22 citations · 42 across the 7 of their papers we have counts for
3 papers · 2 filters
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…