A cryptographic test of quantumness and certifiable randomness from a single quantum device

Zvika Brakerski, Pau Christiano, Urmilal Mahadev, Umesh Vazirani, Thomas Vidick

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We give a protocol for producing certifiable randomness from a single untrusted quantum device that is polynomial-time bounded. The randomness is certified to be statistically close to uniform from the point of view of any computationally unbounded quantum adversary, that may share entanglement with the quantum device. The protocol relies on the existence of post-quantum secure trapdoor claw-free functions, and introduces a new primitive for constraining the power of an untrusted quantum device. We then show how to construct this primitive based on the hardness of the learning with errors (LWE) problem. The randomness protocol can also be used as the basis for an efficiently verifiable "quantum supremacy" proposal, thus answering an outstanding challenge in the field.
Original languageEnglish
Title of host publicationProceedings - 59th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2018
Pages320-331
Number of pages12
ISBN (Electronic)9781538642306
DOIs
StatePublished - 2 Dec 2018
Event59th IEEE Annual Symposium on Foundations of Computer Science (FOCS) - France, Paris
Duration: 7 Oct 20189 Oct 2018

Publication series

NameProceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
Volume2018-October
ISSN (Print)0272-5428

Conference

Conference59th IEEE Annual Symposium on Foundations of Computer Science (FOCS)
Period7/10/189/10/18

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