1. Rates of Multipartite Entanglement Transformations
- Author
-
Alexander Streltsov, C. Meignant, and Jens Eisert
- Subjects
Quantum network ,Quantum discord ,500 Naturwissenschaften und Mathematik::530 Physik::539 Moderne Physik ,Computer science ,TheoryofComputation_GENERAL ,General Physics and Astronomy ,Quantum Physics ,Quantum entanglement ,Squashed entanglement ,01 natural sciences ,Multipartite entanglement ,Quantum networks ,Multipartite ,Quantum mechanics ,0103 physical sciences ,Quantum Information ,Statistical physics ,W state ,010306 general physics ,Amplitude damping channel - Abstract
The theory of the asymptotic manipulation of pure bipartite quantum systems can be considered completely understood: the rates at which bipartite entangled states can be asymptotically transformed into each other are fully determined by a single number each, the respective entanglement entropy. In the multipartite setting, similar questions of the optimally achievable rates of transforming one pure state into another are notoriously open. This seems particularly unfortunate in the light of the revived interest in such questions due to the perspective of experimentally realizing multipartite quantum networks. In this Letter, we report substantial progress by deriving simple upper and lower bounds on the rates that can be achieved in asymptotic multipartite entanglement transformations. These bounds are based on ideas of entanglement combing and state merging. We identify cases where the bounds coincide and hence provide the exact rates. As an example, we bound rates at which resource states for the cryptographic scheme of quantum secret sharing can be distilled from arbitrary pure tripartite quantum states. This result provides further scope for quantum internet applications, supplying tools to study the implementation of multipartite protocols over quantum networks.
- Published
- 2017