A family of multipartite entanglement measures

P\'eter Vrana

A family of multipartite entanglement measures

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arxiv 2008.11108 v1 pith:MR2O4BLY submitted 2020-08-25 math-ph math.MPquant-ph

Péter Vrana This is my paper · ORCID

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keywords familyentanglementmeasuresmultipartitestatesadditivechristandlconstruct

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We construct a family of additive entanglement measures for pure multipartite states. The family is parametrised by a simplex and interpolates between the R\'enyi entropies of the one-particle reduced states and the recently-found universal spectral points (Christandl, Vrana, and Zuiddam, STOC 2018) that serve as monotones for tensor degeneration.

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Error exponents for tripartite-to-bipartite entanglement transformations
quant-ph 2025-07 accept novelty 7.0 of 10

For pure tripartite states, the optimal deterministic rate is the minimum of two min-entropies of entanglement, and the direct and strong converse error exponents are given by explicit rate formulas.

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