Abstract
Entanglement between n particles is a generalization of the entanglement between two particles, and a state is considered entangled if it cannot be written as a mixture of tensor products of the n particles’ states. We present the key notion of semi-separability, used to investigate n-particle entanglement by looking at two-subsystem entanglement between its various subsystems.We provide necessary conditions for n-particle separability (that is, sufficient conditions for n-particle entanglement). We also provide necessary and sufficient conditions in the case of pure states. By a surprising example, we show that such conditions are not sufficient for separability in the case of mixed states, suggesting entanglement of a strange type.
Supported in part by Canada’s nserc, Québec’s FCAR, and the Canada Council.
Supported in part by Canada’s nserc and Québec’s FCAR.
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© 1999 Springer-Verlag Berlin Heidelberg
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Brassard, G., Mor, T. (1999). Multi-particle Entanglement via Two-Particle Entanglement. In: Williams, C.P. (eds) Quantum Computing and Quantum Communications. QCQC 1998. Lecture Notes in Computer Science, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49208-9_1
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DOI: https://doi.org/10.1007/3-540-49208-9_1
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