46 citations · 169 across the 13 of their papers we have counts for
14 papers
Rapid thermalization of spin chain commuting Hamiltonians
Ivan Bardet, Ángela Capel, Li Gao +3
We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilib…
Entropy decay for Davies semigroups of a one dimensional quantum lattice
Ivan Bardet, Ángela Capel, Li Gao +3
Given a finite-range, translation-invariant commuting system Hamiltonians on a spin chain, we show that the Davies semigroup describing the reduced dynamics resulting from the join…
Approximate tensorization of the relative entropy for noncommuting conditional expectations
Ivan Bardet, Angela Capel, Cambyse Rouzé
In this paper, we derive a new generalisation of the strong subadditivity of the entropy to the setting of general conditional expectations onto arbitrary finite-dimensional von Ne…
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
Ivan Bardet, Angela Capel, Angelo Lucia +2
The mixing time of Markovian dissipative evolutions of open quantum many-body systems can be bounded using optimal constants of certain quantum functional inequalities, such as the…
Group transference techniques for the estimation of the decoherence times and capacities of quantum Markov semigroups
Ivan Bardet, Marius Junge, Nicholas LaRacuente +2
Capacities of quantum channels and decoherence times both quantify the extent to which quantum information can withstand degradation by interactions with its environment. However,…
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…