Journal
NEW JOURNAL OF PHYSICS
Volume 17, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/11/113010
Keywords
randomness certification; quantum steering; prepare-and-measure
Categories
Funding
- Beatriu de Pinos fellowship [BP-DGR 2013]
- Marie Curie COFUND action through the ICFOnest program
- ERC CoG QITBOX
- ERC AdG NLST
- EU project SIQS
- Spanish project FOQUS
- Generalitat de Catalunya [SGR875]
- John Templeton Foundation
- ICREA Funding Source: Custom
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Quantum mechanics predicts the existence of intrinsically random processes. Contrary to classical randomness, this lack of predictability can not be attributed to ignorance or lack of control. Here we find the optimal method to quantify the amount of local or global randomness that can be extracted in two scenarios: (i) the quantum steering scenario, where two parties measure a bipartite system in an unknown state but one of them does not trust his measurement apparatus, and (ii) the prepare-and-measure scenario, where additionally the quantum state is known. We use our methods to compute the maximal amount of local and global randomness that can be certified by measuring systems subject to noise and losses and show that local randomness can be certified from a single measurement if and only if the detectors used in the test have detection efficiency higher than 50%.
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