with previous works [32][33][34][35][36], we find that the gap between optimal quantum correlations and those obtained under projective measurements is small.…”
supporting
confidence: 85%
“…To this end, we introduce a family of CCPs, prove that they enable self-tests of d-dimensional symmetric informationally complete (SIC) POVMs, then use symmetrised semidefinite relaxations to bound the correlations attainable under projective measurements. This allows us to go beyond previously studied qubit systems [32][33][34][35][36] and robustly certify the nonprojectiveness of SIC-POVMs subject to imperfections.…”
mentioning
confidence: 96%
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“…Furthermore, they are useful for entanglement witnessing [39], have found applications in quantum key distribution [40,41] and enable optimal random number generation from a singlet state [42]. In addition, SICs are at the heart of many protocols for certifying the nonprojective nature of a measurement [43][44][45][46]. Moreover, SICs exhibit interesting connections to several areas of mathematics, for instance Lie and Jordan algebras [47] and algebraic number theory [48,49].…”
Section: Introductionmentioning
confidence: 99%