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math-ph2018
Characterization of equivariant maps and application to entanglement detection
Ivan Bardet, Benoît Collins, Gunjan Sapra
We study equivariant linear maps between finite-dimensional matrix algebras, as introduced by Bhat. These maps satisfy an algebraic property which makes it easy to study their posi…
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…