Related papers: Asymptotic continuity of additive entanglement measures

Asymptotic continuity of additive entanglement measures

URL: http://arxiv.org/abs/2107.08537v1
Date: Sun, 18 Jul 2021 21:16:31 GMT
Title: Asymptotic continuity of additive entanglement measures
Authors: P\'eter Vrana
Abstract summary: We study rates of transformations between entangled states by local operations and classical communication. For transformations between pure states, the optimal rate between any pair of states can be characterized as the infimum of such upper bounds.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study rates asymptotic of transformations between entangled states by local operations and classical communication and a sublinear amount of quantum communication. It is known that additive asymptotically continuous entanglement measures provide upper bounds on the rates that are achievable with asymptotically vanishing error. We show that for transformations between pure states, the optimal rate between any pair of states can be characterized as the infimum of such upper bounds provided by fully additive asymptotically continuous entanglement measures.

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