Unbounded randomness certification using sequences of measurements

Curchod, F. J.; Johansson, M.; Augusiak, R.; Hoban, Matty J.; Wittek, P. and Acin, A.. 2017. Unbounded randomness certification using sequences of measurements. Physical Review A, 95(2), 020102R. ISSN 2469-9926 [Article]

[img]
Preview
Text
2NewUnboundedSeq.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial.

Download (445kB) | Preview

Abstract or Description

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 4logd 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.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1103/PhysRevA.95.020102

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
18 January 2017Accepted
17 February 2017Published

Item ID:

24405

Date Deposited:

01 Oct 2018 10:33

Last Modified:

03 Aug 2021 15:05

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

https://research.gold.ac.uk/id/eprint/24405

View statistics for this item...

Edit Record Edit Record (login required)