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Article

Certified Randomness From Steering Using Sequential Measurements

1
School of Informatics, University of Edinburgh, 10 Crichton Street, Edinburgh EH8 9AB, UK
2
Laboratoire d’Informatique de Paris 6, CNRS, Sorbonne Université, 4 Place Jussieu, 75005 Paris, France
3
Department of Computing, Goldsmiths, University of London, New Cross, London SE14 6NW, UK
*
Author to whom correspondence should be addressed.
This paper is an extended version of our paper published in the Proceedings of the 9th International Workshop on Physics and Computation
Cryptography 2019, 3(4), 27; https://doi.org/10.3390/cryptography3040027
Received: 1 October 2019 / Revised: 13 November 2019 / Accepted: 28 November 2019 / Published: 6 December 2019
(This article belongs to the Special Issue Quantum Cryptography and Cyber Security)
The generation of certifiable randomness is one of the most promising applications of quantum technologies. Furthermore, the intrinsic non-locality of quantum correlations allow us to certify randomness in a device-independent way, i.e., we do not need to make assumptions about the devices used. Due to the work of Curchod et al. a single entangled two-qubit pure state can be used to produce arbitrary amounts of certified randomness. However, the obtaining of this randomness is experimentally challenging as it requires a large number of measurements, both projective and general. Motivated by these difficulties in the device-independent setting, we instead consider the scenario of one-sided device independence where certain devices are trusted, and others are not; a scenario motivated by asymmetric experimental set-ups such as ion-photon networks. We show how certain aspects of previous works can be adapted to this scenario and provide theoretical bounds on the amount of randomness that can be certified. Furthermore, we give a protocol for unbounded randomness certification in this scenario, and provide numerical results demonstrating the protocol in the ideal case. Finally, we numerically test the possibility of implementing this scheme on near-term quantum technologies, by considering the performance of the protocol on several physical platforms. View Full-Text
Keywords: one-sided device independence; randomness generation; randomness certification; quantum cryptography; semi-definite programming, self testing one-sided device independence; randomness generation; randomness certification; quantum cryptography; semi-definite programming, self testing
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MDPI and ACS Style

Coyle, B.; Kashefi, E.; Hoban, M.J. Certified Randomness From Steering Using Sequential Measurements. Cryptography 2019, 3, 27. https://doi.org/10.3390/cryptography3040027

AMA Style

Coyle B, Kashefi E, Hoban MJ. Certified Randomness From Steering Using Sequential Measurements. Cryptography. 2019; 3(4):27. https://doi.org/10.3390/cryptography3040027

Chicago/Turabian Style

Coyle, Brian; Kashefi, Elham; Hoban, Matty J. 2019. "Certified Randomness From Steering Using Sequential Measurements" Cryptography 3, no. 4: 27. https://doi.org/10.3390/cryptography3040027

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