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All Entanglements in a Multipartite System

Yu Shi
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Abstract

For a multipartite system, we sort out all possible entanglements, each of which is among a set of subsystems. Each entanglement can be measured by a generalized relative entropy of entanglement, which is conserved on average under reversible local operations and classical communication (LOCC) defined for all the parties. Then we derive a series of inequalities of different entanglements that have to be satisfied by any pure state which can be generated by reversible LOCC from the set of all GHZ-like states.

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Yu Shi. 2002-09-12. All Entanglements in a Multipartite System. https://arxiv.org/abs/quant-ph/0201079

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