Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities

Details Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities

2001-04-03

arxiv.org/abs/quant-ph/0104016v1

Phys. Rev. A, 65 (2002) 012311

Physics

Quantum Physics

14 pages, 1 figure

Scientific paper

10.1103/PhysRevA.65.012311

Quantum secret-sharing protocols involving N partners (NQSS) are key distribution protocols in which Alice encodes her key into $N-1$ qubits, in such a way that all the other partners must cooperate in order to retrieve the key. On these protocols, several eavesdropping scenarios are possible: some partners may want to reconstruct the key without the help of the other ones, and consequently collaborate with an Eve that eavesdrops on the other partners' channels. For each of these scenarios, we give the optimal individual attack that the Eve can perform. In case of such an optimal attack, the authorized partners have a higher information on the key than the unauthorized ones if and only if they can violate a Bell's inequality.

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