NDLI: Robust protocols for securely expanding randomness and distributing keys using untrusted quantum devices

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Robust protocols for securely expanding randomness and distributing keys using untrusted quantum devices

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Robust protocols for securely expanding randomness and distributing keys using untrusted quantum devices

Content Provider	ACM Digital Library
Author	Shi, Yaoyun Miller, Carl A.
Abstract	Randomness is a vital resource for modern day information processing, especially for cryptography. A wide range of applications critically rely on abundant, high quality random numbers generated securely. Here we show how to expand a random seed at an exponential rate without trusting the underlying quantum devices. Our approach is secure against the most general adversaries, and has the following new features: tolerating a constant level of implementation imprecision, requiring only a unit size quantum memory per device component for the honest implementation, and allowing a large natural class of constructions. In conjunct with a recent work by Chung, Shi and Wu (QIP 2014), it leads to robust unbounded expansion using just 2 multi-part devices. It can also be adapted for distributing cryptographic keys securely. The proof begins with a known protocol and proceeds by showing that the Renyi divergence of the outputs of the protocol (for a specific bounding operator) decreases linearly as the protocol iterates. At the heart of the proof are a new uncertainty principle on quantum measurements, and a method for simulating trusted measurements with untrusted devices. A full version of this paper containing additional results developed after the conference submission is available as arXiv:1402.0489.
Starting Page	417
Ending Page	426
Page Count	10
File Format	PDF MP4
ISBN	9781450327107
DOI	10.1145/2591796.2591843
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2014-05-31
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Randomness extraction Uncertainty principle Nonlocal games Randomness expansion Quantum cryptography
Content Type	Audio Text
Resource Type	Article

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