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Distillation of Greenberger-Horne-Zeilinger States by Combinatorial Methods

Vrana, Peter ; Christandl, Matthias

IEEE transactions on information theory, 2019-09, Vol.65 (9), p.5945-5958 [Periódico revisado por pares]

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Título:
Distillation of Greenberger-Horne-Zeilinger States by Combinatorial Methods
Autor: Vrana, Peter ; Christandl, Matthias
Assuntos: Complexity theory ; Entropy ; Information theory ; local operations and classical communication ; multipartite entanglement distillation ; Protocols ; Quantum entanglement ; Upper bound
É parte de: IEEE transactions on information theory, 2019-09, Vol.65 (9), p.5945-5958
Descrição: We prove a lower bound on the rate of Greenberger-Horne-Zeilinger states distillable from pure multipartite states by local operations and classical communication (LOCC). Our proof is based on a modification of a combinatorial argument used in the fast matrix multiplication algorithm of Coppersmith and Winograd. Previous use of methods from algebraic complexity in quantum information theory concerned transformations with stochastic LOCC (SLOCC), resulting in an asymptotically vanishing success probability. In contrast, our new protocol works with an asymptotically vanishing error.
Editor: IEEE
Idioma: Inglês

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