22 citations · 42 across the 7 of their papers we have counts for
8 papers
Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics
Pablo Costa Rico, Paul Gondolf, Tim Möbus
We investigate quantum Markov semigroups on bosonic Fock space and identify a broad class of infinite-dimensional dissipative evolutions that exhibit instantaneous Sobolev regulari…
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…
Continuity bounds for quantum entropies arising from a fundamental entropic inequality
Koenraad Audenaert, Bjarne Bergh, Nilanjana Datta +3
We establish a tight upper bound for the difference in von Neumann entropies between two quantum states, and . This bound is expressed in terms of the von Neumann entrop…
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
Álvaro M. Alhambra, Ángela Capel, Paul Gondolf +2
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…
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…
Energy preserving evolutions over Bosonic systems
Paul Gondolf, Tim Möbus, Cambyse Rouzé
The exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction…
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…
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…