Physics – Quantum Physics
Scientific paper
2001-06-08
J. Phys. A 35 (2002) 10065
Physics
Quantum Physics
8 pages, 3 figures, REVTeX
Scientific paper
10.1088/0305-4470/35/47/307
We present security proofs for a protocol for Quantum Key Distribution (QKD) based on encoding in finite high-dimensional Hilbert spaces. This protocol is an extension of Bennett's and Brassard's basic protocol from two bases, two state encoding to a multi bases, multi state encoding. We analyze the mutual information between the legitimate parties and the eavesdropper, and the error rate, as function of the dimension of the Hilbert space, while considering optimal incoherent and coherent eavesdropping attacks. We obtain the upper limit for the legitimate party error rate to ensure unconditional security when the eavesdropper uses incoherent and coherent eavesdropping strategies. We have also consider realistic noise caused by detector's noise.
Bjork Gunnar
Bourennane Mohamed
Cerf Nicolas
Gisin Nicolas
Karlsson Anders
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