Upper bounds on the rate in device-independent quantum key distribution

Karol

Horodecki

ICTQT, University of Gdańsk

March 11, 2021 3:15 PM

Abstract:

Quantum key distribution  (QKD)  is a  method that distributes a secret key to a  sender and a receiver by the transmission of quantum particles (e.g. photons).  Device-independent quantum key distribution (DIQKD) is a version of QKD with a stronger notion of security, in that the sender and receiver base their protocol only on the statistics of input and outputs of their devices as inspired by  Bell’s theorem.   We study the rate at which  DIQKD  can be carried out for a given bipartite quantum state distributed between the sender and receiver or a quantum channel connecting them. We provide upper bounds on the achievable rate going beyond the upper bounds possible for QKD. In particular, we construct states and channels where the QKD rate is significant while the DIQKD rate is negligible.  This gap is illustrated for a practical case arising when using standard post-processing techniques for entangled two-qubit states.

The talk will be based on preprint:

Matthias Christandl, Roberto Ferrara, Karol Horodecki, Upper bounds on the rate in device-independent quantum key distribution, arxiv:2005:13511 (2020).

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Zoom meeting details 

Topic: Quantum Information and Quantum Computing Working Group
Time: March 11, 2021, 3:15 PM Warsaw
 
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