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Quantum PIR scheme for forest graphs achieves rate 3/N

Original title: Quantum Private Information Retrieval on Forests

arXiv cs.CRby Mohamed Nomeir ()1 min read
AI summary · x-ai/grok-4.7Summaries by Vani AI

The scheme uses GHZ state and achieves rate 3/N for forest graphs, more efficient than prior work, with capacity 4/6 for G=3K_2.

We consider graph private information retrieval in quantum setting on forest graphs. Servers share entangled state and send one qudit per round. Proposed scheme achieves rate 3/N using GHZ state. It is more efficient than the only prior work in quantum graph PIR. Quantum capacity for G=3K_2 is 4/6, with matching scheme and bound.

Key facts
  • rate of 3/N for forest graphs
  • uses GHZ state as initial entangled state
  • more efficient than literature work
  • quantum capacity for G=3K_2 is 4/6
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From the original article

1 min read at arxiv.org

We consider the problem of graph private information retrieval (PIR) in the quantum setting. We focus on a specific type of graphs, namely the forest graphs. A forest graph is a union of disjoint trees.

arXiv cs.CR

By Mohamed Nomeir · arxiv.org

Read the full article at arXiv cs.CR

A short excerpt; the article and its images belong to the publisher. Summary, key facts and assessment above are AI-written from the article and can be wrong.