N-particle N-level singlet states: Some properties and applications

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.

REVTeX4, 4 pages, 1 figure

References in corpus (4)

• Stimulated emission of polarization-entangled photons
• Experimental violation of a spin-1 Bell inequality using maximally-entangled four-photon states
• A Quantum solution to the Byzantine agreement problem
• Efficient quantum key distribution scheme with nonmaximally entangled states

Cited by in corpus (51)

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• Multipartite nonlocality and random measurements
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• Experimental verification of multidimensional quantum steering
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• Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices
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• Multi-level, multi-party singlets as ground states and their role in entanglement distribution
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• Persistency of Genuine Correlations Under Particle Loss
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• Identifying families of multipartite states with non-trivial local entanglement transformations
• Preparing Remote States for Genuine Quantum Networks
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• Detecting a set of entanglement measures in an unknown tripartite quantum state by local operations and classical communication
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• Quantum Clock Synchronization with a Single Qudit