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quant-ph2018
Quantum reverse hypercontractivity: its tensorization and application to strong converses
Salman Beigi, Nilanjana Datta, Cambyse Rouzé
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 generalizatio…
math-ph2018
Hypercontractivity and logarithmic Sobolev Inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates
Ivan Bardet, Cambyse Rouzé
We generalize the concepts of weak quantum logarithmic Sobolev inequality (LSI) and weak hypercontractivity (HC), introduced in the quantum setting by Olkiewicz and Zegarlinski, to…