Continuous-variable protocol for oblivious transfer in the noisy-storage model

Fabian Furrer, Tobias Gehring (), Christian Schaffner, Christoph Pacher, Roman Schnabel and Stephanie Wehner
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Fabian Furrer: NTT Corporation
Tobias Gehring: Technical University of Denmark, Fysikvej
Christian Schaffner: Language and Computation (ILLC) University of Amsterdam
Christoph Pacher: AIT Austrian Institute of Technology
Roman Schnabel: Universität Hamburg
Stephanie Wehner: Delft University of Technology

Nature Communications, 2018, vol. 9, issue 1, 1-10

Abstract: Abstract Cryptographic protocols are the backbone of our information society. This includes two-party protocols which offer protection against distrustful players. Such protocols can be built from a basic primitive called oblivious transfer. We present and experimentally demonstrate here a quantum protocol for oblivious transfer for optical continuous-variable systems, and prove its security in the noisy-storage model. This model allows us to establish security by sending more quantum signals than an attacker can reliably store during the protocol. The security proof is based on uncertainty relations which we derive for continuous-variable systems, that differ from the ones used in quantum key distribution. We experimentally demonstrate in a proof-of-principle experiment the proposed oblivious transfer protocol for various channel losses by using entangled two-mode squeezed states measured with balanced homodyne detection. Our work enables the implementation of arbitrary two-party quantum cryptographic protocols with continuous-variable communication systems.

Date: 2018
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DOI: 10.1038/s41467-018-03729-4

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