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Entanglement Coordination Rates in Multi-User Networks

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arxiv 2403.11893 v4 pith:YA7G2H6D submitted 2024-03-18 quant-ph cs.ITmath.IT

classification quant-phcs.ITmath.IT
keywords entanglementnetworkquantumratescoordinationmulti-usernetworkssingle
verification ladder T0 review T1 audit T2 compute T3 formal
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The optimal coordination rates are determined in three primary settings of multi-user quantum networks, thus characterizing the minimal resources required in order to simulate a joint quantum state among multiple parties. We study the following models: (1) a cascade network with rate-limited entanglement, (2) a broadcast network, which consists of a single sender and two receivers, (3) a multiple-access network with two senders and a single receiver. We establish the necessary and sufficient conditions on the asymptotically-achievable communication and entanglement rates in each setting. At last, we show the implications of our results on nonlocal games with quantum strategies.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Empirical Coordination of Quantum Correlations

    quant-ph 2024-12 reject novelty 6.0 of 10

    For a new quantum analogue of empirical coordination, the paper proposes single-letter rate formulas but leaves a central converse unproven.

  2. Relaying Quantum Information

    quant-ph 2025-07 conditional novelty 5.0 of 10

    For finite-dimensional quantum relay channels, the paper proves achievable quantum-information and entanglement-generation rates using full and partial decode-forward coding.

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