Deterministic Quantum Dense Coding Networks

Abstract

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.

11 pages, 2 figures, close to published version

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• Controlled State Reconstruction and Quantum Secret Sharing
• Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
• One-shot conclusive multiport quantum dense coding capacities
• Measurement-based Multipartite Entanglement Inflation
• Superiority in dense coding through non-Markovian stochasticity
• Quantum channels that destroy negative conditional entropy
• Maximal Secret Reconstruction, Teleportation and Bell's Inequality
• Quantum entanglement percolation under a realistic restriction
• Secure communication over generalised quantum multiple access channels
• W-class states-identification and quantification of Bell-CHSH inequalities' violation