Entanglement-Assisted Zero-Error Source-Channel Coding

@article{Brit2015EntanglementAssistedZS,
  title={Entanglement-Assisted Zero-Error Source-Channel Coding},
  author={J. Bri{\"e}t and H. Buhrman and M. Laurent and Teresa Piovesan and G. Scarpa},
  journal={IEEE Transactions on Information Theory},
  year={2015},
  volume={61},
  pages={1124-1138}
}
  • J. Briët, H. Buhrman, +2 authors G. Scarpa
  • Published 2015
  • Computer Science, Mathematics, Physics
  • IEEE Transactions on Information Theory
  • We study the use of quantum entanglement in the zero-error source-channel coding problem. Here, Alice and Bob are connected by a noisy classical one-way channel, and are given correlated inputs from a random source. Their goal is for Bob to learn Alice's input while using the channel as little as possible. In the zero-error regime, the optimal rates of source codes and channel codes are given by graph parameters known as the Witsenhausen rate and Shannon capacity, respectively. The Lovász… CONTINUE READING
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    References

    SHOWING 1-10 OF 56 REFERENCES
    Bounds on Entanglement Assisted Source-channel Coding Via the Lovász Theta Number and Its Variants
    • 22
    • PDF
    Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
    • 100
    • PDF
    Improving zero-error classical communication with entanglement
    • 98
    • Highly Influential
    • PDF
    Violating the Shannon capacity of metric graphs with entanglement
    • 19
    • PDF
    Zero-Error Source-Channel Coding With Side Information
    • 21
    • PDF
    On zero-error coding of correlated sources
    • 33
    • PDF