期刊
PHYSICAL REVIEW A
卷 95, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.95.020102
关键词
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资金
- ERC
- AXA Chair in Quantum Information Science
- Spanish MINECO [FOQUS FIS2013-46768-P, SEV-2015-0522]
- Fundacion Cellex
- Generalitat de Catalunya [SGR 875]
- John Templeton Foundation
- Marie Curie COFUND action through the ICFOnest program
- European Union [705109]
- EPSRC (through the NQIT Quantum Hub)
- FQXi Large Grant Thermodynamic vs Information Theoretic Entropies in Probabilistic Theories
- ICREA Funding Source: Custom
- Marie Curie Actions (MSCA) [705109] Funding Source: Marie Curie Actions (MSCA)
Unpredictability, or randomness, of the outcomes of measurements made on an entangled state can be certified provided that the statistics violate a Bell inequality. In the standard Bell scenario where each party performs a single measurement on its share of the system, only a finite amount of randomness, of at most 4 log(2) d bits, can be certified from a pair of entangled particles of dimension d. Our work shows that this fundamental limitation can be overcome using sequences of (nonprojective) measurements on the same system. More precisely, we prove that one can certify any amount of random bits from a pair of qubits in a pure state as the resource, even if it is arbitrarily weakly entangled. In addition, this certification is achieved by near-maximal violation of a particular Bell inequality for each measurement in the sequence.
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