Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Capel, Angela"'
Autor:
Audenaert, Koenraad, Bergh, Bjarne, Datta, Nilanjana, Jabbour, Michael G., Capel, Ángela, Gondolf, Paul
We establish a tight upper bound for the difference in von Neumann entropies between two quantum states, $\rho_1$ and $\rho_2$. This bound is expressed in terms of the von Neumann entropies of the mutually orthogonal states derived from the Jordan-Ha
Externí odkaz:
http://arxiv.org/abs/2408.15306
Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment. The usual way of bounding the speed of this process is by estimating the spectral gap of the dissipative generator. However the gap, by itself,
Externí odkaz:
http://arxiv.org/abs/2404.16780
Autor:
Gondolf, Paul, Scalet, Samuel O., Ruiz-de-Alarcon, Alberto, Alhambra, Alvaro M., Capel, Angela
We show that spin chains in thermal equilibrium have a correlation structure in which individual regions are strongly correlated at most with their near vicinity. We quantify this with alternative notions of the conditional mutual information defined
Externí odkaz:
http://arxiv.org/abs/2402.18500
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, we show that if the Gibbs state of a quantum system satisfies that e
Externí odkaz:
http://arxiv.org/abs/2401.10147
In this paper we show that whenever a Gibbs state satisfies decay of correlations, then it is stable, in the sense that local perturbations influence the Gibbs state only locally, and it is local, namely it satisfies local indistinguishability. These
Externí odkaz:
http://arxiv.org/abs/2310.09182
In this work, we prove uniform continuity bounds for entropic quantities related to the sandwiched R\'enyi divergences such as the sandwiched R\'enyi conditional entropy. We follow three different approaches: The first one is the axiomatic approach,
Externí odkaz:
http://arxiv.org/abs/2308.12425
Publikováno v:
2023 IEEE International Symposium on Information Theory (ISIT), 162-167, 2023
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 quantum relative entropies. For the Umegaki relative entropy, we mostly rec
Externí odkaz:
http://arxiv.org/abs/2305.10140
Autor:
Jia, Yifan, Capel, Angela
Publikováno v:
Quantum 8, 1331 (2024)
Quantum Wielandt's inequality gives an optimal upper bound on the minimal length $k$ such that length-$k$ products of elements in a generating system span $M_n(\mathbb{C})$. It is conjectured that $k$ should be of order $\mathcal{O}(n^2)$ in general.
Externí odkaz:
http://arxiv.org/abs/2301.08241
Publikováno v:
IEEE Transactions on Information Theory, 69 (9), 5869-5901, 2023
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 allows us to prove a great variety of continuity bounds for the derived en
Externí odkaz:
http://arxiv.org/abs/2208.00922
Publikováno v:
Commun. Math. Phys. 405, 42 (2024)
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 joint Hamiltonian evolution of a spin chain weakly coupled to a large heat
Externí odkaz:
http://arxiv.org/abs/2112.00601