46 citations · 288 across the 24 of their papers we have counts for
22 papers · 1 filter
Modified logarithmic Sobolev inequality for 1D non-commuting Hamiltonians
Ángela Capel, David Pérez-García, Matteo Scandi
Given a finite-range, non-commuting Hamiltonian on a 1D chain of finite spins, we prove a modified logarithmic Sobolev inequality with constant for the heat-bath dyna…
Haah's 3D cubic code thermalizes rapidly
Sebastian Stengele, Libor Caha, Ángela Capel +1
Haah's 3D cubic code was introduced as a candidate for a self-correcting quantum memory in three dimensions, using the absence of string logical operators to obstruct thermal error…
Is rapid mixing stable?
Jordi A. Montañà-López, Barbara Roos, Sebastian Stengele +2
Several physically interesting Lindbladians, such as those describing generic open quantum system models as well as engineered state preparation processes, are often rapidly mixing…
Information Geometry of the Geodesic Quantum -Divergences
Ángela Capel, Pablo Costa Rico
We study the differential, statistical, and geometrical consequences generated by the geodesic quantum -divergences introduced in [14], which are constructed by interpolating th…
Geodesic Quantum -Divergences
Ángela Capel, Pablo Costa Rico
We introduce the geodesic quantum -divergences , , obtained from the affine-invariant geodesic between the standard and maximal relative modular operators.…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ángela Capel, Li Gao +5
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…
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…
Belavkin-Staszewski Quantum Markov Chains
Andreas Bluhm, Ángela 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
Ángela 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…
Strong decay of correlations for Gibbs states in any dimension
Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández
Quantum systems in thermal equilibrium are described using Gibbs states. The correlations in such states determine how difficult it is to describe or simulate them. In this article…
Unified framework for continuity of sandwiched Rényi divergences
Andreas Bluhm, Ángela 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 thr…
General Continuity Bounds for Quantum Relative Entropies
Andreas Bluhm, Ángela Capel, Paul Gondolf +1
In this article, we generalize a proof technique by Alicki, Fannes and Winter and introduce a method to prove continuity bounds for entropic quantities derived from different quant…
A generic quantum Wielandt's inequality
Yifan Jia, Angela Capel
Quantum Wielandt's inequality gives an optimal upper bound on the minimal length such that length- products of elements in a generating system span . It is…
Continuity of quantum entropic quantities via almost convexity
Andreas Bluhm, Ángela Capel, Paul Gondolf +1
Based on the proofs of the continuity of the conditional entropy by Alicki, Fannes, and Winter, we introduce in this work the almost locally affine (ALAFF) method. This method allo…
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…
Exponential decay of mutual information for Gibbs states of local Hamiltonians
Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández
The thermal equilibrium properties of physical systems can be described using Gibbs states. It is therefore of great interest to know when such states allow for an easy description…
The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
Ángela Capel, Cambyse Rouzé, Daniel Stilck França
Given a uniform, frustration-free family of local Lindbladians defined on a quantum lattice spin system in any spatial dimension, we prove a strong exponential convergence in relat…
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…
Quantum conditional relative entropy and quasi-factorization of the relative entropy
Angela Capel, Angelo Lucia, David Pérez-García
The existence of a positive log-Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation. For classical spin systems, s…
Superadditivity of quantum relative entropy for general states
Angela Capel, Angelo Lucia, David Pérez-García
The property of superadditivity of the quantum relative entropy states that, in a bipartite system , for every density operato…