5 papers · 1 filter
Classical Estimation of the Free Energy and Quantum Gibbs Sampling from the Markov Entropy Decomposition
Samuel O. Scalet, Angela Capel, Anirban N. Chowdhury +4
We revisit the Markov Entropy Decomposition, a classical convex relaxation algorithm introduced by Poulin and Hastings to approximate the free energy in quantum spin lattices. We i…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ãngela Capel, Ángela Capel +9
We consider the class of Davies quantum semigroups modelling thermalization for translation-invariant Calderbank-Shor-Steane (CSS) codes in D dimensions. We prove that conditions o…
Belavkin-Staszewski Quantum Markov Chains
Andreas Bluhm, Ãngela Capel, Pablo Costa Rico +1
It is well-known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is a quantum Markov chain. Replacing the Umegaki relative ent…
Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics
Ãngela Capel, Paul Gondolf, Jan Kochanowski +1
We study the problem of sampling from and preparing quantum Gibbs states of local commuting Hamiltonians on hypercubic lattices of arbitrary dimension. We prove that any such Gibbs…
Unified framework for continuity of sandwiched Rényi divergences
Andreas Bluhm, Ãngela Capel, Paul Gondolf +1
In this work, we prove uniform continuity bounds for entropic quantities related to the sandwiched Rényi divergences such as the sandwiched Rényi conditional entropy. We follow t…