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Playing games with multiple access channels

delete2020-03-20
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OA
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F
Felix Leditzky *
M
Mohammad A. Alhejji
J
Joshua Levin
G
Graeme Smith
DOI:10.1038/s41467-020-15240-wdelete
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摘要

摘要

En 中文
Communication networks have multiple users, each sending and receiving messages. A multiple access channel (MAC) models multiple senders transmitting to a single receiver, such as the uplink from many mobile phones to a single base station. The optimal performance of a MAC is quantified by a capacity region of simultaneously achievable communication rates. We study the two-sender classical MAC, the simplest and best-understood network, and find a surprising richness in both a classical and quantum context. First, we find that quantum entanglement shared between senders can substantially boost the capacity of a classical MAC. Second, we find that optimal performance of a MAC with bounded-size inputs may require unbounded amounts of entanglement. Third, determining whether a perfect communication rate is achievable using finite-dimensional entanglement is undecidable. Finally, we show that evaluating the capacity region of a two-sender classical MAC is in fact NP-hard. Multiple access channels model communication from multiple independent senders to a common receiver. By drawing a connection to the study of classical and quantum correlations using nonlocal games, Leditzky et al. reveal remarkably complex behaviour of the entanglement-assisted and unassisted information transmission capabilities of a multiple access channel.
Keyword:
QUANTUM
ENTANGLEMENT
CAPACITY
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期刊

Nature Communications 封面图
Nature Communications
IF:
15.7
论文数:
9.4W
被引数:
91.2W

机构

University of Colorado System 封面图
University of Colorado System
学者数:
6.3W
论文数: 5.5W
被引数: 1.8K
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