6 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…
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
Ãlvaro M. Alhambra, Ãngela 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…
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 entr…
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…
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…