Practical randomness amplification and privatisation with implementations on quantum computers

Quantum, vol. 7, pp. 969

Abstract

We present an end-to-end and practical randomness amplification and privatisation protocol based on Bell tests. This allows the building of device-independent random number generators which output (near-)perfectly unbiased and private numbers, even if using an uncharacterised quantum device potentially built by an adversary. Our generation rates are linear in the repetition rate of the quantum device and the classical randomness post-processing has quasi-linear complexity – making it efficient on a standard personal laptop. The statistical analysis is also tailored for real-world quantum devices. Our protocol is then showcased on several different quantum computers. Although not purposely built for the task, we show that quantum computers can run faithful Bell tests by adding minimal assumptions. In this semi-device-independent manner, our protocol generates (near-)perfectly unbiased and private random numbers on today's quantum computers.

Authors 5

1. Cameron Foreman

   Quantinuum (United Kingdom) · University College London

   Affiliation as printed

   Department of Computer Science, University College London, London, United Kingdom

   Quantinuum, Partnership House, Carlisle Place, London SW1P 1BX, United Kingdom

2. Sherilyn Wright

   Quantinuum (United Kingdom)

   Affiliation as printed

   Quantinuum, Partnership House, Carlisle Place, London SW1P 1BX, United Kingdom

3. Alec Edgington

   Quantinuum (United Kingdom) · Quantinuum (United States)

   Affiliation as printed

   Quantinuum, Terrington House, 13–15 Hills Road, Cambridge CB2 1NL, United Kingdom

4. Mario Berta Aachen Institute for Quantum Information

   Imperial College London · RWTH Aachen University

   Affiliation as printed

   Department of Computing, Imperial College London, United Kingdom

   Institute for Quantum Information, RWTH Aachen University, Aachen, Germany

5. Florian J. Curchod

   Quantinuum (United Kingdom) · Quantinuum (United States)

   Affiliation as printed

   Quantinuum, Terrington House, 13–15 Hills Road, Cambridge CB2 1NL, United Kingdom