Security of Quantum Key Distribution with entangled quNits

Details Security of Quantum Key Distribution with entangled quNits Security of Quantum Key Distribution with entangled quNits

2003-02-10

arxiv.org/abs/quant-ph/0302078v2

Physics

Quantum Physics

15 pages, equation 15 and conclusions corrected the 14th of April 2003, new results added

Scientific paper

10.1103/PhysRevA.69.032313

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.

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