• Inner bounds via simultaneous decoding in quantum network information theory

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      https://www.ias.ac.in/article/fulltext/sadh/046/0018

    • Keywords

       

      Quantum simultaneous decoder; one-shot inner bounds; broadcast channel; interference channel; network information theory.

    • Abstract

       

      We prove new inner bounds for several multiterminal channels with classical inputs and quantum outputs. Our inner bounds are all proved in the one-shot setting and are natural analogues of the best classical inner bounds for the respective channels. For some of these channels, similar quantum inner bounds were unknown even in the asymptotic independent and identically distributed setting. We prove our inner bounds by appealing to a new classical–quantum joint typicality lemma established in a companion paper. This lemma allows us to lift to the quantum setting many inner bound proofs for classical multiterminal channels that use intersections and unions of typical sets.

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    • Author Affiliations

       

      PRANAB SEN1

      1. School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai 400005, India
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