Deterministic Quantum Dense Coding Networks

We consider the scenario of deterministic classical information transmission between multiple senders and a single receiver, when they a priori share a multipartite quantum state -- an attempt towards building a deterministic dense coding network. Specifically, we prove that in the case of two or th...

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Bibliographic Details
Published in:arXiv.org 2018-06
Main Authors: Roy, Saptarshi, Chanda, Titas, Das, Tamoghna, Aditi Sen De, Sen, Ujjwal
Format: Article
Language:English
Subjects:
Coding
Computer simulation
Quantum theory
Qubits (quantum computing)
Online Access:Get full text
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Summary:We consider the scenario of deterministic classical information transmission between multiple senders and a single receiver, when they a priori share a multipartite quantum state -- an attempt towards building a deterministic dense coding network. Specifically, we prove that in the case of two or three senders and a single receiver, generalized Greenberger-Horne-Zeilinger (gGHZ) states are not beneficial for sending classical information deterministically beyond the classical limit, except when the shared state is the GHZ state itself. On the other hand, three- and four-qubit generalized W (gW) states with specific parameters as well as the four-qubit Dicke states can provide a quantum advantage of sending the information in deterministic dense coding. Interestingly however, numerical simulations in the three-qubit scenario reveal that the percentage of states from the GHZ-class that are deterministic dense codeable is higher than that of states from the W-class.
ISSN:2331-8422
DOI:10.48550/arxiv.1707.02449