Abstract

Quantum random number generators (QRNGs) play an increasingly important role in cryptography systems. Specifically, QRNG performed in prepare-and-measure scenarios with independent devices has attracted intensive study, since it can be intrinsically loss tolerant and its assumptions on devices seem to be quite natural. However, the estimations of min-entropy given in previous works are not optimal. As a result, the performance of quantum randomness certification in practice is still severely depressed. Here, we present a novel method to estimate the min-entropy through developing a reduced device model and proving its equivalence to the original one. Benefitting from this reduction, we can solve the min-entropy estimation problem using mixed integer programming effectively. Furthermore, we derive an optimal bound of analytic form in the case that constraints are made up of symmetric observed probabilities. Simulation results show that our work gives an optimal solution in this case and brings a significant performance improvement compared to previous works.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Experimental three-party quantum random number generator based on dimension witness violation and weak measurement

Xue-Bi An, Hong-Wei Li, Zhen-Qiang Yin, Meng-Jun Hu, Wei Huang, Bing-Jie Xu, Shuang Wang, Wei Chen, Guang-Can Guo, and Zheng-Fu Han
Opt. Lett. 43(14) 3437-3440 (2018)

Proof-of-principle implementation of a quantum random number generator with independent devices and a dimension witness

Xue-Bi An, Yun-Guang Han, Zhen-Qiang Yin, Wei Huang, Wei Chen, Shuang Wang, Guang-Can Guo, and Zheng-Fu Han
Opt. Lett. 42(20) 4139-4142 (2017)

Spatio-temporal optical random number generator

M. Stipčević and J. E. Bowers
Opt. Express 23(9) 11619-11631 (2015)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (23)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription