Robust Entanglement Witnessing via Dense Network Coding with Graph States

arXiv:2609.32024 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Comments: 23 pages, 5 figures, 3 tables

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 80× in this paper · explained in 3 episodes
• Adjacency Matrix — 17× in this paper · explained in 1 episode
• Robustness — 15× in this paper · explained in 5 episodes
• Multipartite Entanglement — 10× in this paper · explained in 2 episodes
• Decode — 3× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Testing dimension and non-classicality in communication networks
• Quantum secure direct communication with private dense coding using general preshared quantum state
• Distributed super dense coding over noisy channels
• Deterministic Quantum Dense Coding Networks
• Classical information storage in an $n$-level quantum system
• No-hypersignaling principle
• The Communication Value of a Quantum Channel
• Communication Advantages from Quantum Dense Network Coding
• Secure communication over generalised quantum multiple access channels
• Building Multiple Access Channels with a Single Particle
• The Multiple-Access Channel with Entangled Transmitters
• Absolutely Maximally Entangled Qudit Graph States
• Scalable Graph State Generation with O(1) Local Feedforward in Quantum Networks
• Group Representations, Error Bases and Quantum Codes
• Non-binary Unitary Error Bases and Quantum Codes

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