Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.260401
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Funding
- Ramon y Cajal fellowship
- Spanish MINECO [QIBEQI FIS2016-80773-P]
- Spanish MINECO (Severo Ochoa) [SEV-2015-0522]
- Generalitat de Catalunya [SGR875]
- Royal Society URF (UHQT)
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We consider the generation of randomness based upon the observed violation of an Einstein-Podolsky - Rosen (EPR) steering inequality, known as one-sided device-independent randomness generation. We show that in the simplest scenario-involving only two parties and two measurements for the uncharacterised party with d outcomes-that there exist EPR steering inequalities whose maximal violation certifies maximal randomness generation, equal to log(d) bits. We further show that all pure partially entangled full-Schmidt-rank states in all dimensions can achieve maximal violation of these inequalities, and thus lead to maximal randomness generation in the one-sided device-independent setting. More generally, the amount of randomness that can be generated is given by a semidefinite program, which we use to study the behavior for nonmaximal violations of the inequalities.
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