Security of Quantum Key Distribution with entangled quNits

Preprint

14 April 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0302078

Abstract

We consider a generalisation of Ekert's entanglement-based quantum cryptographic protocol where qubits are replaced by qu$N$its (i.e., N-dimensional systems). In order to study its robustness against optimal incoherent attacks, we derive the information gained by a potential eavesdropper during a cloning-based individual attack. In doing so, we generalize Cerf's formalism for cloning machines and establish the form of the most general cloning machine that respects all the symmetries of the problem. We obtain an upper bound on the error rate that guarantees the confidentiality of quNit generalisations of the Ekert's protocol for qubits.

Keywords

All Related Versions

Version 1, 2003-02-11, ArXiv
Version 2, 2003-04-14, ArXiv
Published version: Physical Review A, 69 (3), 032313.

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