Welcome to the resource topic for 2014/455
Title:
Single-shot security for one-time memories in the isolated qubits model
Authors: Yi-Kai Liu
Abstract:One-time memories (OTM’s) are simple, tamper-resistant cryptographic devices, which can be used to implement sophisticated functionalities such as one-time programs. Can one construct OTM’s whose security follows from some physical principle? This is not possible in a fully-classical world, or in a fully-quantum world, but there is evidence that OTM’s can be built using “isolated qubits” – qubits that cannot be entangled, but can be accessed using adaptive sequences of single-qubit measurements. Here we present new constructions for OTM’s using isolated qubits, which improve on previous work in several respects: they achieve a stronger “single-shot” security guarantee, which is stated in terms of the (smoothed) min-entropy; they are proven secure against adversaries who can perform arbitrary local operations and classical communication (LOCC); and they are efficiently implementable. These results use Wiesner’s idea of conjugate coding, combined with error-correcting codes that approach the capacity of the q-ary symmetric channel, and a high-order entropic uncertainty relation, which was originally developed for cryptography in the bounded quantum storage model.
ePrint: https://eprint.iacr.org/2014/455
Talk: https://www.youtube.com/watch?v=jnM7eruMSJU
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