Implications of superstrong non-locality for cryptography

Author:

Buhrman Harry12,Christandl Matthias3,Unger Falk2,Wehner Stephanie2,Winter Andreas4

Affiliation:

1. University of AmsterdamKruislaan 413, 1098 SJ Amsterdam, The Netherlands

2. Centrum voor Wiskunde en InformaticaKruislaan 413, 1098 SJ Amsterdam, The Netherlands

3. Department of Applied Mathematics and Theoretical Physics, Centre for Quantum Computation, University of CambridgeWilberforce Road, Cambridge CB3 0WA, UK

4. Department of Mathematics, University of BristolUniversity Walk, Bristol BS8 1TW, UK

Abstract

Non-local boxes are hypothetical ‘machines’ that give rise to superstrong non-local correlations, leading to a stronger violation of Bell/Clauser, Horne, Shimony & Holt inequalities than is possible within the framework of quantum mechanics. We show how non-local boxes can be used to perform any two-party secure computation. We first construct a protocol for bit commitment and then show how to achieve oblivious transfer using non-local boxes. Both have been shown to be impossible using quantum mechanics alone.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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