Quantum Reverse Hypercontractivity: Its Tensorization and Application to Strong Converses
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03750-z
Abstract: In this paper we develop the theory of quantum reverse hypercontractivity inequalities and show how they can be derived from log-Sobolev inequalities. Next we prove a generalization of the StroockâVaropoulos inequality in the non-commutative setting… read more here.
Keywords: hypercontractivity inequalities; quantum reverse; tensorization; hypercontractivity ... See more keywords
Capacity Upper Bounds for the Relay Channel via Reverse Hypercontractivity
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DOI: 10.1109/tit.2020.3008599
Abstract: We revisit the primitive relay channel, introduced by Cover in 1987. Recent work derived upper bounds on the capacity of this channel that are tighter than the classical cutset bound using the concentration of measure.… read more here.
Keywords: upper bounds; relay channel; reverse hypercontractivity; capacity ... See more keywords