Distributed quantum dense coding with two receivers in noisy environments

2014/12/19 by Tamoghna Das, R. Prabhu, Aditi Sen +2 · 33 citations
Computer Science · Mathematics · Physics and Astronomy · #Channel (broadcasting) #Coding (social sciences) #Combinatorics #Computer network #Computer science #Covariant transformation #Dirty paper coding #Mathematics #Multipartite #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistics #Theoretical computer science #Topology (electrical circuits) #Upper and lower bounds #quant-ph

paper · pdf · doi:10.1103/physreva.92.052330

published in Physical Review A 92(5) (American Physical Society) · 11 pages, 4 figures, RevTeX4-1

arxiv created 2014/12/19 · openalex publication_date 2015/11/24 · arxiv updated 2015/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the effect of noisy channels in a classical information transfer through a multipartite state which acts as a substrate for the distributed quantum dense coding protocol between several senders and two receivers. The situation is qualitatively different from the case with one or more senders and a single receiver. We obtain an upper bound on the multipartite capacity which is tightened in the case of the covariant noisy channel. We also establish a relation between the genuine multipartite entanglement of the shared state and the capacity of distributed dense coding using that state, both in the noiseless and the noisy scenarios. Specifically, we find that, in the case of multiple senders and two receivers, the corresponding generalized Greenberger-Horne-Zeilinger states possess higher dense coding capacities as compared to a significant fraction of pure states having the same multipartite entanglement.

Citations

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