Playing games with multiple access channels

Felix Leditzky (), Mohammad A. Alhejji, Joshua Levin and Graeme Smith
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Felix Leditzky: University of Colorado/NIST
Mohammad A. Alhejji: University of Colorado/NIST
Joshua Levin: University of Colorado/NIST
Graeme Smith: University of Colorado/NIST

Nature Communications, 2020, vol. 11, issue 1, 1-5

Abstract: Abstract 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.

Date: 2020
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DOI: 10.1038/s41467-020-15240-w

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