Maximal Randomness Generation from Steering Inequality Violations Using Qudits

Paul Skrzypczyk, Daniel Cavalcanti

Research output: Contribution to journalArticle (Academic Journal)peer-review

55 Citations (Scopus)
285 Downloads (Pure)


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.

Original languageEnglish
Article number260401
Number of pages6
JournalPhysical Review Letters
Issue number26
Publication statusPublished - 26 Jun 2018

Structured keywords

  • Bristol Quantum Information Institute
  • QITG


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