7 papers
Spectral Gap of the Davies Generator for the Mean-Field Heisenberg Model
Joao Basso, Thiago Bergamaschi, Lin Lin +2
The mean-field Heisenberg ferromagnet is a quantum spin model on the complete graph with isotropic spin-1/2 interactions. This non-commuting Hamiltonian is permutation and $\mathsf…
Fast mixing of all-to-all quantum systems at high temperatures
Thiago Bergamaschi
It is shown that arbitrary quantum -local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at s…
Robust Structure Learning of -local Lindbladians
Tim Möbus, Thiago Bergamaschi, Daniel Stilck França +1
We present an efficient protocol for learning an unknown -local Lindblad generator on qubits using only product-state preparations, short-time evolution, and single-qubit Pa…
Fast Mixing of Quantum Spin Chains at All Temperatures
Thiago Bergamaschi, Chi-Fang Chen
It is shown that every one-dimensional Hamiltonian with short-range interaction admits a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap at all finite tem…
A Structural Theory of Quantum Metastability: Markov Properties and Area Laws
Thiago Bergamaschi, Chi-Fang Chen, Umesh Vazirani
Statistical mechanics assumes that a quantum many-body system at low temperature can be effectively described by its Gibbs state. However, many complex quantum systems exist only a…
Rapid mixing for Gibbs states within a logical sector: a dynamical view of self-correcting quantum memories
Thiago Bergamaschi, Reza Gheissari, Yunchao Liu
Self-correcting quantum memories store logical quantum information for exponential time in thermal equilibrium at low temperatures. By definition, these systems are slow mixing. Th…