2017/01/13 by Yihui Quek, Peter W. Shor, Peter Shor · 30 citations
Computer Science · Mathematics · Physics and Astronomy · #Channel (broadcasting) #Class (philosophy) #Combinatorics #Communication source #Computer science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum capacity #Quantum channel #Quantum entanglement #Quantum mechanics #Quantum network #Quantum nonlocality #Statistical physics #Telecommunications #Theoretical computer science #Theoretical physics #Topology (electrical circuits) #cs.IT #math.IT #quant-ph
paper · pdf · doi:10.1103/physreva.95.052329
published in Physical Review A 95(5) (American Physical Society)
arxiv created 2017/01/13 · openalex publication_date 2017/05/15 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the consequences of superquantum nonlocal correlations as represented by the PR-box model of Popescu and Rohrlich, and show that PR boxes can enhance the capacity of noisy interference channels between two senders and two receivers. PR-box correlations violate Bell and CHSH inequalities and are thus stronger---more nonlocal---than quantum mechanics, yet weak enough to respect special relativity in prohibiting faster-than-light communication. Understanding their power will yield insight into the nonlocality of quantum mechanics. We exhibit two proof-of-concept channels: First, we show a channel between two sender-receiver pairs where the senders are not allowed to communicate, for which a shared superquantum bit (a PR box) allows perfect communication. This feat is not achievable with the best classical (senders share no resources) or quantum-entanglement-assisted (senders share entanglement) strategies. Second, we demonstrate a class of channels for which a tunable parameter \ensuremathε achieves a double separation of capacities; for some range of \ensuremathε, the superquantum-assisted strategy does better than the entanglement-assisted strategy, which in turn does better than the classical one.