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Supersinglets |S N (d) 〉 are states of total spin zero of N particles of d levels. Some applications of the |S N (N) 〉 and |S N (2) 〉 states are described. The |S N (N) 〉 states can be used to solve three problems that have no classical solution: The ‘N strangers,’ ‘secret sharing,’ and ‘liar detection’ problems. The |S N (2) 〉 (with N even) states can be used to encode qubits in decoherence-free subspaces.
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