$N$-Particle $N$-Level Singlet States: Some Properties and Applications

$N$ -Particle $N$ -Level Singlet States: Some Properties and Applications

Adán Cabello

Phys. Rev. Lett. 89, 100402 – Published 19 August 2002

Abstract

Three apparently unrelated problems which have no solution using classical tools are described: the “ $N$ -strangers,” “secret sharing,” and “liar detection” problems. A solution for each of them is proposed. Common to all three solutions is the use of quantum states of total spin zero of $N$ spin- $(N - 1) / 2$ particles.