N-particle N-level singlet States: some properties and applications.
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.
Cabello
Adán
A
Departamento de Física Aplicada II, Universidad de Sevilla, Spain.